{ "problem_id": "auto_problem_099", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 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": 3520, "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n\nPerformance:\n Mass: 142.79 kg\n Factor of Safety: 0.28\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": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "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: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0047)]\n\nPerformance:\n Mass: 169.33 kg\n Factor of Safety: 1.11\n Max Deflection: 2.56e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 169.32950277710063, "fos_buckling": 1.1057526744641013, "fos_yielding": 3.1615247687275363, "deflection": 0.00255967061064547, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.004671)" }, "parent_node_id": "node_0", "improvement_over_parent": null }, "node_2": { "node_id": "node_2", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n\nPerformance:\n Mass: 199.87 kg\n Factor of Safety: 1.27\n Max Deflection: 2.17e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 199.8709755913077, "fos_buckling": 1.2655500004839018, "fos_yielding": 3.734277759380594, "deflection": 0.0021725455776523757, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.198)" }, "parent_node_id": "node_1", "improvement_over_parent": null }, "node_3": { "node_id": "node_3", "content": "MODIFICATION: Increase 1 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n\nPerformance:\n Mass: 201.26 kg\n Factor of Safety: 1.27\n Max Deflection: 2.13e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 201.26192626521305, "fos_buckling": 1.265196205644136, "fos_yielding": 4.237716227465755, "deflection": 0.0021273238503047905, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.241)" }, "parent_node_id": "node_2", "improvement_over_parent": null }, "node_4": { "node_id": "node_4", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n\nPerformance:\n Mass: 204.08 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.0761581543331, "fos_buckling": 1.5446350102813908, "fos_yielding": 4.255553326185282, "deflection": 0.002005614048018519, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.002221)" }, "parent_node_id": "node_3", "improvement_over_parent": null }, "node_5": { "node_id": "node_5", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_4", "improvement_over_parent": null }, "node_6": { "node_id": "node_6", "content": "INITIAL DESIGN (Trace 1)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0017)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0033)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0020)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0018)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0028)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0039)]\n\nPerformance:\n Mass: 129.68 kg\n Factor of Safety: 0.75\n Max Deflection: 3.56e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 129.68316814603497, "fos_buckling": 0.7509932666556636, "fos_yielding": 2.0016650438170096, "deflection": 0.0035610274713182223, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_7": { "node_id": "node_7", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0032)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0045)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0042)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0025)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0050)]\n\nPerformance:\n Mass: 161.00 kg\n Factor of Safety: 0.90\n Max Deflection: 2.87e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 161.00237094779075, "fos_buckling": 0.9040629868711184, "fos_yielding": 2.4891858584616715, "deflection": 0.0028717097997892154, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.261)" }, "parent_node_id": "node_6", "improvement_over_parent": null }, "node_8": { "node_id": "node_8", "content": "MODIFICATION: Increase 10 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0032)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0045)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0042)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0050)]\n\nPerformance:\n Mass: 162.64 kg\n Factor of Safety: 0.90\n Max Deflection: 2.85e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 162.64266272929305, "fos_buckling": 0.9014152968904139, "fos_yielding": 2.492659016748006, "deflection": 0.002854894336895607, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.209)" }, "parent_node_id": "node_7", "improvement_over_parent": null }, "node_9": { "node_id": "node_9", "content": "MODIFICATION: Increase 2 thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0032)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0045)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0042)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0050)]\n\nPerformance:\n Mass: 164.03 kg\n Factor of Safety: 0.92\n Max Deflection: 2.76e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 164.03253283254458, "fos_buckling": 0.9174390178791556, "fos_yielding": 3.091705126940419, "deflection": 0.0027562583874014917, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.272)" }, "parent_node_id": "node_8", "improvement_over_parent": null }, "node_10": { "node_id": "node_10", "content": "MODIFICATION: Increase 7 thickness by 40%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0032)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0045)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0042)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0050)]\n\nPerformance:\n Mass: 166.38 kg\n Factor of Safety: 0.90\n Max Deflection: 2.71e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 166.3799933109526, "fos_buckling": 0.8959867950847722, "fos_yielding": 3.126456398622369, "deflection": 0.0027117114824407765, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.404)" }, "parent_node_id": "node_9", "improvement_over_parent": null }, "node_11": { "node_id": "node_11", "content": "MODIFICATION: Increase 12 thickness by 53%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0032)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0045)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0042)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0050)]\n\nPerformance:\n Mass: 170.99 kg\n Factor of Safety: 0.90\n Max Deflection: 2.71e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 170.9905791973383, "fos_buckling": 0.8980360826151602, "fos_yielding": 3.123030591623606, "deflection": 0.002712220146787272, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.534)" }, "parent_node_id": "node_10", "improvement_over_parent": null }, "node_12": { "node_id": "node_12", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 190.60 kg\n Factor of Safety: 0.98\n Max Deflection: 2.44e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 190.59667205538113, "fos_buckling": 0.9831290703500964, "fos_yielding": 3.4783304076804726, "deflection": 0.0024353429567060556, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.126)" }, "parent_node_id": "node_11", "improvement_over_parent": null }, "node_13": { "node_id": "node_13", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 203.92 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.92020612702638, "fos_buckling": 1.5437510783519166, "fos_yielding": 4.249584007767949, "deflection": 0.002007212795835364, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.004024)" }, "parent_node_id": "node_12", "improvement_over_parent": null }, "node_14": { "node_id": "node_14", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_13", "improvement_over_parent": null }, "node_15": { "node_id": "node_15", "content": "INITIAL DESIGN (Trace 2)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0013)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0016)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0031)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0017)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0028)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0024)]\n\nPerformance:\n Mass: 93.67 kg\n Factor of Safety: 0.21\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": 93.6688537396029, "fos_buckling": 0.21245036759704833, "fos_yielding": 1.0902552344867984, "deflection": 0.01275948391871116, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_16": { "node_id": "node_16", "content": "MODIFICATION: Increase 7 thickness by 46%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0013)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0016)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0031)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0028)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0024)]\n\nPerformance:\n Mass: 96.18 kg\n Factor of Safety: 0.21\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": 96.18008235105955, "fos_buckling": 0.2123777396498949, "fos_yielding": 1.0898818348081873, "deflection": 0.012615714645231141, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.456)" }, "parent_node_id": "node_15", "improvement_over_parent": null }, "node_17": { "node_id": "node_17", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n\nPerformance:\n Mass: 124.63 kg\n Factor of Safety: 0.27\n Max Deflection: 9.76e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 124.63442570687113, "fos_buckling": 0.26600508531981937, "fos_yielding": 1.4097941554735205, "deflection": 0.009756144390962795, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.318)" }, "parent_node_id": "node_16", "improvement_over_parent": null }, "node_18": { "node_id": "node_18", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0044)]\n\nPerformance:\n Mass: 149.96 kg\n Factor of Safety: 0.40\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": 149.95954050776862, "fos_buckling": 0.39725205565558, "fos_yielding": 1.6962987362904605, "deflection": 0.007548429337645164, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.004440)" }, "parent_node_id": "node_17", "improvement_over_parent": null }, "node_19": { "node_id": "node_19", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n\nPerformance:\n Mass: 185.33 kg\n Factor of Safety: 0.47\n Max Deflection: 6.13e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 185.3339812341664, "fos_buckling": 0.4735650608757986, "fos_yielding": 2.090060155918082, "deflection": 0.006128196548735342, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.259)" }, "parent_node_id": "node_18", "improvement_over_parent": null }, "node_20": { "node_id": "node_20", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n\nPerformance:\n Mass: 196.66 kg\n Factor of Safety: 0.47\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": 196.65862323627326, "fos_buckling": 0.4733833269086765, "fos_yielding": 2.3233037935863807, "deflection": 0.0051866150350605425, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.003363)" }, "parent_node_id": "node_19", "improvement_over_parent": null }, "node_21": { "node_id": "node_21", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n\nPerformance:\n Mass: 203.89 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.88976902448167, "fos_buckling": 1.5434787289590886, "fos_yielding": 4.251527887235605, "deflection": 0.0020074077301103707, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.003560)" }, "parent_node_id": "node_20", "improvement_over_parent": null }, "node_22": { "node_id": "node_22", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_21", "improvement_over_parent": null }, "node_23": { "node_id": "node_23", "content": "INITIAL DESIGN (Trace 3)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0023)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0033)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0023)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0022)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0027)]\n\nPerformance:\n Mass: 106.99 kg\n Factor of Safety: 0.24\n Max Deflection: 8.98e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 106.9927019889409, "fos_buckling": 0.23911814496236614, "fos_yielding": 1.2464122797947237, "deflection": 0.008980489094647787, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_24": { "node_id": "node_24", "content": "MODIFICATION: Increase 6 thickness by 56%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0036)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0033)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0023)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0022)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0027)]\n\nPerformance:\n Mass: 112.34 kg\n Factor of Safety: 0.24\n Max Deflection: 8.81e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 112.3424195536411, "fos_buckling": 0.239118144962366, "fos_yielding": 1.2464122797947232, "deflection": 0.008814299997179968, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.565)" }, "parent_node_id": "node_23", "improvement_over_parent": null }, "node_25": { "node_id": "node_25", "content": "MODIFICATION: Increase 7 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0036)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0033)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0023)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0022)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0027)]\n\nPerformance:\n Mass: 114.50 kg\n Factor of Safety: 0.24\n Max Deflection: 8.32e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 114.49564995358702, "fos_buckling": 0.23904814301176086, "fos_yielding": 1.2460466233445535, "deflection": 0.008319059398939802, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.311)" }, "parent_node_id": "node_24", "improvement_over_parent": null }, "node_26": { "node_id": "node_26", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0036)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0033)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0023)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0022)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0027)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0039)]\n\nPerformance:\n Mass: 136.86 kg\n Factor of Safety: 0.63\n Max Deflection: 2.97e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 136.8622001802529, "fos_buckling": 0.6334025573305695, "fos_yielding": 2.936948125968317, "deflection": 0.002966970441076634, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.003887)" }, "parent_node_id": "node_25", "improvement_over_parent": null }, "node_27": { "node_id": "node_27", "content": "MODIFICATION: Increase 12 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0036)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0033)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0023)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0027)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0039)]\n\nPerformance:\n Mass: 138.80 kg\n Factor of Safety: 0.67\n Max Deflection: 2.93e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 138.80344969755555, "fos_buckling": 0.6675667800792593, "fos_yielding": 2.898437390216627, "deflection": 0.0029307226923212105, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.225)" }, "parent_node_id": "node_26", "improvement_over_parent": null }, "node_28": { "node_id": "node_28", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0048)]\n\nPerformance:\n Mass: 169.07 kg\n Factor of Safety: 0.79\n Max Deflection: 2.41e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 169.07142364660655, "fos_buckling": 0.7890214644990117, "fos_yielding": 3.5217056994245794, "deflection": 0.0024104704832652374, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.236)" }, "parent_node_id": "node_27", "improvement_over_parent": null }, "node_29": { "node_id": "node_29", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n\nPerformance:\n Mass: 194.31 kg\n Factor of Safety: 0.88\n Max Deflection: 2.10e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 194.31005124869483, "fos_buckling": 0.8838207694500229, "fos_yielding": 4.039047472012751, "deflection": 0.0021005849727486437, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.164)" }, "parent_node_id": "node_28", "improvement_over_parent": null }, "node_30": { "node_id": "node_30", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n\nPerformance:\n Mass: 203.95 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.95181617097785, "fos_buckling": 1.5439569852964845, "fos_yielding": 4.253058872767788, "deflection": 0.002006760314191183, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.003423)" }, "parent_node_id": "node_29", "improvement_over_parent": null }, "node_31": { "node_id": "node_31", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_30", "improvement_over_parent": null }, "node_32": { "node_id": "node_32", "content": "INITIAL DESIGN (Trace 4)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0013)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0015)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0019)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0019)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0027)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0019)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0025)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0022)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0022)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0032)]\n\nPerformance:\n Mass: 115.49 kg\n Factor of Safety: 0.30\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": 115.49283727769848, "fos_buckling": 0.3002083384245351, "fos_yielding": 1.3733257075225356, "deflection": 0.008766786257877541, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_33": { "node_id": "node_33", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0019)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0038)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0035)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0025)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0042)]\n\nPerformance:\n Mass: 149.93 kg\n Factor of Safety: 0.38\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": 149.9348816246732, "fos_buckling": 0.3774761413396681, "fos_yielding": 1.7779897877960824, "deflection": 0.006774078324895907, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.319)" }, "parent_node_id": "node_32", "improvement_over_parent": null }, "node_34": { "node_id": "node_34", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0047)]\n\nPerformance:\n Mass: 167.83 kg\n Factor of Safety: 0.42\n Max Deflection: 6.06e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 167.8311084711163, "fos_buckling": 0.4154242142054382, "fos_yielding": 1.9873804239339619, "deflection": 0.006061555482155837, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.129)" }, "parent_node_id": "node_33", "improvement_over_parent": null }, "node_35": { "node_id": "node_35", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 196.71 kg\n Factor of Safety: 0.47\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": 196.70850915673296, "fos_buckling": 0.47349988588685143, "fos_yielding": 2.3240008213213152, "deflection": 0.005185210813420818, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.189)" }, "parent_node_id": "node_34", "improvement_over_parent": null }, "node_36": { "node_id": "node_36", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n\nPerformance:\n Mass: 203.94 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93965494494137, "fos_buckling": 1.5437399399088227, "fos_yielding": 4.25270635116103, "deflection": 0.0020069374871149346, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.003560)" }, "parent_node_id": "node_35", "improvement_over_parent": null }, "node_37": { "node_id": "node_37", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_36", "improvement_over_parent": null }, "node_38": { "node_id": "node_38", "content": "INITIAL DESIGN (Trace 5)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0016)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0019)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0018)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0025)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0032)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0041)]\n\nPerformance:\n Mass: 145.22 kg\n Factor of Safety: 0.37\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": 145.21581719931186, "fos_buckling": 0.37162681519618174, "fos_yielding": 1.746381151877906, "deflection": 0.006940173659899371, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_39": { "node_id": "node_39", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0045)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0042)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0050)]\n\nPerformance:\n Mass: 173.87 kg\n Factor of Safety: 0.43\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": 173.87279723953628, "fos_buckling": 0.43279142202759696, "fos_yielding": 2.0858718663947053, "deflection": 0.005811976686121963, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.214)" }, "parent_node_id": "node_38", "improvement_over_parent": null }, "node_40": { "node_id": "node_40", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0045)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0042)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0050)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0032)]\n\nPerformance:\n Mass: 180.35 kg\n Factor of Safety: 1.32\n Max Deflection: 2.25e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 180.35134675613438, "fos_buckling": 1.3225687616270139, "fos_yielding": 3.751190392003641, "deflection": 0.002252134678207826, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.003157)" }, "parent_node_id": "node_39", "improvement_over_parent": null }, "node_41": { "node_id": "node_41", "content": "MODIFICATION: Increase 9 thickness by 42%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0045)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0059)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0050)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0032)]\n\nPerformance:\n Mass: 187.76 kg\n Factor of Safety: 1.33\n Max Deflection: 2.21e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 187.76031366191432, "fos_buckling": 1.3271174622038517, "fos_yielding": 3.747535742558171, "deflection": 0.002206285448564888, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.420)" }, "parent_node_id": "node_40", "improvement_over_parent": null }, "node_42": { "node_id": "node_42", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0067)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n\nPerformance:\n Mass: 209.34 kg\n Factor of Safety: 1.46\n Max Deflection: 1.98e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 209.33658787243837, "fos_buckling": 1.4597154472730633, "fos_yielding": 4.175950177774033, "deflection": 0.0019807894680571856, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.127)" }, "parent_node_id": "node_41", "improvement_over_parent": null }, "node_43": { "node_id": "node_43", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_42", "improvement_over_parent": null }, "node_44": { "node_id": "node_44", "content": "INITIAL DESIGN (Trace 6)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0017)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0024)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nPerformance:\n Mass: 144.78 kg\n Factor of Safety: 0.84\n Max Deflection: 3.16e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 144.778494024003, "fos_buckling": 0.8386725848435722, "fos_yielding": 2.644617245801897, "deflection": 0.0031641448194658682, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_45": { "node_id": "node_45", "content": "MODIFICATION: Increase 0 thickness by 45%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0024)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nPerformance:\n Mass: 146.08 kg\n Factor of Safety: 0.84\n Max Deflection: 3.12e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 146.08191114384093, "fos_buckling": 0.8387128646315599, "fos_yielding": 2.644500023705529, "deflection": 0.0031224556162246977, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.449)" }, "parent_node_id": "node_44", "improvement_over_parent": null }, "node_46": { "node_id": "node_46", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0024)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n\nPerformance:\n Mass: 161.45 kg\n Factor of Safety: 1.27\n Max Deflection: 2.50e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 161.45485408642426, "fos_buckling": 1.2687218718983462, "fos_yielding": 3.3761397194569347, "deflection": 0.0025036923939983913, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.003449)" }, "parent_node_id": "node_45", "improvement_over_parent": null }, "node_47": { "node_id": "node_47", "content": "MODIFICATION: Increase 14 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0024)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0057)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n\nPerformance:\n Mass: 168.10 kg\n Factor of Safety: 1.32\n Max Deflection: 2.35e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 168.09664544000316, "fos_buckling": 1.3170588224883686, "fos_yielding": 3.2775822812198827, "deflection": 0.0023534013714669086, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.290)" }, "parent_node_id": "node_46", "improvement_over_parent": null }, "node_48": { "node_id": "node_48", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0072)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n\nPerformance:\n Mass: 208.64 kg\n Factor of Safety: 1.58\n Max Deflection: 1.90e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 208.63919381404241, "fos_buckling": 1.57836043668181, "fos_yielding": 4.065589457669523, "deflection": 0.0019019904763203953, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.266)" }, "parent_node_id": "node_47", "improvement_over_parent": null }, "node_49": { "node_id": "node_49", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_48", "improvement_over_parent": null }, "node_50": { "node_id": "node_50", "content": "INITIAL DESIGN (Trace 7)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 141.07 kg\n Factor of Safety: 0.23\n Max Deflection: 7.99e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 141.0693054151821, "fos_buckling": 0.22545930567010278, "fos_yielding": 1.1633141640146272, "deflection": 0.007987654275076587, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_51": { "node_id": "node_51", "content": "MODIFICATION: Increase 0 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 142.52 kg\n Factor of Safety: 0.23\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": 142.51875424602952, "fos_buckling": 0.22544818756032772, "fos_yielding": 1.1632567973224874, "deflection": 0.00795692197284914, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.393)" }, "parent_node_id": "node_50", "improvement_over_parent": null }, "node_52": { "node_id": "node_52", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n\nPerformance:\n Mass: 161.62 kg\n Factor of Safety: 0.23\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": 161.62247356882293, "fos_buckling": 0.2250094550112156, "fos_yielding": 1.1609930460566906, "deflection": 0.006479895653517774, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.004368)" }, "parent_node_id": "node_51", "improvement_over_parent": null }, "node_53": { "node_id": "node_53", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n\nPerformance:\n Mass: 192.93 kg\n Factor of Safety: 1.26\n Max Deflection: 2.10e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 192.93202391375175, "fos_buckling": 1.2550516009104555, "fos_yielding": 3.491060895090975, "deflection": 0.0020954249657949685, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.005592)" }, "parent_node_id": "node_52", "improvement_over_parent": null }, "node_54": { "node_id": "node_54", "content": "MODIFICATION: Increase 5 thickness by 55%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n\nPerformance:\n Mass: 194.21 kg\n Factor of Safety: 1.25\n Max Deflection: 2.09e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 194.20589862548013, "fos_buckling": 1.2546071958889824, "fos_yielding": 3.489824734768227, "deflection": 0.002087481036893463, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.546)" }, "parent_node_id": "node_53", "improvement_over_parent": null }, "node_55": { "node_id": "node_55", "content": "MODIFICATION: Increase 6 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n\nPerformance:\n Mass: 199.81 kg\n Factor of Safety: 1.36\n Max Deflection: 2.05e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 199.81273224037363, "fos_buckling": 1.3589809608673464, "fos_yielding": 4.154373938863652, "deflection": 0.00205256799331797, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.385)" }, "parent_node_id": "node_54", "improvement_over_parent": null }, "node_56": { "node_id": "node_56", "content": "MODIFICATION: Increase 8 thickness by 49%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n\nPerformance:\n Mass: 203.92 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.92490388890343, "fos_buckling": 1.543800863124071, "fos_yielding": 4.252408186265831, "deflection": 0.0020070032818958303, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.490)" }, "parent_node_id": "node_55", "improvement_over_parent": null }, "node_57": { "node_id": "node_57", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_56", "improvement_over_parent": null }, "node_58": { "node_id": "node_58", "content": "INITIAL DESIGN (Trace 8)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0015)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0018)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0011)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0017)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0009)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0016)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0023)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0016)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0021)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0012)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0019)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0027)]\n\nPerformance:\n Mass: 94.49 kg\n Factor of Safety: 0.43\n Max Deflection: 4.29e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 94.48747260607854, "fos_buckling": 0.43486709501530474, "fos_yielding": 2.0898412827807546, "deflection": 0.004288558450951154, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_59": { "node_id": "node_59", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0017)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0012)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0010)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0019)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0026)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0019)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0024)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0014)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0022)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0031)]\n\nPerformance:\n Mass: 109.52 kg\n Factor of Safety: 0.50\n Max Deflection: 3.70e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 109.51764904986034, "fos_buckling": 0.49695928530583583, "fos_yielding": 2.4209340737271505, "deflection": 0.0037031369719287776, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.167)" }, "parent_node_id": "node_58", "improvement_over_parent": null }, "node_60": { "node_id": "node_60", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0017)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0012)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0010)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0019)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0026)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0019)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0024)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0014)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0022)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0031)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0019)]\n\nPerformance:\n Mass: 115.14 kg\n Factor of Safety: 0.86\n Max Deflection: 3.48e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 115.13891898881063, "fos_buckling": 0.8590498653049334, "fos_yielding": 2.478807736183379, "deflection": 0.0034840719587654807, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.001919)" }, "parent_node_id": "node_59", "improvement_over_parent": null }, "node_61": { "node_id": "node_61", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0013)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0037)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0025)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0032)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0019)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0041)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n\nPerformance:\n Mass: 147.53 kg\n Factor of Safety: 1.08\n Max Deflection: 2.72e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 147.53125248902603, "fos_buckling": 1.0804816467273448, "fos_yielding": 3.1693520786404012, "deflection": 0.0027248340799700065, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.300)" }, "parent_node_id": "node_60", "improvement_over_parent": null }, "node_62": { "node_id": "node_62", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0042)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0046)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n\nPerformance:\n Mass: 164.93 kg\n Factor of Safety: 1.20\n Max Deflection: 2.44e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 164.93464435845814, "fos_buckling": 1.195767058619117, "fos_yielding": 3.5391370317938873, "deflection": 0.0024400827678081136, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.127)" }, "parent_node_id": "node_61", "improvement_over_parent": null }, "node_63": { "node_id": "node_63", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n\nPerformance:\n Mass: 197.75 kg\n Factor of Safety: 1.41\n Max Deflection: 2.04e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 197.7493148109242, "fos_buckling": 1.406120258375738, "fos_yielding": 4.234066852505638, "deflection": 0.0020395378096255113, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.218)" }, "parent_node_id": "node_62", "improvement_over_parent": null }, "node_64": { "node_id": "node_64", "content": "MODIFICATION: Increase 13 thickness by 55%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0061)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n\nPerformance:\n Mass: 205.00 kg\n Factor of Safety: 1.28\n Max Deflection: 2.02e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 205.00116952820454, "fos_buckling": 1.2768596113752027, "fos_yielding": 4.220296385439166, "deflection": 0.0020230019302308936, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.546)" }, "parent_node_id": "node_63", "improvement_over_parent": null }, "node_65": { "node_id": "node_65", "content": "MODIFICATION: Increase 5 thickness by 41%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0061)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n\nPerformance:\n Mass: 206.04 kg\n Factor of Safety: 1.46\n Max Deflection: 2.01e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 206.04019153711104, "fos_buckling": 1.458297742940005, "fos_yielding": 4.2130412001435875, "deflection": 0.0020131681309473693, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.408)" }, "parent_node_id": "node_64", "improvement_over_parent": null }, "node_66": { "node_id": "node_66", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_65", "improvement_over_parent": null }, "node_67": { "node_id": "node_67", "content": "INITIAL DESIGN (Trace 9)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0032)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0023)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0026)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0038)]\n\nPerformance:\n Mass: 117.30 kg\n Factor of Safety: 0.38\n Max Deflection: 3.67e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 117.2951114399445, "fos_buckling": 0.376483262304139, "fos_yielding": 0.7943299013057162, "deflection": 3672096042481.6724, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_68": { "node_id": "node_68", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0045)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0049)]\n\nPerformance:\n Mass: 149.13 kg\n Factor of Safety: 0.13\n Max Deflection: 2.08e+13 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 149.12848139039448, "fos_buckling": 0.13413117778925313, "fos_yielding": 0.6438581974166999, "deflection": 20800921749239.402, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.294)" }, "parent_node_id": "node_67", "improvement_over_parent": null }, "node_69": { "node_id": "node_69", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0045)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0049)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n\nPerformance:\n Mass: 159.45 kg\n Factor of Safety: 0.89\n Max Deflection: 3.00e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 159.45080101156137, "fos_buckling": 0.8924046264063747, "fos_yielding": 2.893791850262261, "deflection": 0.002996557833106764, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.002531)" }, "parent_node_id": "node_68", "improvement_over_parent": null }, "node_70": { "node_id": "node_70", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0045)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0049)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n\nPerformance:\n Mass: 176.28 kg\n Factor of Safety: 1.36\n Max Deflection: 2.29e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 176.28312924628614, "fos_buckling": 1.3569585086923341, "fos_yielding": 3.76630079930557, "deflection": 0.0022938933592188235, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.003804)" }, "parent_node_id": "node_69", "improvement_over_parent": null }, "node_71": { "node_id": "node_71", "content": "MODIFICATION: Increase 13 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0045)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0066)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n\nPerformance:\n Mass: 185.09 kg\n Factor of Safety: 1.38\n Max Deflection: 2.14e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 185.08516726801818, "fos_buckling": 1.375303885810229, "fos_yielding": 3.62863064196737, "deflection": 0.0021397348257436426, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.357)" }, "parent_node_id": "node_70", "improvement_over_parent": null }, "node_72": { "node_id": "node_72", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0076)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n\nPerformance:\n Mass: 209.86 kg\n Factor of Safety: 1.53\n Max Deflection: 1.89e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 209.86355669723616, "fos_buckling": 1.528715363381163, "fos_yielding": 4.113363898670136, "deflection": 0.001890488511746123, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.148)" }, "parent_node_id": "node_71", "improvement_over_parent": null }, "node_73": { "node_id": "node_73", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_72", "improvement_over_parent": null }, "node_74": { "node_id": "node_74", "content": "INITIAL DESIGN (Trace 10)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0032)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0046)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0031)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0031)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0042)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0035)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, 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_75": { "node_id": "node_75", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0032)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0046)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0031)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0031)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0042)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0035)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0050)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n\nPerformance:\n Mass: 178.16 kg\n Factor of Safety: 1.16\n Max Deflection: 2.53e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 178.16157111689526, "fos_buckling": 1.1647814373315515, "fos_yielding": 3.166394300016928, "deflection": 0.0025344107508976812, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.003008)" }, "parent_node_id": "node_74", "improvement_over_parent": null }, "node_76": { "node_id": "node_76", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0032)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0046)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0031)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0031)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0042)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0035)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0050)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n\nPerformance:\n Mass: 180.70 kg\n Factor of Safety: 1.17\n Max Deflection: 2.41e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 180.7034161198091, "fos_buckling": 1.169405955069309, "fos_yielding": 3.1661213583447227, "deflection": 0.0024100199558155216, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.001987)" }, "parent_node_id": "node_75", "improvement_over_parent": null }, "node_77": { "node_id": "node_77", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n\nPerformance:\n Mass: 200.27 kg\n Factor of Safety: 1.27\n Max Deflection: 2.18e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 200.26903107700485, "fos_buckling": 1.271993638053843, "fos_yielding": 3.504605715373689, "deflection": 0.002177290098168151, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.119)" }, "parent_node_id": "node_76", "improvement_over_parent": null }, "node_78": { "node_id": "node_78", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n\nPerformance:\n Mass: 204.10 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.10143984372363, "fos_buckling": 1.5447120153453486, "fos_yielding": 4.25600128462007, "deflection": 0.002005342251328119, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002592)" }, "parent_node_id": "node_77", "improvement_over_parent": null }, "node_79": { "node_id": "node_79", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_78", "improvement_over_parent": null }, "node_80": { "node_id": "node_80", "content": "INITIAL DESIGN (Trace 11)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0012)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0015)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0009)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0014)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0010)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0020)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0014)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0014)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0019)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0013)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0016)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0011)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0022)]\n\nPerformance:\n Mass: 75.89 kg\n Factor of Safety: 0.47\n Max Deflection: 5.95e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 75.89092035758736, "fos_buckling": 0.47165439015827115, "fos_yielding": 1.3904403712859352, "deflection": 0.005953375057587608, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_81": { "node_id": "node_81", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0016)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0019)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0011)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0018)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0013)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0018)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0024)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0017)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0020)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0014)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0029)]\n\nPerformance:\n Mass: 96.94 kg\n Factor of Safety: 0.59\n Max Deflection: 4.67e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 96.9401527081504, "fos_buckling": 0.5910582052130077, "fos_yielding": 1.7735367505725583, "deflection": 0.0046658721721756025, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.290)" }, "parent_node_id": "node_80", "improvement_over_parent": null }, "node_82": { "node_id": "node_82", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0030)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0021)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0017)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0036)]\n\nPerformance:\n Mass: 118.21 kg\n Factor of Safety: 0.71\n Max Deflection: 3.83e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 118.21080144635317, "fos_buckling": 0.7066728835863078, "fos_yielding": 2.159524357810754, "deflection": 0.0038306316443197036, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.232)" }, "parent_node_id": "node_81", "improvement_over_parent": null }, "node_83": { "node_id": "node_83", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0021)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n\nPerformance:\n Mass: 140.52 kg\n Factor of Safety: 0.82\n Max Deflection: 3.23e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 140.5170359559681, "fos_buckling": 0.8224631396041273, "fos_yielding": 2.563067058450207, "deflection": 0.00322638670571198, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.202)" }, "parent_node_id": "node_82", "improvement_over_parent": null }, "node_84": { "node_id": "node_84", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0021)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n\nPerformance:\n Mass: 155.40 kg\n Factor of Safety: 1.23\n Max Deflection: 2.59e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 155.39564194328761, "fos_buckling": 1.2252618458639697, "fos_yielding": 3.246329179156067, "deflection": 0.0025916492181971276, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.003330)" }, "parent_node_id": "node_83", "improvement_over_parent": null }, "node_85": { "node_id": "node_85", "content": "MODIFICATION: Increase 14 thickness by 45%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0021)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0062)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n\nPerformance:\n Mass: 165.36 kg\n Factor of Safety: 1.28\n Max Deflection: 2.37e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 165.36111602839557, "fos_buckling": 1.2824050201703356, "fos_yielding": 3.119817874997894, "deflection": 0.0023705561167662835, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.453)" }, "parent_node_id": "node_84", "improvement_over_parent": null }, "node_86": { "node_id": "node_86", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0027)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0081)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n\nPerformance:\n Mass: 211.81 kg\n Factor of Safety: 1.58\n Max Deflection: 1.86e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 211.81107285656924, "fos_buckling": 1.580116673926773, "fos_yielding": 3.998263110653444, "deflection": 0.001857225731686808, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.311)" }, "parent_node_id": "node_85", "improvement_over_parent": null }, "node_87": { "node_id": "node_87", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_86", "improvement_over_parent": null }, "node_88": { "node_id": "node_88", "content": "INITIAL DESIGN (Trace 12)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0042)]\n\nPerformance:\n Mass: 131.97 kg\n Factor of Safety: 0.90\n Max Deflection: 3.03e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 131.97029463065047, "fos_buckling": 0.8977326820079048, "fos_yielding": 2.7304575173756795, "deflection": 0.0030274888186474723, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_89": { "node_id": "node_89", "content": "MODIFICATION: Increase 11 thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0042)]\n\nPerformance:\n Mass: 135.08 kg\n Factor of Safety: 0.90\n Max Deflection: 3.00e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 135.08002014464142, "fos_buckling": 0.8971674776962155, "fos_yielding": 2.729591430406651, "deflection": 0.003001939646651945, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.284)" }, "parent_node_id": "node_88", "improvement_over_parent": null }, "node_90": { "node_id": "node_90", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 174.03 kg\n Factor of Safety: 1.12\n Max Deflection: 2.34e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 174.03436847364844, "fos_buckling": 1.115990529171252, "fos_yielding": 3.506471566141649, "deflection": 0.002336321400590944, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.316)" }, "parent_node_id": "node_89", "improvement_over_parent": null }, "node_91": { "node_id": "node_91", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 189.49 kg\n Factor of Safety: 1.11\n Max Deflection: 2.17e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 189.48527298738924, "fos_buckling": 1.1148335164254777, "fos_yielding": 4.23669444576833, "deflection": 0.0021749360611357776, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003928)" }, "parent_node_id": "node_90", "improvement_over_parent": null }, "node_92": { "node_id": "node_92", "content": "MODIFICATION: Increase 10 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 192.64 kg\n Factor of Safety: 1.27\n Max Deflection: 2.13e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 192.6425055116575, "fos_buckling": 1.2664989614245326, "fos_yielding": 4.236307319834043, "deflection": 0.002127278336146437, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.182)" }, "parent_node_id": "node_91", "improvement_over_parent": null }, "node_93": { "node_id": "node_93", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n\nPerformance:\n Mass: 203.97 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.96714751376436, "fos_buckling": 1.543793331359427, "fos_yielding": 4.252891122016338, "deflection": 0.002006705092657988, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.003363)" }, "parent_node_id": "node_92", "improvement_over_parent": null }, "node_94": { "node_id": "node_94", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_93", "improvement_over_parent": null }, "node_95": { "node_id": "node_95", "content": "INITIAL DESIGN (Trace 13)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0016)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0019)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0012)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0010)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0014)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0018)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0025)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0023)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0020)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0029)]\n\nPerformance:\n Mass: 103.11 kg\n Factor of Safety: 0.75\n Max Deflection: 3.94e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 103.11456882970128, "fos_buckling": 0.7536862530168569, "fos_yielding": 2.2894772148671225, "deflection": 0.003942749963713231, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_96": { "node_id": "node_96", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0016)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0019)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0012)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0010)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0014)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0018)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0025)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0023)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0020)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0029)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0018)]\n\nPerformance:\n Mass: 109.28 kg\n Factor of Safety: 0.83\n Max Deflection: 3.69e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 109.27792772292959, "fos_buckling": 0.8299775951078443, "fos_yielding": 2.300801313518519, "deflection": 0.003694605753294199, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.001754)" }, "parent_node_id": "node_95", "improvement_over_parent": null }, "node_97": { "node_id": "node_97", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0011)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0032)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0016)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0024)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0035)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0021)]\n\nPerformance:\n Mass: 128.93 kg\n Factor of Safety: 0.97\n Max Deflection: 3.14e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 128.9323061208145, "fos_buckling": 0.9683121003136107, "fos_yielding": 2.7113739459579445, "deflection": 0.0031354011108070423, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.190)" }, "parent_node_id": "node_96", "improvement_over_parent": null }, "node_98": { "node_id": "node_98", "content": "MODIFICATION: Increase 5 thickness by 41%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0032)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0016)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0024)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0035)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0021)]\n\nPerformance:\n Mass: 129.62 kg\n Factor of Safety: 1.04\n Max Deflection: 3.12e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 129.61974654007412, "fos_buckling": 1.0447630003596111, "fos_yielding": 2.738500773663858, "deflection": 0.003123047749520236, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.410)" }, "parent_node_id": "node_97", "improvement_over_parent": null }, "node_99": { "node_id": "node_99", "content": "MODIFICATION: Increase 7 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0032)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0024)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0035)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0021)]\n\nPerformance:\n Mass: 130.96 kg\n Factor of Safety: 1.06\n Max Deflection: 3.11e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 130.95940474211775, "fos_buckling": 1.0599465100475163, "fos_yielding": 2.7429520695254737, "deflection": 0.003110934434672774, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.292)" }, "parent_node_id": "node_98", "improvement_over_parent": null }, "node_100": { "node_id": "node_100", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n\nPerformance:\n Mass: 158.70 kg\n Factor of Safety: 1.25\n Max Deflection: 2.57e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 158.69732849313652, "fos_buckling": 1.2527574854776915, "fos_yielding": 3.3183733116751055, "deflection": 0.002571677346363738, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.227)" }, "parent_node_id": "node_99", "improvement_over_parent": null }, "node_101": { "node_id": "node_101", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n\nPerformance:\n Mass: 203.67 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.66684469394872, "fos_buckling": 1.542096612534405, "fos_yielding": 4.247189725790989, "deflection": 0.002009521921277546, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.311)" }, "parent_node_id": "node_100", "improvement_over_parent": null }, "node_102": { "node_id": "node_102", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_101", "improvement_over_parent": null }, "node_103": { "node_id": "node_103", "content": "INITIAL DESIGN (Trace 14)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 157.16 kg\n Factor of Safety: 0.82\n Max Deflection: 5.18e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 157.15533333328796, "fos_buckling": 0.8225806920638238, "fos_yielding": 1.5945376385774892, "deflection": 5177792212204.307, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_104": { "node_id": "node_104", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n\nPerformance:\n Mass: 159.40 kg\n Factor of Safety: 0.28\n Max Deflection: 3.82e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 159.39748666527416, "fos_buckling": 0.28135126221493506, "fos_yielding": 2.020961897883458, "deflection": 0.0038196005520231037, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.001735)" }, "parent_node_id": "node_103", "improvement_over_parent": null }, "node_105": { "node_id": "node_105", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n\nPerformance:\n Mass: 181.60 kg\n Factor of Safety: 0.95\n Max Deflection: 2.64e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 181.60047134898795, "fos_buckling": 0.9503153178864976, "fos_yielding": 2.7337197498221535, "deflection": 0.002644181967311278, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.004709)" }, "parent_node_id": "node_104", "improvement_over_parent": null }, "node_106": { "node_id": "node_106", "content": "MODIFICATION: Increase 2 thickness by 57%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n\nPerformance:\n Mass: 184.26 kg\n Factor of Safety: 0.99\n Max Deflection: 2.51e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 184.2625813327056, "fos_buckling": 0.9924615902470002, "fos_yielding": 3.27891597343709, "deflection": 0.002511378875445766, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.575)" }, "parent_node_id": "node_105", "improvement_over_parent": null }, "node_107": { "node_id": "node_107", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n\nPerformance:\n Mass: 203.37 kg\n Factor of Safety: 1.39\n Max Deflection: 2.01e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 203.366300655499, "fos_buckling": 1.385724096604743, "fos_yielding": 4.253277857955878, "deflection": 0.00201136877926488, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.004368)" }, "parent_node_id": "node_106", "improvement_over_parent": null }, "node_108": { "node_id": "node_108", "content": "MODIFICATION: Increase 3 thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0046)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n\nPerformance:\n Mass: 205.16 kg\n Factor of Safety: 1.41\n Max Deflection: 1.98e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 205.1555372980785, "fos_buckling": 1.4087985928070736, "fos_yielding": 4.244738232203451, "deflection": 0.0019756945646453054, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.280)" }, "parent_node_id": "node_107", "improvement_over_parent": null }, "node_109": { "node_id": "node_109", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_108", "improvement_over_parent": null }, "node_110": { "node_id": "node_110", "content": "INITIAL DESIGN (Trace 15)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0048)]\n\nPerformance:\n Mass: 176.46 kg\n Factor of Safety: 1.20\n Max Deflection: 2.35e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 176.45514135563843, "fos_buckling": 1.2023604844978095, "fos_yielding": 3.304630760790475, "deflection": 0.002347066501449491, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_111": { "node_id": "node_111", "content": "MODIFICATION: Increase 5 thickness by 49%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0048)]\n\nPerformance:\n Mass: 177.51 kg\n Factor of Safety: 1.20\n Max Deflection: 2.34e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 177.5068948252907, "fos_buckling": 1.2049226304250327, "fos_yielding": 3.3116726973426993, "deflection": 0.0023361695207357, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.493)" }, "parent_node_id": "node_110", "improvement_over_parent": null }, "node_112": { "node_id": "node_112", "content": "MODIFICATION: Increase 4 thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0048)]\n\nPerformance:\n Mass: 178.79 kg\n Factor of Safety: 1.39\n Max Deflection: 2.29e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 178.79469589939305, "fos_buckling": 1.3855837693788038, "fos_yielding": 3.733987337336336, "deflection": 0.002285563597050915, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.276)" }, "parent_node_id": "node_111", "improvement_over_parent": null }, "node_113": { "node_id": "node_113", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 204.02 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.0176432512096, "fos_buckling": 1.544213579723351, "fos_yielding": 4.254297409669117, "deflection": 0.0020061703318573227, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.155)" }, "parent_node_id": "node_112", "improvement_over_parent": null }, "node_114": { "node_id": "node_114", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_113", "improvement_over_parent": null }, "node_115": { "node_id": "node_115", "content": "INITIAL DESIGN (Trace 16)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0016)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0032)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0023)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0026)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0038)]\n\nPerformance:\n Mass: 122.08 kg\n Factor of Safety: 0.25\n Max Deflection: 4.37e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 122.0828158338938, "fos_buckling": 0.2514034055999323, "fos_yielding": 1.6349217833176282, "deflection": 0.004371935047710913, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_116": { "node_id": "node_116", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0016)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0032)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0023)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0026)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0038)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n\nPerformance:\n Mass: 132.88 kg\n Factor of Safety: 0.69\n Max Deflection: 3.14e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 132.8808831783302, "fos_buckling": 0.69298226213011, "fos_yielding": 2.396206927155392, "deflection": 0.0031440284712305525, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.002655)" }, "parent_node_id": "node_115", "improvement_over_parent": null }, "node_117": { "node_id": "node_117", "content": "MODIFICATION: Increase 1 thickness by 52%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0032)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0023)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0026)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0038)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n\nPerformance:\n Mass: 134.64 kg\n Factor of Safety: 0.65\n Max Deflection: 3.02e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 134.64017230257943, "fos_buckling": 0.6501669553983447, "fos_yielding": 2.8125185402631447, "deflection": 0.003020700027661664, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.520)" }, "parent_node_id": "node_116", "improvement_over_parent": null }, "node_118": { "node_id": "node_118", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n\nPerformance:\n Mass: 151.59 kg\n Factor of Safety: 0.72\n Max Deflection: 2.69e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 151.59089177670947, "fos_buckling": 0.7198855835332006, "fos_yielding": 3.1621901791260805, "deflection": 0.002685688339597736, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.135)" }, "parent_node_id": "node_117", "improvement_over_parent": null }, "node_119": { "node_id": "node_119", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n\nPerformance:\n Mass: 194.26 kg\n Factor of Safety: 0.88\n Max Deflection: 2.10e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 194.26430423231608, "fos_buckling": 0.8836185260069719, "fos_yielding": 4.038186613714107, "deflection": 0.0021011528535199407, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.309)" }, "parent_node_id": "node_118", "improvement_over_parent": null }, "node_120": { "node_id": "node_120", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n\nPerformance:\n Mass: 203.91 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.9060691545991, "fos_buckling": 1.5435116631957055, "fos_yielding": 4.251940953073147, "deflection": 0.002007311300675326, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.003423)" }, "parent_node_id": "node_119", "improvement_over_parent": null }, "node_121": { "node_id": "node_121", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_120", "improvement_over_parent": null }, "node_122": { "node_id": "node_122", "content": "INITIAL DESIGN (Trace 17)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0032)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0046)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0031)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0031)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0042)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0035)]\n\nPerformance:\n Mass: 130.48 kg\n Factor of Safety: 0.06\n Max Deflection: 7.70e+13 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 130.47544139405846, "fos_buckling": 0.0644291756534792, "fos_yielding": 0.24169575212897748, "deflection": 77010164211615.6, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_123": { "node_id": "node_123", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 143.65 kg\n Factor of Safety: 0.03\n Max Deflection: 1.30e+14 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 143.65420985144385, "fos_buckling": 0.02733090117763283, "fos_yielding": 0.10422265871856898, "deflection": 129845538086746.27, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.111)" }, "parent_node_id": "node_122", "improvement_over_parent": null }, "node_124": { "node_id": "node_124", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 156.98 kg\n Factor of Safety: 0.32\n Max Deflection: 5.70e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 156.9777439230891, "fos_buckling": 0.31714774105507504, "fos_yielding": 1.7395767856136846, "deflection": 0.005701273499736575, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.004024)" }, "parent_node_id": "node_123", "improvement_over_parent": null }, "node_125": { "node_id": "node_125", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n\nPerformance:\n Mass: 172.56 kg\n Factor of Safety: 0.32\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": 172.55908055554164, "fos_buckling": 0.3166461505760409, "fos_yielding": 1.7368174495066784, "deflection": 0.005687788268919986, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.003945)" }, "parent_node_id": "node_124", "improvement_over_parent": null }, "node_126": { "node_id": "node_126", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n\nPerformance:\n Mass: 203.87 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.86863090047046, "fos_buckling": 1.5437728353329645, "fos_yielding": 4.250249438957056, "deflection": 0.002007543780939733, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.005592)" }, "parent_node_id": "node_125", "improvement_over_parent": null }, "node_127": { "node_id": "node_127", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_126", "improvement_over_parent": null }, "node_128": { "node_id": "node_128", "content": "INITIAL DESIGN (Trace 18)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0032)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0046)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0031)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0031)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0042)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n\nPerformance:\n Mass: 119.82 kg\n Factor of Safety: 0.52\n Max Deflection: 2.18e+13 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 119.81941974859603, "fos_buckling": 0.5188215832206915, "fos_yielding": 2.4663033685896116, "deflection": 21824795016798.906, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_129": { "node_id": "node_129", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0032)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0046)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0031)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0031)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0042)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M12: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n\nPerformance:\n Mass: 130.06 kg\n Factor of Safety: 0.52\n Max Deflection: 9.40e+12 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 130.05833301143468, "fos_buckling": 0.5199959856952847, "fos_yielding": 1.9413797699577116, "deflection": 9397823708686.258, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.003012)" }, "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0032)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0046)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0031)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0031)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0042)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M12: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0035)]\n\nPerformance:\n Mass: 144.03 kg\n Factor of Safety: 0.29\n Max Deflection: 1.31e-02 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 144.0277882557312, "fos_buckling": 0.29210002274877356, "fos_yielding": 1.5752392688902028, "deflection": 0.013123423247925276, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003518)" }, "parent_node_id": "node_129", "improvement_over_parent": null }, "node_131": { "node_id": "node_131", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0032)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0046)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0031)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0031)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0042)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M12: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0050)]\n\nPerformance:\n Mass: 172.33 kg\n Factor of Safety: 0.90\n Max Deflection: 2.69e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 172.33375754125169, "fos_buckling": 0.9040107612044744, "fos_yielding": 3.149447278041093, "deflection": 0.002691073854539542, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.005008)" }, "parent_node_id": "node_130", "improvement_over_parent": null }, "node_132": { "node_id": "node_132", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n\nPerformance:\n Mass: 190.53 kg\n Factor of Safety: 0.98\n Max Deflection: 2.44e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 190.52512439413658, "fos_buckling": 0.9828558053542499, "fos_yielding": 3.4792824049154656, "deflection": 0.0024360994386874515, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.116)" }, "parent_node_id": "node_131", "improvement_over_parent": null }, "node_133": { "node_id": "node_133", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 203.85 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.84865846578182, "fos_buckling": 1.543269920912675, "fos_yielding": 4.250757544128374, "deflection": 0.0020078056745427004, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.004024)" }, "parent_node_id": "node_132", "improvement_over_parent": null }, "node_134": { "node_id": "node_134", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_133", "improvement_over_parent": null }, "node_135": { "node_id": "node_135", "content": "INITIAL DESIGN (Trace 19)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0041)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0048)]\n\nPerformance:\n Mass: 168.18 kg\n Factor of Safety: 1.14\n Max Deflection: 2.43e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 168.1827608026834, "fos_buckling": 1.1363327701382682, "fos_yielding": 3.7138071010427507, "deflection": 0.002426344313558966, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_136": { "node_id": "node_136", "content": "MODIFICATION: Increase 3 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0041)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0048)]\n\nPerformance:\n Mass: 168.61 kg\n Factor of Safety: 1.14\n Max Deflection: 2.43e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 168.6129683965408, "fos_buckling": 1.1362670092925276, "fos_yielding": 3.71376079328915, "deflection": 0.0024263892046859814, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.229)" }, "parent_node_id": "node_135", "improvement_over_parent": null }, "node_137": { "node_id": "node_137", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 192.56 kg\n Factor of Safety: 1.27\n Max Deflection: 2.13e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 192.55510903369057, "fos_buckling": 1.2656348495133154, "fos_yielding": 4.234786937345662, "deflection": 0.002128227368369357, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.156)" }, "parent_node_id": "node_136", "improvement_over_parent": null }, "node_138": { "node_id": "node_138", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n\nPerformance:\n Mass: 203.88 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.87975103579743, "fos_buckling": 1.5433437852360015, "fos_yielding": 4.251371788477205, "deflection": 0.0020075296884426927, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.003363)" }, "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "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 20)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0042)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0038)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0045)]\n\nPerformance:\n Mass: 157.06 kg\n Factor of Safety: 0.81\n Max Deflection: 2.72e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 157.06192384156364, "fos_buckling": 0.8135575070085519, "fos_yielding": 2.8956310205099465, "deflection": 0.0027204321400774332, "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 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 190.39 kg\n Factor of Safety: 0.95\n Max Deflection: 2.25e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 190.38813857141162, "fos_buckling": 0.9527889087056497, "fos_yielding": 3.502692238832509, "deflection": 0.0022488671053424105, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.233)" }, "parent_node_id": "node_140", "improvement_over_parent": null }, "node_142": { "node_id": "node_142", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n\nPerformance:\n Mass: 200.03 kg\n Factor of Safety: 1.27\n Max Deflection: 2.18e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 200.02990349369463, "fos_buckling": 1.2707471577887821, "fos_yielding": 3.5004044548395488, "deflection": 0.002179894602883117, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.003423)" }, "parent_node_id": "node_141", "improvement_over_parent": null }, "node_143": { "node_id": "node_143", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n\nPerformance:\n Mass: 203.86 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.8623122604134, "fos_buckling": 1.5432525258351866, "fos_yielding": 4.2510486710636215, "deflection": 0.002007710976878522, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002592)" }, "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "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 21)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0014)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0011)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0028)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0020)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0033)]\n\nPerformance:\n Mass: 113.69 kg\n Factor of Safety: 0.84\n Max Deflection: 3.72e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 113.69284356116408, "fos_buckling": 0.8395774199084005, "fos_yielding": 1.8406004288359805, "deflection": 0.0037243837272136282, "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 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0017)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n\nPerformance:\n Mass: 143.96 kg\n Factor of Safety: 1.03\n Max Deflection: 2.95e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 143.96177909660207, "fos_buckling": 1.0316708029716202, "fos_yielding": 2.337290132001651, "deflection": 0.002945286787967921, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.285)" }, "parent_node_id": "node_145", "improvement_over_parent": null }, "node_147": { "node_id": "node_147", "content": "MODIFICATION: Increase 1 thickness by 60%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n\nPerformance:\n Mass: 146.12 kg\n Factor of Safety: 1.03\n Max Deflection: 2.80e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 146.1246280780863, "fos_buckling": 1.0314432898645942, "fos_yielding": 2.7317785148282536, "deflection": 0.002798411952835215, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.603)" }, "parent_node_id": "node_146", "improvement_over_parent": null }, "node_148": { "node_id": "node_148", "content": "MODIFICATION: Increase 3 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n\nPerformance:\n Mass: 146.53 kg\n Factor of Safety: 1.03\n Max Deflection: 2.79e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 146.5315341928816, "fos_buckling": 1.031429025534004, "fos_yielding": 2.7317407357353893, "deflection": 0.0027936610509990702, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.245)" }, "parent_node_id": "node_147", "improvement_over_parent": null }, "node_149": { "node_id": "node_149", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 188.45 kg\n Factor of Safety: 1.27\n Max Deflection: 2.18e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 188.44939337240172, "fos_buckling": 1.2719835652259197, "fos_yielding": 3.5039547078604443, "deflection": 0.0021781440206159013, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.314)" }, "parent_node_id": "node_148", "improvement_over_parent": null }, "node_150": { "node_id": "node_150", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 203.90 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.9002978861425, "fos_buckling": 1.5435155791840265, "fos_yielding": 4.251948553578371, "deflection": 0.002007372145968856, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003928)" }, "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "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 22)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 165.67 kg\n Factor of Safety: 0.32\n Max Deflection: 6.18e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 165.66634462344993, "fos_buckling": 0.31701785577742175, "fos_yielding": 1.7390162053413845, "deflection": 0.006184705187907097, "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 8 thickness by 56%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 170.18 kg\n Factor of Safety: 0.32\n Max Deflection: 5.71e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 170.18227924438318, "fos_buckling": 0.3168240696403375, "fos_yielding": 1.737950059104888, "deflection": 0.005710909808669427, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.562)" }, "parent_node_id": "node_152", "improvement_over_parent": null }, "node_154": { "node_id": "node_154", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n\nPerformance:\n Mass: 201.49 kg\n Factor of Safety: 1.49\n Max Deflection: 2.02e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 201.491829589312, "fos_buckling": 1.490950824534466, "fos_yielding": 4.24449277543547, "deflection": 0.002016184543181067, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.005592)" }, "parent_node_id": "node_153", "improvement_over_parent": null }, "node_155": { "node_id": "node_155", "content": "MODIFICATION: Increase 7 thickness by 37%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n\nPerformance:\n Mass: 203.94 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.94308269994886, "fos_buckling": 1.5438732497284042, "fos_yielding": 4.252607575575812, "deflection": 0.0020068914416336604, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.374)" }, "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "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 23)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0032)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0046)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0042)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0025)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0050)]\n\nPerformance:\n Mass: 167.83 kg\n Factor of Safety: 0.88\n Max Deflection: 2.49e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 167.82826549799415, "fos_buckling": 0.876635495771903, "fos_yielding": 3.1650918389931983, "deflection": 0.002488928068259384, "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: Increase 12 thickness by 43%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0032)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0046)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0042)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0050)]\n\nPerformance:\n Mass: 171.79 kg\n Factor of Safety: 0.88\n Max Deflection: 2.49e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 171.78972778177936, "fos_buckling": 0.8765085183938808, "fos_yielding": 3.1642409168519934, "deflection": 0.002489457931478928, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.431)" }, "parent_node_id": "node_157", "improvement_over_parent": null }, "node_159": { "node_id": "node_159", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0032)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0046)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0042)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0050)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0031)]\n\nPerformance:\n Mass: 180.49 kg\n Factor of Safety: 1.17\n Max Deflection: 2.41e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 180.48687462210492, "fos_buckling": 1.1682457976642269, "fos_yielding": 3.1623743735596292, "deflection": 0.002412874075395021, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.003058)" }, "parent_node_id": "node_158", "improvement_over_parent": null }, "node_160": { "node_id": "node_160", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n\nPerformance:\n Mass: 200.19 kg\n Factor of Safety: 1.27\n Max Deflection: 2.18e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 200.19427388779576, "fos_buckling": 1.271611726923185, "fos_yielding": 3.503318159213567, "deflection": 0.0021780892906071063, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.120)" }, "parent_node_id": "node_159", "improvement_over_parent": null }, "node_161": { "node_id": "node_161", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n\nPerformance:\n Mass: 204.03 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.02668265451453, "fos_buckling": 1.5442571363807513, "fos_yielding": 4.254462233899041, "deflection": 0.002006073456601546, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002592)" }, "parent_node_id": "node_160", "improvement_over_parent": null }, "node_162": { "node_id": "node_162", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_161", "improvement_over_parent": null }, "node_163": { "node_id": "node_163", "content": "INITIAL DESIGN (Trace 24)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0016)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0025)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0036)]\n\nPerformance:\n Mass: 132.55 kg\n Factor of Safety: 0.80\n Max Deflection: 3.53e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 132.54763576511803, "fos_buckling": 0.8032470822474508, "fos_yielding": 2.7281368015014236, "deflection": 0.0035253726847536853, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_164": { "node_id": "node_164", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0047)]\n\nPerformance:\n Mass: 169.44 kg\n Factor of Safety: 0.99\n Max Deflection: 2.76e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 169.44032546671787, "fos_buckling": 0.9886199561635552, "fos_yielding": 3.476589157864062, "deflection": 0.0027626713411611284, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.304)" }, "parent_node_id": "node_163", "improvement_over_parent": null }, "node_165": { "node_id": "node_165", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0047)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 182.76 kg\n Factor of Safety: 1.27\n Max Deflection: 2.24e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 182.7638595383631, "fos_buckling": 1.2671708598494176, "fos_yielding": 4.200429315068606, "deflection": 0.002243933394796526, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.004024)" }, "parent_node_id": "node_164", "improvement_over_parent": null }, "node_166": { "node_id": "node_166", "content": "MODIFICATION: Increase 9 thickness by 59%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0075)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0047)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 193.98 kg\n Factor of Safety: 1.31\n Max Deflection: 2.15e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 193.975611694478, "fos_buckling": 1.3074134072316161, "fos_yielding": 4.19902697469929, "deflection": 0.002147806260625868, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.590)" }, "parent_node_id": "node_165", "improvement_over_parent": null }, "node_167": { "node_id": "node_167", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0075)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0047)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n\nPerformance:\n Mass: 205.30 kg\n Factor of Safety: 1.29\n Max Deflection: 2.07e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 205.30025369658486, "fos_buckling": 1.2897222192376585, "fos_yielding": 4.208692879217005, "deflection": 0.0020726740301514703, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.003363)" }, "parent_node_id": "node_166", "improvement_over_parent": null }, "node_168": { "node_id": "node_168", "content": "MODIFICATION: Increase 15 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0075)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0047)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0040)]\n\nPerformance:\n Mass: 207.13 kg\n Factor of Safety: 1.29\n Max Deflection: 2.07e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 207.12994418996507, "fos_buckling": 1.2886886502830561, "fos_yielding": 4.209068799643366, "deflection": 0.0020686010028773097, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(15, thickness, 1.181)" }, "parent_node_id": "node_167", "improvement_over_parent": null }, "node_169": { "node_id": "node_169", "content": "MODIFICATION: Increase 14 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0075)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0047)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0048)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0040)]\n\nPerformance:\n Mass: 209.29 kg\n Factor of Safety: 1.24\n Max Deflection: 2.05e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 209.29423912030498, "fos_buckling": 1.2444327704449534, "fos_yielding": 4.23837709716426, "deflection": 0.002052616264670768, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.182)" }, "parent_node_id": "node_168", "improvement_over_parent": null }, "node_170": { "node_id": "node_170", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_169", "improvement_over_parent": null }, "node_171": { "node_id": "node_171", "content": "INITIAL DESIGN (Trace 25)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0016)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0030)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0047)]\n\nPerformance:\n Mass: 123.09 kg\n Factor of Safety: 0.26\n Max Deflection: 8.83e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 123.08750813483536, "fos_buckling": 0.26154831425482405, "fos_yielding": 0.7560599011800884, "deflection": 8831388198393.885, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_172": { "node_id": "node_172", "content": "MODIFICATION: Increase 4 thickness by 38%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0030)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0047)]\n\nPerformance:\n Mass: 123.93 kg\n Factor of Safety: 0.09\n Max Deflection: 1.54e+13 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 123.93389478550608, "fos_buckling": 0.09273343168182656, "fos_yielding": 0.6729774721575786, "deflection": 15437303251737.166, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.376)" }, "parent_node_id": "node_171", "improvement_over_parent": null }, "node_173": { "node_id": "node_173", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0030)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0047)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n\nPerformance:\n Mass: 142.92 kg\n Factor of Safety: 0.37\n Max Deflection: 8.85e+12 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 142.919549231869, "fos_buckling": 0.37093372672730623, "fos_yielding": 1.9882981759400522, "deflection": 8854259584102.076, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.003970)" }, "parent_node_id": "node_172", "improvement_over_parent": null }, "node_174": { "node_id": "node_174", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0030)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0047)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n\nPerformance:\n Mass: 149.10 kg\n Factor of Safety: 0.87\n Max Deflection: 3.13e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 149.10415288461337, "fos_buckling": 0.8699568509865717, "fos_yielding": 2.8095704183124734, "deflection": 0.0031273909455509724, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.003002)" }, "parent_node_id": "node_173", "improvement_over_parent": null }, "node_175": { "node_id": "node_175", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0030)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0047)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n\nPerformance:\n Mass: 165.44 kg\n Factor of Safety: 1.05\n Max Deflection: 2.41e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 165.44163422162384, "fos_buckling": 1.0501359723198704, "fos_yielding": 2.852578454323261, "deflection": 0.0024127616328566397, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.003683)" }, "parent_node_id": "node_174", "improvement_over_parent": null }, "node_176": { "node_id": "node_176", "content": "MODIFICATION: Increase 13 thickness by 38%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0030)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0047)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0055)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n\nPerformance:\n Mass: 171.85 kg\n Factor of Safety: 1.07\n Max Deflection: 2.36e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 171.85443504044622, "fos_buckling": 1.0715418835332533, "fos_yielding": 2.9107252493402522, "deflection": 0.002364322494750441, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.377)" }, "parent_node_id": "node_175", "improvement_over_parent": null }, "node_177": { "node_id": "node_177", "content": "MODIFICATION: Increase 6 thickness by 46%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0030)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0042)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0047)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0055)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n\nPerformance:\n Mass: 175.21 kg\n Factor of Safety: 1.09\n Max Deflection: 2.35e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 175.21458446007776, "fos_buckling": 1.0854781301294447, "fos_yielding": 2.948581524929603, "deflection": 0.002345884657097763, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.458)" }, "parent_node_id": "node_176", "improvement_over_parent": null }, "node_178": { "node_id": "node_178", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0035)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0050)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0065)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n\nPerformance:\n Mass: 204.73 kg\n Factor of Safety: 1.25\n Max Deflection: 2.01e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 204.7270469673049, "fos_buckling": 1.250040585858253, "fos_yielding": 3.4566493505970097, "deflection": 0.0020101956729121837, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.186)" }, "parent_node_id": "node_177", "improvement_over_parent": null }, "node_179": { "node_id": "node_179", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_178", "improvement_over_parent": null }, "node_180": { "node_id": "node_180", "content": "INITIAL DESIGN (Trace 26)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0019)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0047)]\n\nPerformance:\n Mass: 162.08 kg\n Factor of Safety: 1.10\n Max Deflection: 2.49e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 162.07677718321565, "fos_buckling": 1.0982048585447879, "fos_yielding": 3.4893509295109584, "deflection": 0.0024867316105196434, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_181": { "node_id": "node_181", "content": "MODIFICATION: Increase 5 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0019)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0047)]\n\nPerformance:\n Mass: 162.55 kg\n Factor of Safety: 1.09\n Max Deflection: 2.48e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 162.55385881183696, "fos_buckling": 1.0905356230809244, "fos_yielding": 3.5019368323293243, "deflection": 0.002483607999134973, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.186)" }, "parent_node_id": "node_180", "improvement_over_parent": null }, "node_182": { "node_id": "node_182", "content": "MODIFICATION: Increase 8 thickness by 44%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0019)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0047)]\n\nPerformance:\n Mass: 165.84 kg\n Factor of Safety: 1.20\n Max Deflection: 2.42e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 165.83915693508416, "fos_buckling": 1.1961985052565052, "fos_yielding": 3.5872348620848205, "deflection": 0.0024245816976903455, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.443)" }, "parent_node_id": "node_181", "improvement_over_parent": null }, "node_183": { "node_id": "node_183", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 195.83 kg\n Factor of Safety: 1.39\n Max Deflection: 2.06e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 195.83187664408106, "fos_buckling": 1.3886269322962717, "fos_yielding": 4.226840799832529, "deflection": 0.0020572064986059783, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.198)" }, "parent_node_id": "node_182", "improvement_over_parent": null }, "node_184": { "node_id": "node_184", "content": "MODIFICATION: Increase 7 thickness by 47%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 198.73 kg\n Factor of Safety: 1.33\n Max Deflection: 2.05e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 198.72939874857275, "fos_buckling": 1.3328998031282313, "fos_yielding": 4.234862099533954, "deflection": 0.0020487198736131155, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.471)" }, "parent_node_id": "node_183", "improvement_over_parent": null }, "node_185": { "node_id": "node_185", "content": "MODIFICATION: Increase 12 thickness by 41%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.94 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.94399194358382, "fos_buckling": 1.543755595626763, "fos_yielding": 4.252771657604614, "deflection": 0.0020068939791356225, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.412)" }, "parent_node_id": "node_184", "improvement_over_parent": null }, "node_186": { "node_id": "node_186", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_185", "improvement_over_parent": null }, "node_187": { "node_id": "node_187", "content": "INITIAL DESIGN (Trace 27)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0047)]\n\nPerformance:\n Mass: 134.94 kg\n Factor of Safety: 0.30\n Max Deflection: 3.69e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 134.93926384523905, "fos_buckling": 0.30140666414642736, "fos_yielding": 2.1895570345394777, "deflection": 0.0036934223515756323, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_188": { "node_id": "node_188", "content": "MODIFICATION: Increase 5 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0047)]\n\nPerformance:\n Mass: 135.46 kg\n Factor of Safety: 0.30\n Max Deflection: 3.69e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 135.45876610062365, "fos_buckling": 0.30139607490855963, "fos_yielding": 2.189480109431238, "deflection": 0.0036935428480328997, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.202)" }, "parent_node_id": "node_187", "improvement_over_parent": null }, "node_189": { "node_id": "node_189", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 157.43 kg\n Factor of Safety: 0.34\n Max Deflection: 3.18e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 157.42518327976413, "fos_buckling": 0.3408488342137255, "fos_yielding": 2.538370463557884, "deflection": 0.0031811392425855184, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.178)" }, "parent_node_id": "node_188", "improvement_over_parent": null }, "node_190": { "node_id": "node_190", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 170.75 kg\n Factor of Safety: 0.34\n Max Deflection: 3.86e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 170.74871735140937, "fos_buckling": 0.3402371150791408, "fos_yielding": 2.5338148669785236, "deflection": 0.0038553772341249977, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.004024)" }, "parent_node_id": "node_189", "improvement_over_parent": null }, "node_191": { "node_id": "node_191", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n\nPerformance:\n Mass: 180.39 kg\n Factor of Safety: 0.34\n Max Deflection: 3.21e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 180.39048227369238, "fos_buckling": 0.33935563517606576, "fos_yielding": 2.5272503071925203, "deflection": 0.0032089627104789666, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.003423)" }, "parent_node_id": "node_190", "improvement_over_parent": null }, "node_192": { "node_id": "node_192", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n\nPerformance:\n Mass: 202.59 kg\n Factor of Safety: 1.57\n Max Deflection: 2.06e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 202.59346695740618, "fos_buckling": 1.5660309481062913, "fos_yielding": 3.5315985668219385, "deflection": 0.002057439836348718, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.004709)" }, "parent_node_id": "node_191", "improvement_over_parent": null }, "node_193": { "node_id": "node_193", "content": "MODIFICATION: Increase 2 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n\nPerformance:\n Mass: 204.00 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.00099759851406, "fos_buckling": 1.5441167242344753, "fos_yielding": 4.255870196392885, "deflection": 0.0020062184549932264, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.244)" }, "parent_node_id": "node_192", "improvement_over_parent": null }, "node_194": { "node_id": "node_194", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_193", "improvement_over_parent": null }, "node_195": { "node_id": "node_195", "content": "INITIAL DESIGN (Trace 28)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0031)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0026)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0037)]\n\nPerformance:\n Mass: 118.88 kg\n Factor of Safety: 0.69\n Max Deflection: 3.88e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 118.88227195745537, "fos_buckling": 0.6916244743052437, "fos_yielding": 2.3858872632260923, "deflection": 0.003875713037142177, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_196": { "node_id": "node_196", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0031)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0026)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0037)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0022)]\n\nPerformance:\n Mass: 126.56 kg\n Factor of Safety: 0.69\n Max Deflection: 3.58e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 126.55622858352338, "fos_buckling": 0.6919910936495828, "fos_yielding": 2.385263820036891, "deflection": 0.003583486127651979, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.002210)" }, "parent_node_id": "node_195", "improvement_over_parent": null }, "node_197": { "node_id": "node_197", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0031)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0026)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0037)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0022)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0017)]\n\nPerformance:\n Mass: 129.15 kg\n Factor of Safety: 0.70\n Max Deflection: 3.58e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 129.15272506238483, "fos_buckling": 0.704140033220653, "fos_yielding": 2.364526040337564, "deflection": 0.0035839609322710826, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.001703)" }, "parent_node_id": "node_196", "improvement_over_parent": null }, "node_198": { "node_id": "node_198", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0031)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0026)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0037)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0022)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0017)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n\nPerformance:\n Mass: 138.18 kg\n Factor of Safety: 1.11\n Max Deflection: 2.95e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 138.18000981331792, "fos_buckling": 1.1111675926509894, "fos_yielding": 2.892835082507607, "deflection": 0.0029498116209518066, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.002644)" }, "parent_node_id": "node_197", "improvement_over_parent": null }, "node_199": { "node_id": "node_199", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0038)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0045)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n\nPerformance:\n Mass: 165.42 kg\n Factor of Safety: 1.30\n Max Deflection: 2.47e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 165.41740898131388, "fos_buckling": 1.2977888070260968, "fos_yielding": 3.4573819578089924, "deflection": 0.0024683266099785493, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.212)" }, "parent_node_id": "node_198", "improvement_over_parent": null }, "node_200": { "node_id": "node_200", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 203.84 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.8358423853597, "fos_buckling": 1.5430977759000095, "fos_yielding": 4.2505386623657175, "deflection": 0.002007941292711593, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.255)" }, "parent_node_id": "node_199", "improvement_over_parent": null }, "node_201": { "node_id": "node_201", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_200", "improvement_over_parent": null }, "node_202": { "node_id": "node_202", "content": "INITIAL DESIGN (Trace 29)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0014)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0020)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0029)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0027)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0019)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0025)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0023)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0032)]\n\nPerformance:\n Mass: 106.67 kg\n Factor of Safety: 0.61\n Max Deflection: 4.73e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 106.66515283281234, "fos_buckling": 0.6122124302982207, "fos_yielding": 1.3680446912932147, "deflection": 0.004726631174493398, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_203": { "node_id": "node_203", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0014)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0020)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0029)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0027)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0019)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0025)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0023)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0032)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n\nPerformance:\n Mass: 115.95 kg\n Factor of Safety: 0.82\n Max Deflection: 3.99e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 115.94578355359161, "fos_buckling": 0.8164416020400761, "fos_yielding": 1.875357662757995, "deflection": 0.0039936385738624375, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.002262)" }, "parent_node_id": "node_202", "improvement_over_parent": null }, "node_204": { "node_id": "node_204", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0018)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0025)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0042)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n\nPerformance:\n Mass: 150.40 kg\n Factor of Safety: 1.02\n Max Deflection: 3.08e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 150.40060228949426, "fos_buckling": 1.0232497445633641, "fos_yielding": 2.4398245601675095, "deflection": 0.0030844089372916886, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.318)" }, "parent_node_id": "node_203", "improvement_over_parent": null }, "node_205": { "node_id": "node_205", "content": "MODIFICATION: Increase 1 thickness by 56%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0025)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0042)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n\nPerformance:\n Mass: 152.45 kg\n Factor of Safety: 1.02\n Max Deflection: 2.96e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 152.4510282961872, "fos_buckling": 1.0228257073524385, "fos_yielding": 2.713914711676776, "deflection": 0.0029565154722126976, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.560)" }, "parent_node_id": "node_204", "improvement_over_parent": null }, "node_206": { "node_id": "node_206", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0032)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0046)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0031)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0031)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0042)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0035)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0050)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n\nPerformance:\n Mass: 179.10 kg\n Factor of Safety: 1.17\n Max Deflection: 2.52e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 179.09927630403118, "fos_buckling": 1.169807458324895, "fos_yielding": 3.182906437310996, "deflection": 0.002521298603909882, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.190)" }, "parent_node_id": "node_205", "improvement_over_parent": null }, "node_207": { "node_id": "node_207", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0032)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0046)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0031)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0031)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0042)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0035)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0050)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n\nPerformance:\n Mass: 181.65 kg\n Factor of Safety: 1.17\n Max Deflection: 2.40e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 181.652877948616, "fos_buckling": 1.1745113768282973, "fos_yielding": 3.182630819784882, "deflection": 0.002397544690165111, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.001997)" }, "parent_node_id": "node_206", "improvement_over_parent": null }, "node_208": { "node_id": "node_208", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0032)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0046)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0031)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0031)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0042)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0035)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0050)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n\nPerformance:\n Mass: 185.13 kg\n Factor of Safety: 1.43\n Max Deflection: 2.21e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 185.13093833014642, "fos_buckling": 1.4263036994721356, "fos_yielding": 3.864924769457411, "deflection": 0.0022081865382878292, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002331)" }, "parent_node_id": "node_207", "improvement_over_parent": null }, "node_209": { "node_id": "node_209", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n\nPerformance:\n Mass: 204.00 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.997046916631, "fos_buckling": 1.5441119995083081, "fos_yielding": 4.253962797388478, "deflection": 0.002006342816925123, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.112)" }, "parent_node_id": "node_208", "improvement_over_parent": null }, "node_210": { "node_id": "node_210", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_209", "improvement_over_parent": null }, "node_211": { "node_id": "node_211", "content": "INITIAL DESIGN (Trace 30)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0013)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0035)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0032)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0023)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0038)]\n\nPerformance:\n Mass: 117.51 kg\n Factor of Safety: 0.70\n Max Deflection: 3.79e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 117.51314532353206, "fos_buckling": 0.7020691655278966, "fos_yielding": 2.441905139700025, "deflection": 0.003792358826062058, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_212": { "node_id": "node_212", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0017)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0048)]\n\nPerformance:\n Mass: 146.53 kg\n Factor of Safety: 0.85\n Max Deflection: 3.05e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 146.5318883327484, "fos_buckling": 0.849624100555647, "fos_yielding": 3.0394079703895116, "deflection": 0.003047985311606326, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.267)" }, "parent_node_id": "node_211", "improvement_over_parent": null }, "node_213": { "node_id": "node_213", "content": "MODIFICATION: Increase 4 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0048)]\n\nPerformance:\n Mass: 147.28 kg\n Factor of Safety: 0.85\n Max Deflection: 3.05e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 147.28234484128336, "fos_buckling": 0.8495803856897437, "fos_yielding": 3.039252862539513, "deflection": 0.0030481405669931213, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.316)" }, "parent_node_id": "node_212", "improvement_over_parent": null }, "node_214": { "node_id": "node_214", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 170.07 kg\n Factor of Safety: 0.96\n Max Deflection: 2.64e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 170.07405672262175, "fos_buckling": 0.9578068182052104, "fos_yielding": 3.5047899510020293, "deflection": 0.0026440355998282087, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.170)" }, "parent_node_id": "node_213", "improvement_over_parent": null }, "node_215": { "node_id": "node_215", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 185.52 kg\n Factor of Safety: 0.96\n Max Deflection: 2.40e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 185.52496123636254, "fos_buckling": 0.9567933640274979, "fos_yielding": 3.501116388325375, "deflection": 0.0024024756168267536, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003928)" }, "parent_node_id": "node_214", "improvement_over_parent": null }, "node_216": { "node_id": "node_216", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n\nPerformance:\n Mass: 201.11 kg\n Factor of Safety: 1.26\n Max Deflection: 2.13e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 201.1062978688151, "fos_buckling": 1.2643885296804918, "fos_yielding": 4.234392662390534, "deflection": 0.0021289570863563837, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.003945)" }, "parent_node_id": "node_215", "improvement_over_parent": null }, "node_217": { "node_id": "node_217", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n\nPerformance:\n Mass: 203.92 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.92052975793513, "fos_buckling": 1.5435970169092934, "fos_yielding": 4.252219586889701, "deflection": 0.0020071398239653905, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.002221)" }, "parent_node_id": "node_216", "improvement_over_parent": null }, "node_218": { "node_id": "node_218", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_217", "improvement_over_parent": null }, "node_219": { "node_id": "node_219", "content": "INITIAL DESIGN (Trace 31)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0038)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0025)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0022)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0029)]\n\nPerformance:\n Mass: 109.52 kg\n Factor of Safety: 0.28\n Max Deflection: 7.17e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 109.51541423807242, "fos_buckling": 0.2790181671668991, "fos_yielding": 1.884400914478468, "deflection": 7171246690167.58, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_220": { "node_id": "node_220", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0038)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0025)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0022)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0029)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0041)]\n\nPerformance:\n Mass: 132.99 kg\n Factor of Safety: 0.89\n Max Deflection: 3.63e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 132.99057680319862, "fos_buckling": 0.8896251873316489, "fos_yielding": 2.4667013990760633, "deflection": 0.0036290504895898582, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.004093)" }, "parent_node_id": "node_219", "improvement_over_parent": null }, "node_221": { "node_id": "node_221", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0038)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0025)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0022)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0029)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0041)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0032)]\n\nPerformance:\n Mass: 147.31 kg\n Factor of Safety: 1.00\n Max Deflection: 2.93e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 147.31363763044664, "fos_buckling": 0.9996084603033295, "fos_yielding": 2.6349418691608792, "deflection": 0.002925138827680958, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.003197)" }, "parent_node_id": "node_220", "improvement_over_parent": null }, "node_222": { "node_id": "node_222", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0032)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0046)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0042)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0050)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n\nPerformance:\n Mass: 176.79 kg\n Factor of Safety: 1.17\n Max Deflection: 2.44e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 176.79289895864406, "fos_buckling": 1.1662136307034634, "fos_yielding": 3.1556947113674645, "deflection": 0.0024421295292338515, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.217)" }, "parent_node_id": "node_221", "improvement_over_parent": null }, "node_223": { "node_id": "node_223", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n\nPerformance:\n Mass: 196.45 kg\n Factor of Safety: 1.27\n Max Deflection: 2.20e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 196.45178529709162, "fos_buckling": 1.27120654270376, "fos_yielding": 3.501746569270306, "deflection": 0.0022005999850258735, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.122)" }, "parent_node_id": "node_222", "improvement_over_parent": null }, "node_224": { "node_id": "node_224", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n\nPerformance:\n Mass: 200.28 kg\n Factor of Safety: 1.52\n Max Deflection: 2.02e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 200.2841940638104, "fos_buckling": 1.5150462892961643, "fos_yielding": 4.265615512130294, "deflection": 0.0020233746752001103, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002592)" }, "parent_node_id": "node_223", "improvement_over_parent": null }, "node_225": { "node_id": "node_225", "content": "MODIFICATION: Increase 13 thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0074)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n\nPerformance:\n Mass: 209.26 kg\n Factor of Safety: 1.53\n Max Deflection: 1.90e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 209.25683193739138, "fos_buckling": 1.5340586019006246, "fos_yielding": 4.121696166414342, "deflection": 0.0018984291363096683, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.326)" }, "parent_node_id": "node_224", "improvement_over_parent": null }, "node_226": { "node_id": "node_226", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_225", "improvement_over_parent": null }, "node_227": { "node_id": "node_227", "content": "INITIAL DESIGN (Trace 32)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0038)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0045)]\n\nPerformance:\n Mass: 163.33 kg\n Factor of Safety: 1.07\n Max Deflection: 2.66e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 163.3333676158025, "fos_buckling": 1.0744349171980163, "fos_yielding": 2.864914631725348, "deflection": 0.0026633615570050176, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_228": { "node_id": "node_228", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0032)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0046)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0031)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0042)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0050)]\n\nPerformance:\n Mass: 180.47 kg\n Factor of Safety: 1.17\n Max Deflection: 2.41e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 180.46816957955963, "fos_buckling": 1.1681427224103105, "fos_yielding": 3.162041575080685, "deflection": 0.0024131294114783826, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.114)" }, "parent_node_id": "node_227", "improvement_over_parent": null }, "node_229": { "node_id": "node_229", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 200.17 kg\n Factor of Safety: 1.27\n Max Deflection: 2.18e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 200.17376386379692, "fos_buckling": 1.2715037311834596, "fos_yielding": 3.50295414167707, "deflection": 0.0021783168596228863, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.120)" }, "parent_node_id": "node_228", "improvement_over_parent": null }, "node_230": { "node_id": "node_230", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n\nPerformance:\n Mass: 204.01 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.0061726305157, "fos_buckling": 1.544136829791352, "fos_yielding": 4.254050043722026, "deflection": 0.002006277679264676, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002592)" }, "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "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 33)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0018)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n\nPerformance:\n Mass: 119.77 kg\n Factor of Safety: 0.10\n Max Deflection: 1.47e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 119.77371043908093, "fos_buckling": 0.10216210714097508, "fos_yielding": 0.6258161380445926, "deflection": 1472854120913.1047, "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 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0018)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M12: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n\nPerformance:\n Mass: 131.29 kg\n Factor of Safety: 0.15\n Max Deflection: 1.78e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 131.2891136110044, "fos_buckling": 0.1516284086861183, "fos_yielding": 0.9505767203051813, "deflection": 0.017831223515180843, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.003432)" }, "parent_node_id": "node_232", "improvement_over_parent": null }, "node_234": { "node_id": "node_234", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0018)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M12: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n\nPerformance:\n Mass: 137.54 kg\n Factor of Safety: 0.28\n Max Deflection: 6.97e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 137.5384090817989, "fos_buckling": 0.28119137953911155, "fos_yielding": 1.5050450356171152, "deflection": 0.0069714326319784, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.003036)" }, "parent_node_id": "node_233", "improvement_over_parent": null }, "node_235": { "node_id": "node_235", "content": "MODIFICATION: Increase 10 thickness by 56%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0018)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0052)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M12: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n\nPerformance:\n Mass: 144.12 kg\n Factor of Safety: 0.28\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": 144.12248033000185, "fos_buckling": 0.28100310687966595, "fos_yielding": 1.5040347651861294, "deflection": 0.006938156677240393, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.555)" }, "parent_node_id": "node_234", "improvement_over_parent": null }, "node_236": { "node_id": "node_236", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0022)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0061)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M12: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n\nPerformance:\n Mass: 166.53 kg\n Factor of Safety: 0.32\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": 166.53308603824897, "fos_buckling": 0.3166795230542702, "fos_yielding": 1.7370305466724874, "deflection": 0.006006515515518569, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.172)" }, "parent_node_id": "node_235", "improvement_over_parent": null }, "node_237": { "node_id": "node_237", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0022)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0061)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M12: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n\nPerformance:\n Mass: 176.17 kg\n Factor of Safety: 0.32\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": 176.17485096053198, "fos_buckling": 0.31647303389769504, "fos_yielding": 1.7358946014562562, "deflection": 0.005713476960742278, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.003423)" }, "parent_node_id": "node_236", "improvement_over_parent": null }, "node_238": { "node_id": "node_238", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0022)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0061)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M12: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n\nPerformance:\n Mass: 207.48 kg\n Factor of Safety: 1.52\n Max Deflection: 2.00e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 207.4844013054608, "fos_buckling": 1.5221160571511667, "fos_yielding": 4.228505747067592, "deflection": 0.0020047331938485586, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.005592)" }, "parent_node_id": "node_237", "improvement_over_parent": null }, "node_239": { "node_id": "node_239", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_238", "improvement_over_parent": null }, "node_240": { "node_id": "node_240", "content": "INITIAL DESIGN (Trace 34)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 183.99 kg\n Factor of Safety: 1.08\n Max Deflection: 2.22e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 183.99097801296818, "fos_buckling": 1.075496174367266, "fos_yielding": 3.2814219685205837, "deflection": 0.0022155795410535952, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_241": { "node_id": "node_241", "content": "MODIFICATION: Increase 12 thickness by 65%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 191.12 kg\n Factor of Safety: 1.24\n Max Deflection: 2.13e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 191.120104722963, "fos_buckling": 1.2417616891027121, "fos_yielding": 3.4503301435881593, "deflection": 0.0021343763813073497, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.653)" }, "parent_node_id": "node_240", "improvement_over_parent": null }, "node_242": { "node_id": "node_242", "content": "MODIFICATION: Increase 13 thickness by 51%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 196.05 kg\n Factor of Safety: 1.22\n Max Deflection: 2.11e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 196.05228265335705, "fos_buckling": 1.2156049791030838, "fos_yielding": 3.345406713385008, "deflection": 0.0021148325671692093, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.508)" }, "parent_node_id": "node_241", "improvement_over_parent": null }, "node_243": { "node_id": "node_243", "content": "MODIFICATION: Increase 4 thickness by 46%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 198.18 kg\n Factor of Safety: 1.25\n Max Deflection: 2.04e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 198.1755822492937, "fos_buckling": 1.250872587753053, "fos_yielding": 3.475645474641063, "deflection": 0.0020422897621845924, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.456)" }, "parent_node_id": "node_242", "improvement_over_parent": null }, "node_244": { "node_id": "node_244", "content": "MODIFICATION: Increase 6 thickness by 40%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.94 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.9364105370558, "fos_buckling": 1.5436930737911418, "fos_yielding": 4.252551667142411, "deflection": 0.002006994392685051, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.399)" }, "parent_node_id": "node_243", "improvement_over_parent": null }, "node_245": { "node_id": "node_245", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_244", "improvement_over_parent": null }, "node_246": { "node_id": "node_246", "content": "INITIAL DESIGN (Trace 35)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n\nPerformance:\n Mass: 145.42 kg\n Factor of Safety: 0.81\n Max Deflection: 3.18e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 145.4193108712349, "fos_buckling": 0.8119527503816301, "fos_yielding": 2.5926917065270163, "deflection": 0.003177622085490562, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_247": { "node_id": "node_247", "content": "MODIFICATION: Increase 3 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n\nPerformance:\n Mass: 145.81 kg\n Factor of Safety: 0.81\n Max Deflection: 3.18e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 145.81108152378027, "fos_buckling": 0.8119638270339549, "fos_yielding": 2.59265716487819, "deflection": 0.003176080988523227, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.230)" }, "parent_node_id": "node_246", "improvement_over_parent": null }, "node_248": { "node_id": "node_248", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n\nPerformance:\n Mass: 160.88 kg\n Factor of Safety: 1.27\n Max Deflection: 2.54e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 160.88108142008625, "fos_buckling": 1.267447667866556, "fos_yielding": 3.363509832077379, "deflection": 0.002537190529279544, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.003376)" }, "parent_node_id": "node_247", "improvement_over_parent": null }, "node_249": { "node_id": "node_249", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n\nPerformance:\n Mass: 203.97 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.96643305022604, "fos_buckling": 1.543903014714325, "fos_yielding": 4.253257064776128, "deflection": 0.0020066636369424936, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.294)" }, "parent_node_id": "node_248", "improvement_over_parent": null }, "node_250": { "node_id": "node_250", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_249", "improvement_over_parent": null }, "node_251": { "node_id": "node_251", "content": "INITIAL DESIGN (Trace 36)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0038)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0045)]\n\nPerformance:\n Mass: 132.69 kg\n Factor of Safety: 0.54\n Max Deflection: 6.25e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 132.687974912466, "fos_buckling": 0.5358026734388912, "fos_yielding": 1.4238542142222546, "deflection": 0.006251415365413643, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_252": { "node_id": "node_252", "content": "MODIFICATION: Increase 11 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0038)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0045)]\n\nPerformance:\n Mass: 135.21 kg\n Factor of Safety: 0.54\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": 135.21013755644785, "fos_buckling": 0.5360829005062796, "fos_yielding": 1.4238542142222548, "deflection": 0.0061307775647377796, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.264)" }, "parent_node_id": "node_251", "improvement_over_parent": null }, "node_253": { "node_id": "node_253", "content": "MODIFICATION: Increase 2 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0038)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0045)]\n\nPerformance:\n Mass: 136.90 kg\n Factor of Safety: 0.54\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": 136.8982928275335, "fos_buckling": 0.5362080377446725, "fos_yielding": 1.9385505430896248, "deflection": 0.005790822248432227, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.389)" }, "parent_node_id": "node_252", "improvement_over_parent": null }, "node_254": { "node_id": "node_254", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0038)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0045)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n\nPerformance:\n Mass: 152.60 kg\n Factor of Safety: 0.86\n Max Deflection: 3.02e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 152.60211395902527, "fos_buckling": 0.8594363562713581, "fos_yielding": 2.824358802540947, "deflection": 0.0030177275679472335, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.003529)" }, "parent_node_id": "node_253", "improvement_over_parent": null }, "node_255": { "node_id": "node_255", "content": "MODIFICATION: Increase 7 thickness by 51%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0038)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0045)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n\nPerformance:\n Mass: 155.14 kg\n Factor of Safety: 0.83\n Max Deflection: 2.96e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 155.13708648481884, "fos_buckling": 0.8333520388125064, "fos_yielding": 2.8654829767644427, "deflection": 0.0029579315268916527, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.506)" }, "parent_node_id": "node_254", "improvement_over_parent": null }, "node_256": { "node_id": "node_256", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0038)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0045)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n\nPerformance:\n Mass: 166.09 kg\n Factor of Safety: 1.30\n Max Deflection: 2.45e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 166.0891991910776, "fos_buckling": 1.298039622910999, "fos_yielding": 3.4641922524455357, "deflection": 0.002446947867885816, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.003251)" }, "parent_node_id": "node_255", "improvement_over_parent": null }, "node_257": { "node_id": "node_257", "content": "MODIFICATION: Increase 9 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0048)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0045)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n\nPerformance:\n Mass: 170.45 kg\n Factor of Safety: 1.30\n Max Deflection: 2.41e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 170.4512932636133, "fos_buckling": 1.297161425558239, "fos_yielding": 3.461848530103129, "deflection": 0.0024119576136424075, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.263)" }, "parent_node_id": "node_256", "improvement_over_parent": null }, "node_258": { "node_id": "node_258", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0059)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 207.28 kg\n Factor of Safety: 1.53\n Max Deflection: 1.99e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 207.28479971450605, "fos_buckling": 1.5260856119180894, "fos_yielding": 4.203653263582927, "deflection": 0.001987360683786743, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.238)" }, "parent_node_id": "node_257", "improvement_over_parent": null }, "node_259": { "node_id": "node_259", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_258", "improvement_over_parent": null }, "node_260": { "node_id": "node_260", "content": "INITIAL DESIGN (Trace 37)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0016)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0024)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nPerformance:\n Mass: 136.52 kg\n Factor of Safety: 0.20\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": 136.51560571202413, "fos_buckling": 0.20089586450910518, "fos_yielding": 1.0716644303236194, "deflection": 0.010757015569285216, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_261": { "node_id": "node_261", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0016)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0024)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n\nPerformance:\n Mass: 142.33 kg\n Factor of Safety: 0.48\n Max Deflection: 3.41e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 142.32686675262636, "fos_buckling": 0.4770256296161824, "fos_yielding": 2.5446586511949945, "deflection": 0.003409526738986148, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.002807)" }, "parent_node_id": "node_260", "improvement_over_parent": null }, "node_262": { "node_id": "node_262", "content": "MODIFICATION: Increase 11 thickness by 52%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0016)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0047)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0024)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n\nPerformance:\n Mass: 148.09 kg\n Factor of Safety: 0.48\n Max Deflection: 3.41e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 148.08757251598504, "fos_buckling": 0.48133247222436587, "fos_yielding": 2.5676331909719603, "deflection": 0.003406734142695666, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.515)" }, "parent_node_id": "node_261", "improvement_over_parent": null }, "node_263": { "node_id": "node_263", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0046)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0042)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0018)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0053)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0027)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0050)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0032)]\n\nPerformance:\n Mass: 165.63 kg\n Factor of Safety: 0.54\n Max Deflection: 3.04e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 165.63323964278777, "fos_buckling": 0.5366079252941641, "fos_yielding": 2.884617915631332, "deflection": 0.003044078230099426, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.129)" }, "parent_node_id": "node_262", "improvement_over_parent": null }, "node_264": { "node_id": "node_264", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0046)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0042)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0018)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0053)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0027)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0050)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0032)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n\nPerformance:\n Mass: 177.60 kg\n Factor of Safety: 1.06\n Max Deflection: 2.32e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 177.6025148524556, "fos_buckling": 1.0621147466761764, "fos_yielding": 3.71311284217277, "deflection": 0.002321691345172069, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.003579)" }, "parent_node_id": "node_263", "improvement_over_parent": null }, "node_265": { "node_id": "node_265", "content": "MODIFICATION: Increase 12 thickness by 45%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0046)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0042)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0018)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0053)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0050)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0032)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n\nPerformance:\n Mass: 182.06 kg\n Factor of Safety: 1.05\n Max Deflection: 2.30e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 182.06379896274, "fos_buckling": 1.0504117549718912, "fos_yielding": 3.741652377417947, "deflection": 0.0023047401441554593, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.451)" }, "parent_node_id": "node_264", "improvement_over_parent": null }, "node_266": { "node_id": "node_266", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0020)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0060)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0044)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 202.67 kg\n Factor of Safety: 1.16\n Max Deflection: 2.07e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 202.66848477894496, "fos_buckling": 1.162410873972062, "fos_yielding": 4.164531257470196, "deflection": 0.002071648942052748, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.125)" }, "parent_node_id": "node_265", "improvement_over_parent": null }, "node_267": { "node_id": "node_267", "content": "MODIFICATION: Increase 14 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0020)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0060)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0044)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0047)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 204.61 kg\n Factor of Safety: 1.22\n Max Deflection: 2.02e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 204.61453892438308, "fos_buckling": 1.2186872916742908, "fos_yielding": 4.207282294286616, "deflection": 0.0020238881473741816, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.305)" }, "parent_node_id": "node_266", "improvement_over_parent": null }, "node_268": { "node_id": "node_268", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_267", "improvement_over_parent": null }, "node_269": { "node_id": "node_269", "content": "INITIAL DESIGN (Trace 38)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0026)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0019)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0038)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0035)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0020)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, 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_270": { "node_id": "node_270", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0026)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0019)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0038)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0035)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0020)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0041)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0025)]\n\nPerformance:\n Mass: 133.56 kg\n Factor of Safety: 0.80\n Max Deflection: 3.39e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 133.556764317542, "fos_buckling": 0.7979027864425996, "fos_yielding": 2.476026927748559, "deflection": 0.0033946596572796595, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.002472)" }, "parent_node_id": "node_269", "improvement_over_parent": null }, "node_271": { "node_id": "node_271", "content": "MODIFICATION: Increase 12 thickness by 46%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0026)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0019)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0038)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0035)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0020)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0060)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0025)]\n\nPerformance:\n Mass: 143.28 kg\n Factor of Safety: 0.85\n Max Deflection: 3.14e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 143.28346821853648, "fos_buckling": 0.8455908288225444, "fos_yielding": 2.4743888681464696, "deflection": 0.0031412161860434537, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.456)" }, "parent_node_id": "node_270", "improvement_over_parent": null }, "node_272": { "node_id": "node_272", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0045)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0041)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0024)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0072)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n\nPerformance:\n Mass: 169.22 kg\n Factor of Safety: 0.98\n Max Deflection: 2.66e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 169.21867946856904, "fos_buckling": 0.9756148847758948, "fos_yielding": 2.9214624199084103, "deflection": 0.0026634056556837545, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.198)" }, "parent_node_id": "node_271", "improvement_over_parent": null }, "node_273": { "node_id": "node_273", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0045)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0041)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0024)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0072)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n\nPerformance:\n Mass: 171.72 kg\n Factor of Safety: 0.98\n Max Deflection: 2.62e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 171.72401296254125, "fos_buckling": 0.975716725664699, "fos_yielding": 2.921213916907101, "deflection": 0.0026170670473520483, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.001956)" }, "parent_node_id": "node_272", "improvement_over_parent": null }, "node_274": { "node_id": "node_274", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0045)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0041)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0024)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0072)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n\nPerformance:\n Mass: 188.73 kg\n Factor of Safety: 1.44\n Max Deflection: 2.08e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 188.7274830540614, "fos_buckling": 1.4351758401982977, "fos_yielding": 3.559254712805765, "deflection": 0.002080521333770233, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.003846)" }, "parent_node_id": "node_273", "improvement_over_parent": null }, "node_275": { "node_id": "node_275", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0027)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0081)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n\nPerformance:\n Mass: 211.71 kg\n Factor of Safety: 1.58\n Max Deflection: 1.86e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 211.71159351006986, "fos_buckling": 1.5790690847501259, "fos_yielding": 3.993970419820164, "deflection": 0.001857904606931724, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.135)" }, "parent_node_id": "node_274", "improvement_over_parent": null }, "node_276": { "node_id": "node_276", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_275", "improvement_over_parent": null }, "node_277": { "node_id": "node_277", "content": "INITIAL DESIGN (Trace 39)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0030)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0014)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0027)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0019)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0019)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0023)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0032)]\n\nPerformance:\n Mass: 109.57 kg\n Factor of Safety: 0.64\n Max Deflection: 3.76e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 109.57438531904909, "fos_buckling": 0.6445846284692726, "fos_yielding": 2.110363368783838, "deflection": 0.0037607554816575873, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_278": { "node_id": "node_278", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0030)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0014)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0027)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0019)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0019)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0023)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0032)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0015)]\n\nPerformance:\n Mass: 111.87 kg\n Factor of Safety: 0.60\n Max Deflection: 3.54e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 111.8698802375262, "fos_buckling": 0.6017573099042189, "fos_yielding": 2.4091573662399726, "deflection": 0.0035414507969427993, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.001495)" }, "parent_node_id": "node_277", "improvement_over_parent": null }, "node_279": { "node_id": "node_279", "content": "MODIFICATION: Increase 8 thickness by 45%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0030)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0014)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0019)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0019)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0023)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0032)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0015)]\n\nPerformance:\n Mass: 117.43 kg\n Factor of Safety: 0.64\n Max Deflection: 3.49e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 117.4300357925643, "fos_buckling": 0.6396610520589132, "fos_yielding": 2.3770099996827, "deflection": 0.003492259475339533, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.451)" }, "parent_node_id": "node_278", "improvement_over_parent": null }, "node_280": { "node_id": "node_280", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0030)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0014)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0019)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0019)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0023)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0032)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0015)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n\nPerformance:\n Mass: 123.21 kg\n Factor of Safety: 0.88\n Max Deflection: 3.34e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 123.20707107200501, "fos_buckling": 0.8784817535723071, "fos_yielding": 2.5024361475236683, "deflection": 0.0033422452896647017, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.001975)" }, "parent_node_id": "node_279", "improvement_over_parent": null }, "node_281": { "node_id": "node_281", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0035)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0016)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0023)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0022)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0027)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0039)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n\nPerformance:\n Mass: 146.17 kg\n Factor of Safety: 1.03\n Max Deflection: 2.82e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 146.1733007750683, "fos_buckling": 1.0299266503845221, "fos_yielding": 2.966832731202992, "deflection": 0.002819811494522012, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.199)" }, "parent_node_id": "node_280", "improvement_over_parent": null }, "node_282": { "node_id": "node_282", "content": "MODIFICATION: Increase 12 thickness by 35%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0035)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0016)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0023)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0022)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0037)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0039)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n\nPerformance:\n Mass: 149.66 kg\n Factor of Safety: 1.01\n Max Deflection: 2.81e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 149.66259880313822, "fos_buckling": 1.0130451952154937, "fos_yielding": 3.005876589881355, "deflection": 0.0028054428926990367, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.346)" }, "parent_node_id": "node_281", "improvement_over_parent": null }, "node_283": { "node_id": "node_283", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0045)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0046)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0049)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n\nPerformance:\n Mass: 186.81 kg\n Factor of Safety: 1.24\n Max Deflection: 2.25e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 186.812357946475, "fos_buckling": 1.2380757482051021, "fos_yielding": 3.7492350123546325, "deflection": 0.0022498488350295017, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.271)" }, "parent_node_id": "node_282", "improvement_over_parent": null }, "node_284": { "node_id": "node_284", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0068)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0032)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0053)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n\nPerformance:\n Mass: 210.08 kg\n Factor of Safety: 1.37\n Max Deflection: 2.00e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 210.08173466502208, "fos_buckling": 1.3737767023414358, "fos_yielding": 4.214533912326543, "deflection": 0.0020018474959144507, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.138)" }, "parent_node_id": "node_283", "improvement_over_parent": null }, "node_285": { "node_id": "node_285", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_284", "improvement_over_parent": null }, "node_286": { "node_id": "node_286", "content": "INITIAL DESIGN (Trace 40)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0014)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0030)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0021)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0036)]\n\nPerformance:\n Mass: 122.21 kg\n Factor of Safety: 0.74\n Max Deflection: 3.46e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 122.20526514053532, "fos_buckling": 0.7408352228084691, "fos_yielding": 1.9418896118559204, "deflection": 0.0034611364174652968, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_287": { "node_id": "node_287", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0014)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0030)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0021)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0036)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0025)]\n\nPerformance:\n Mass: 132.37 kg\n Factor of Safety: 0.77\n Max Deflection: 3.19e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 132.36789740299838, "fos_buckling": 0.7701615015944868, "fos_yielding": 2.0187601417330905, "deflection": 0.0031894902964829143, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.002501)" }, "parent_node_id": "node_286", "improvement_over_parent": null }, "node_288": { "node_id": "node_288", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0047)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n\nPerformance:\n Mass: 172.34 kg\n Factor of Safety: 0.98\n Max Deflection: 2.45e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 172.34273315026115, "fos_buckling": 0.9842759213154089, "fos_yielding": 2.6355306576963415, "deflection": 0.00245413384998664, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.326)" }, "parent_node_id": "node_287", "improvement_over_parent": null }, "node_289": { "node_id": "node_289", "content": "MODIFICATION: Increase 4 thickness by 62%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0047)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n\nPerformance:\n Mass: 174.60 kg\n Factor of Safety: 1.36\n Max Deflection: 2.34e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 174.5954257579192, "fos_buckling": 1.3583352721121762, "fos_yielding": 3.6473228916763283, "deflection": 0.002340010620147202, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.618)" }, "parent_node_id": "node_288", "improvement_over_parent": null }, "node_290": { "node_id": "node_290", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 203.69 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.68615614283456, "fos_buckling": 1.5422265135092261, "fos_yielding": 4.247599388082136, "deflection": 0.0020094724483407335, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.183)" }, "parent_node_id": "node_289", "improvement_over_parent": null }, "node_291": { "node_id": "node_291", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_290", "improvement_over_parent": null }, "node_292": { "node_id": "node_292", "content": "INITIAL DESIGN (Trace 41)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0047)]\n\nPerformance:\n Mass: 148.27 kg\n Factor of Safety: 0.00\n Max Deflection: 4.65e+14 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 148.26589346545916, "fos_buckling": 0.0029010021395779917, "fos_yielding": 0.021030546004924336, "deflection": 465218205950794.56, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_293": { "node_id": "node_293", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0047)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n\nPerformance:\n Mass: 154.41 kg\n Factor of Safety: 0.83\n Max Deflection: 2.65e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 154.40666701165205, "fos_buckling": 0.834931727169004, "fos_yielding": 2.729735270191204, "deflection": 0.002647962459372753, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.002979)" }, "parent_node_id": "node_292", "improvement_over_parent": null }, "node_294": { "node_id": "node_294", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0047)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n\nPerformance:\n Mass: 167.63 kg\n Factor of Safety: 1.04\n Max Deflection: 2.41e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 167.63423919073298, "fos_buckling": 1.0430440770864955, "fos_yielding": 2.8298862501688316, "deflection": 0.0024081066716417085, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.003300)" }, "parent_node_id": "node_293", "improvement_over_parent": null }, "node_295": { "node_id": "node_295", "content": "MODIFICATION: Increase 6 thickness by 46%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0042)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0047)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n\nPerformance:\n Mass: 171.02 kg\n Factor of Safety: 1.05\n Max Deflection: 2.39e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 171.01604792414042, "fos_buckling": 1.0540593783478183, "fos_yielding": 2.8597718995538086, "deflection": 0.0023944459961825182, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.464)" }, "parent_node_id": "node_294", "improvement_over_parent": null }, "node_296": { "node_id": "node_296", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0035)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0050)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n\nPerformance:\n Mass: 201.35 kg\n Factor of Safety: 1.22\n Max Deflection: 2.04e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 201.3476479981642, "fos_buckling": 1.2222913190212088, "fos_yielding": 3.3779494626942257, "deflection": 0.0020370356934418625, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.195)" }, "parent_node_id": "node_295", "improvement_over_parent": null }, "node_297": { "node_id": "node_297", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_296", "improvement_over_parent": null }, "node_298": { "node_id": "node_298", "content": "INITIAL DESIGN (Trace 42)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0013)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0016)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0010)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0015)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0022)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0010)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0017)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0015)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0020)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0015)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0019)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0017)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0017)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0024)]\n\nPerformance:\n Mass: 89.89 kg\n Factor of Safety: 0.64\n Max Deflection: 4.76e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 89.89359969207659, "fos_buckling": 0.6419248065177443, "fos_yielding": 1.6105890795036972, "deflection": 0.004759593953104832, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_299": { "node_id": "node_299", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0013)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0016)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0010)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0015)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0022)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0010)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0017)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0015)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0020)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0015)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0019)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0017)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0017)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0024)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0011)]\n\nPerformance:\n Mass: 91.64 kg\n Factor of Safety: 0.73\n Max Deflection: 4.39e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 91.64406364215561, "fos_buckling": 0.734850655823804, "fos_yielding": 1.949717814873369, "deflection": 0.00439354138641905, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.001126)" }, "parent_node_id": "node_298", "improvement_over_parent": null }, "node_300": { "node_id": "node_300", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0016)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0019)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0012)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0018)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0027)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0012)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0018)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0024)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0017)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0023)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0020)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0020)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0029)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0013)]\n\nPerformance:\n Mass: 108.72 kg\n Factor of Safety: 0.86\n Max Deflection: 3.71e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 108.72162919280423, "fos_buckling": 0.8579335506533774, "fos_yielding": 2.3105116807325774, "deflection": 0.0037075238365618744, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.195)" }, "parent_node_id": "node_299", "improvement_over_parent": null }, "node_301": { "node_id": "node_301", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0035)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0015)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0032)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0023)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0027)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0039)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n\nPerformance:\n Mass: 142.27 kg\n Factor of Safety: 1.09\n Max Deflection: 2.84e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 142.26545882516382, "fos_buckling": 1.087292264820869, "fos_yielding": 3.0168727698233675, "deflection": 0.0028395222653585473, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.328)" }, "parent_node_id": "node_300", "improvement_over_parent": null }, "node_302": { "node_id": "node_302", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0019)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0047)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n\nPerformance:\n Mass: 170.61 kg\n Factor of Safety: 1.27\n Max Deflection: 2.37e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 170.61364596652103, "fos_buckling": 1.2684643755789882, "fos_yielding": 3.6114347594044163, "deflection": 0.0023720839184966386, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.215)" }, "parent_node_id": "node_301", "improvement_over_parent": null }, "node_303": { "node_id": "node_303", "content": "MODIFICATION: Increase 7 thickness by 54%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0019)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0052)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0047)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n\nPerformance:\n Mass: 176.00 kg\n Factor of Safety: 1.32\n Max Deflection: 2.32e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 176.00270660439864, "fos_buckling": 1.3153561240995484, "fos_yielding": 3.6911623494849244, "deflection": 0.002322251642845462, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.538)" }, "parent_node_id": "node_302", "improvement_over_parent": null }, "node_304": { "node_id": "node_304", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0062)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n\nPerformance:\n Mass: 207.10 kg\n Factor of Safety: 1.50\n Max Deflection: 1.98e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 207.10456508854156, "fos_buckling": 1.5013531555467023, "fos_yielding": 4.335917629284883, "deflection": 0.001976931945062927, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.195)" }, "parent_node_id": "node_303", "improvement_over_parent": null }, "node_305": { "node_id": "node_305", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_304", "improvement_over_parent": null }, "node_306": { "node_id": "node_306", "content": "INITIAL DESIGN (Trace 43)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0045)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0049)]\n\nPerformance:\n Mass: 133.43 kg\n Factor of Safety: 0.27\n Max Deflection: 3.22e+13 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 133.42694085583798, "fos_buckling": 0.2689932279919772, "fos_yielding": 0.6729774721575786, "deflection": 32150919217361.082, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_307": { "node_id": "node_307", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0045)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0049)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0041)]\n\nPerformance:\n Mass: 153.05 kg\n Factor of Safety: 0.87\n Max Deflection: 2.98e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 153.05171149141333, "fos_buckling": 0.8680784322328227, "fos_yielding": 2.686867846999518, "deflection": 0.002983984476919355, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.004115)" }, "parent_node_id": "node_306", "improvement_over_parent": null }, "node_308": { "node_id": "node_308", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n\nPerformance:\n Mass: 173.13 kg\n Factor of Safety: 0.96\n Max Deflection: 2.64e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 173.12995750113535, "fos_buckling": 0.962487952313487, "fos_yielding": 3.0451872489114327, "deflection": 0.002639462217360635, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.144)" }, "parent_node_id": "node_307", "improvement_over_parent": null }, "node_309": { "node_id": "node_309", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n\nPerformance:\n Mass: 192.23 kg\n Factor of Safety: 0.88\n Max Deflection: 2.19e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 192.23367682392876, "fos_buckling": 0.8762941275427759, "fos_yielding": 3.1474658138993044, "deflection": 0.002185141139681462, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.004368)" }, "parent_node_id": "node_308", "improvement_over_parent": null }, "node_310": { "node_id": "node_310", "content": "MODIFICATION: Increase 2 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n\nPerformance:\n Mass: 194.26 kg\n Factor of Safety: 0.88\n Max Deflection: 2.10e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 194.2582240390346, "fos_buckling": 0.8834861304211743, "fos_yielding": 4.038077658828506, "deflection": 0.002101209911308243, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.389)" }, "parent_node_id": "node_309", "improvement_over_parent": null }, "node_311": { "node_id": "node_311", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n\nPerformance:\n Mass: 203.90 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.8999889613176, "fos_buckling": 1.5434503191201852, "fos_yielding": 4.252060163150491, "deflection": 0.0020073264783527726, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.003423)" }, "parent_node_id": "node_310", "improvement_over_parent": null }, "node_312": { "node_id": "node_312", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_311", "improvement_over_parent": null }, "node_313": { "node_id": "node_313", "content": "INITIAL DESIGN (Trace 44)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0013)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0015)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0009)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0015)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0011)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0014)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0014)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0014)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0018)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0016)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0023)]\n\nPerformance:\n Mass: 72.09 kg\n Factor of Safety: 0.16\n Max Deflection: 7.71e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 72.0933426025151, "fos_buckling": 0.16411783744477632, "fos_yielding": 1.1088715571804093, "deflection": 0.0077066572621785736, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_314": { "node_id": "node_314", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0015)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0017)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0010)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0017)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0012)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0016)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0016)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0016)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0021)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0019)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0026)]\n\nPerformance:\n Mass: 81.98 kg\n Factor of Safety: 0.18\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": 81.98421104961118, "fos_buckling": 0.1845964043272789, "fos_yielding": 1.2594940292335708, "deflection": 0.006783880556777056, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.143)" }, "parent_node_id": "node_313", "improvement_over_parent": null }, "node_315": { "node_id": "node_315", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0019)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0019)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0025)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0032)]\n\nPerformance:\n Mass: 98.66 kg\n Factor of Safety: 0.22\n Max Deflection: 5.65e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 98.65983799402156, "fos_buckling": 0.21802254218220715, "fos_yielding": 1.512622918050932, "deflection": 0.005647041117043335, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.214)" }, "parent_node_id": "node_314", "improvement_over_parent": null }, "node_316": { "node_id": "node_316", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0022)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0037)]\n\nPerformance:\n Mass: 112.42 kg\n Factor of Safety: 0.24\n Max Deflection: 4.96e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 112.42391574095075, "fos_buckling": 0.24457730568254615, "fos_yielding": 1.720788843486679, "deflection": 0.0049627583669190276, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.148)" }, "parent_node_id": "node_315", "improvement_over_parent": null }, "node_317": { "node_id": "node_317", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0042)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0046)]\n\nPerformance:\n Mass: 138.70 kg\n Factor of Safety: 0.29\n Max Deflection: 4.03e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 138.70494742439772, "fos_buckling": 0.2926981762336137, "fos_yielding": 2.1163461449802887, "deflection": 0.004033408308061312, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.252)" }, "parent_node_id": "node_316", "improvement_over_parent": null }, "node_318": { "node_id": "node_318", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 166.24 kg\n Factor of Safety: 0.34\n Max Deflection: 3.37e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 166.23855542048392, "fos_buckling": 0.3395059184518254, "fos_yielding": 2.5280842182353616, "deflection": 0.0033749519472657113, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.218)" }, "parent_node_id": "node_317", "improvement_over_parent": null }, "node_319": { "node_id": "node_319", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 181.69 kg\n Factor of Safety: 0.34\n Max Deflection: 3.19e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 181.68945993422471, "fos_buckling": 0.3391535642093135, "fos_yielding": 2.525460460735685, "deflection": 0.003191565837833746, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003928)" }, "parent_node_id": "node_318", "improvement_over_parent": null }, "node_320": { "node_id": "node_320", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n\nPerformance:\n Mass: 203.89 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.8924446179385, "fos_buckling": 1.5434037568980759, "fos_yielding": 4.2515630520634025, "deflection": 0.002007427488553381, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.004709)" }, "parent_node_id": "node_319", "improvement_over_parent": null }, "node_321": { "node_id": "node_321", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_320", "improvement_over_parent": null }, "node_322": { "node_id": "node_322", "content": "INITIAL DESIGN (Trace 45)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0017)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0031)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0026)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0037)]\n\nPerformance:\n Mass: 115.12 kg\n Factor of Safety: 0.37\n Max Deflection: 3.25e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 115.11588315879527, "fos_buckling": 0.3743618884629345, "fos_yielding": 2.0984996013951895, "deflection": 3245534340011.1807, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_323": { "node_id": "node_323", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0041)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0048)]\n\nPerformance:\n Mass: 148.51 kg\n Factor of Safety: 0.51\n Max Deflection: 5.88e+12 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 148.50906032328209, "fos_buckling": 0.5056678269169551, "fos_yielding": 2.93284220751066, "deflection": 5881634549800.357, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.314)" }, "parent_node_id": "node_322", "improvement_over_parent": null }, "node_324": { "node_id": "node_324", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0041)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0048)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n\nPerformance:\n Mass: 158.42 kg\n Factor of Safety: 0.87\n Max Deflection: 4.07e+12 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 158.41568008389217, "fos_buckling": 0.8676131808518264, "fos_yielding": 1.7946065924202101, "deflection": 4068160952353.984, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.002906)" }, "parent_node_id": "node_323", "improvement_over_parent": null }, "node_325": { "node_id": "node_325", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0041)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0048)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n\nPerformance:\n Mass: 172.04 kg\n Factor of Safety: 0.42\n Max Deflection: 5.92e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 172.0426502592426, "fos_buckling": 0.4241325502047696, "fos_yielding": 2.036546998441544, "deflection": 0.005915400404942668, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.003408)" }, "parent_node_id": "node_324", "improvement_over_parent": null }, "node_326": { "node_id": "node_326", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0041)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0048)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n\nPerformance:\n Mass: 178.37 kg\n Factor of Safety: 1.38\n Max Deflection: 2.29e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 178.3679002323942, "fos_buckling": 1.3828041294853797, "fos_yielding": 3.725117448977595, "deflection": 0.002290979905887418, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.003076)" }, "parent_node_id": "node_325", "improvement_over_parent": null }, "node_327": { "node_id": "node_327", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n\nPerformance:\n Mass: 203.86 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.85798421235592, "fos_buckling": 1.5432183295028359, "fos_yielding": 4.2509503173264465, "deflection": 0.0020077290025830624, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.157)" }, "parent_node_id": "node_326", "improvement_over_parent": null }, "node_328": { "node_id": "node_328", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_327", "improvement_over_parent": null }, "node_329": { "node_id": "node_329", "content": "INITIAL DESIGN (Trace 46)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0024)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0029)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0041)]\n\nPerformance:\n Mass: 115.77 kg\n Factor of Safety: 0.38\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": 115.7686203292898, "fos_buckling": 0.37820090632647857, "fos_yielding": 1.3459549443151575, "deflection": 3757942434690.4453, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_330": { "node_id": "node_330", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0024)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0029)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0041)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0032)]\n\nPerformance:\n Mass: 129.97 kg\n Factor of Safety: 0.27\n Max Deflection: 4.05e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 129.9743139236168, "fos_buckling": 0.26719514343729467, "fos_yielding": 1.9018073113551706, "deflection": 0.0040504002580220725, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.003169)" }, "parent_node_id": "node_329", "improvement_over_parent": null }, "node_331": { "node_id": "node_331", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0024)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0029)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0041)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0032)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n\nPerformance:\n Mass: 141.56 kg\n Factor of Safety: 0.74\n Max Deflection: 2.86e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 141.56033602245932, "fos_buckling": 0.7424928118524972, "fos_yielding": 2.6095427297070533, "deflection": 0.0028593415670079792, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.002862)" }, "parent_node_id": "node_330", "improvement_over_parent": null }, "node_332": { "node_id": "node_332", "content": "MODIFICATION: Increase 6 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0037)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0024)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0029)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0041)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0032)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n\nPerformance:\n Mass: 144.49 kg\n Factor of Safety: 0.69\n Max Deflection: 2.82e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 144.4874390533832, "fos_buckling": 0.6909159882113813, "fos_yielding": 3.0158177042754266, "deflection": 0.002816486678869236, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.238)" }, "parent_node_id": "node_331", "improvement_over_parent": null }, "node_333": { "node_id": "node_333", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0037)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0024)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0029)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0041)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0032)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n\nPerformance:\n Mass: 151.66 kg\n Factor of Safety: 1.20\n Max Deflection: 2.69e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 151.65875625861347, "fos_buckling": 1.2048225630498144, "fos_yielding": 3.172385292688991, "deflection": 0.0026899525418571653, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.002484)" }, "parent_node_id": "node_332", "improvement_over_parent": null }, "node_334": { "node_id": "node_334", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0047)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n\nPerformance:\n Mass: 175.08 kg\n Factor of Safety: 1.36\n Max Deflection: 2.33e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 175.0836556710908, "fos_buckling": 1.3614596433128894, "fos_yielding": 3.65722728772497, "deflection": 0.002333491026624112, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.167)" }, "parent_node_id": "node_333", "improvement_over_parent": null }, "node_335": { "node_id": "node_335", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.9324839158694, "fos_buckling": 1.543666571092961, "fos_yielding": 4.252458906665388, "deflection": 0.002007020334555421, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.181)" }, "parent_node_id": "node_334", "improvement_over_parent": null }, "node_336": { "node_id": "node_336", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_335", "improvement_over_parent": null }, "node_337": { "node_id": "node_337", "content": "INITIAL DESIGN (Trace 47)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0032)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0046)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0021)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n\nPerformance:\n Mass: 117.76 kg\n Factor of Safety: 0.14\n Max Deflection: 2.08e+13 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 117.76176497242922, "fos_buckling": 0.1377914531172026, "fos_yielding": 0.9706898849788558, "deflection": 20767236979478.17, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_338": { "node_id": "node_338", "content": "MODIFICATION: Increase 10 thickness by 41%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0032)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0046)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n\nPerformance:\n Mass: 120.54 kg\n Factor of Safety: 0.22\n Max Deflection: 6.84e+12 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 120.5411142819852, "fos_buckling": 0.21806122092021957, "fos_yielding": 0.8973032962101049, "deflection": 6835077769636.364, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.408)" }, "parent_node_id": "node_337", "improvement_over_parent": null }, "node_339": { "node_id": "node_339", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n\nPerformance:\n Mass: 134.15 kg\n Factor of Safety: 0.47\n Max Deflection: 7.67e+12 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 134.14937175573715, "fos_buckling": 0.4672275996930388, "fos_yielding": 1.781905642894671, "deflection": 7665726237515.078, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.124)" }, "parent_node_id": "node_338", "improvement_over_parent": null }, "node_340": { "node_id": "node_340", "content": "MODIFICATION: Increase 3 thickness by 46%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n\nPerformance:\n Mass: 134.98 kg\n Factor of Safety: 0.18\n Max Deflection: 7.13e+12 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 134.9811131678731, "fos_buckling": 0.18073186809784844, "fos_yielding": 1.3459549443151573, "deflection": 7127287163330.181, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.460)" }, "parent_node_id": "node_339", "improvement_over_parent": null }, "node_341": { "node_id": "node_341", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 150.43 kg\n Factor of Safety: 0.32\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": 150.4320176816139, "fos_buckling": 0.31704176273960144, "fos_yielding": 1.7391861645301465, "deflection": 0.006378363413910922, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003928)" }, "parent_node_id": "node_340", "improvement_over_parent": null }, "node_342": { "node_id": "node_342", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n\nPerformance:\n Mass: 172.64 kg\n Factor of Safety: 0.32\n Max Deflection: 5.69e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 172.6350023653277, "fos_buckling": 0.3168035927190993, "fos_yielding": 1.7378758043407365, "deflection": 0.0056852198212886205, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.004709)" }, "parent_node_id": "node_341", "improvement_over_parent": null }, "node_343": { "node_id": "node_343", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n\nPerformance:\n Mass: 203.94 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.94455271025652, "fos_buckling": 1.5438462238825916, "fos_yielding": 4.253058958444987, "deflection": 0.002006812171837638, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.005592)" }, "parent_node_id": "node_342", "improvement_over_parent": null }, "node_344": { "node_id": "node_344", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_343", "improvement_over_parent": null }, "node_345": { "node_id": "node_345", "content": "INITIAL DESIGN (Trace 48)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0032)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0030)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0016)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0025)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0028)]\n\nPerformance:\n Mass: 114.15 kg\n Factor of Safety: 0.65\n Max Deflection: 4.09e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 114.15211342083259, "fos_buckling": 0.6511617786573365, "fos_yielding": 2.1337753866971103, "deflection": 0.004093932346633407, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_346": { "node_id": "node_346", "content": "MODIFICATION: Increase 14 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0032)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0030)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0016)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0025)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0035)]\n\nPerformance:\n Mass: 118.20 kg\n Factor of Safety: 0.68\n Max Deflection: 3.87e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 118.20379930510066, "fos_buckling": 0.6828077318703883, "fos_yielding": 2.1331864483506675, "deflection": 0.0038672812186536874, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.264)" }, "parent_node_id": "node_345", "improvement_over_parent": null }, "node_347": { "node_id": "node_347", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0034)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0019)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0028)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0040)]\n\nPerformance:\n Mass: 134.71 kg\n Factor of Safety: 0.77\n Max Deflection: 3.40e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 134.71365497916273, "fos_buckling": 0.7664805717724078, "fos_yielding": 2.4285079372331473, "deflection": 0.0033961923553433326, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.149)" }, "parent_node_id": "node_346", "improvement_over_parent": null }, "node_348": { "node_id": "node_348", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0022)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0046)]\n\nPerformance:\n Mass: 153.70 kg\n Factor of Safety: 0.86\n Max Deflection: 2.98e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 153.7014122221089, "fos_buckling": 0.8591568852878607, "fos_yielding": 2.7673534393949977, "deflection": 0.002979538036244533, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.152)" }, "parent_node_id": "node_347", "improvement_over_parent": null }, "node_349": { "node_id": "node_349", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0022)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0046)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n\nPerformance:\n Mass: 169.80 kg\n Factor of Safety: 1.34\n Max Deflection: 2.39e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 169.80486028690387, "fos_buckling": 1.3394286733047287, "fos_yielding": 3.5887199103762293, "deflection": 0.0023897407358088323, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.003626)" }, "parent_node_id": "node_348", "improvement_over_parent": null }, "node_350": { "node_id": "node_350", "content": "MODIFICATION: Increase 11 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0046)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n\nPerformance:\n Mass: 171.81 kg\n Factor of Safety: 1.34\n Max Deflection: 2.38e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 171.80866926222873, "fos_buckling": 1.3398369157461087, "fos_yielding": 3.589813710894943, "deflection": 0.0023775253727277433, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.287)" }, "parent_node_id": "node_349", "improvement_over_parent": null }, "node_351": { "node_id": "node_351", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n\nPerformance:\n Mass: 203.88 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.87735621686826, "fos_buckling": 1.543122294682643, "fos_yielding": 4.251659006919157, "deflection": 0.002007592235745695, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.205)" }, "parent_node_id": "node_350", "improvement_over_parent": null }, "node_352": { "node_id": "node_352", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_351", "improvement_over_parent": null }, "node_353": { "node_id": "node_353", "content": "INITIAL DESIGN (Trace 49)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0017)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0032)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0018)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0026)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0037)]\n\nPerformance:\n Mass: 134.90 kg\n Factor of Safety: 1.00\n Max Deflection: 3.07e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 134.89842333200716, "fos_buckling": 0.9952882640754622, "fos_yielding": 2.2347666569874884, "deflection": 0.0030663645269594516, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_354": { "node_id": "node_354", "content": "MODIFICATION: Increase 11 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0017)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0032)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0023)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0026)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0037)]\n\nPerformance:\n Mass: 136.45 kg\n Factor of Safety: 0.99\n Max Deflection: 3.06e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 136.45265634054522, "fos_buckling": 0.988509635352447, "fos_yielding": 2.2306246901804156, "deflection": 0.003055763588641884, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.264)" }, "parent_node_id": "node_353", "improvement_over_parent": null }, "node_355": { "node_id": "node_355", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0038)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0045)]\n\nPerformance:\n Mass: 162.49 kg\n Factor of Safety: 1.16\n Max Deflection: 2.57e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 162.48633593445578, "fos_buckling": 1.1565536206357896, "fos_yielding": 2.6592885451738115, "deflection": 0.002569544510632333, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.205)" }, "parent_node_id": "node_354", "improvement_over_parent": null }, "node_356": { "node_id": "node_356", "content": "MODIFICATION: Increase 6 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0038)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0045)]\n\nPerformance:\n Mass: 165.60 kg\n Factor of Safety: 1.31\n Max Deflection: 2.54e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 165.59673354363986, "fos_buckling": 1.3061005218114836, "fos_yielding": 2.646430796261452, "deflection": 0.0025446979574137284, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.229)" }, "parent_node_id": "node_355", "improvement_over_parent": null }, "node_357": { "node_id": "node_357", "content": "MODIFICATION: Increase 1 thickness by 42%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0038)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0045)]\n\nPerformance:\n Mass: 167.38 kg\n Factor of Safety: 1.31\n Max Deflection: 2.44e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 167.3765387063455, "fos_buckling": 1.3107546103236372, "fos_yielding": 3.4977630270841376, "deflection": 0.0024398046642778574, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.420)" }, "parent_node_id": "node_356", "improvement_over_parent": null }, "node_358": { "node_id": "node_358", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 204.11 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.10721481109562, "fos_buckling": 1.5447007059232063, "fos_yielding": 4.255944640825305, "deflection": 0.002005361295712557, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.241)" }, "parent_node_id": "node_357", "improvement_over_parent": null }, "node_359": { "node_id": "node_359", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_358", "improvement_over_parent": null }, "node_360": { "node_id": "node_360", "content": "INITIAL DESIGN (Trace 50)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0018)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0038)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0045)]\n\nPerformance:\n Mass: 152.51 kg\n Factor of Safety: 0.91\n Max Deflection: 2.80e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 152.51302998061374, "fos_buckling": 0.9082765410453164, "fos_yielding": 2.4208163795720585, "deflection": 0.0028025452896617946, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_361": { "node_id": "node_361", "content": "MODIFICATION: Increase 0 thickness by 37%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0018)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0038)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0045)]\n\nPerformance:\n Mass: 153.66 kg\n Factor of Safety: 0.91\n Max Deflection: 2.75e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 153.6562356022661, "fos_buckling": 0.9081750846057003, "fos_yielding": 2.420545969185203, "deflection": 0.0027507500639988693, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.370)" }, "parent_node_id": "node_360", "improvement_over_parent": null }, "node_362": { "node_id": "node_362", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 189.11 kg\n Factor of Safety: 1.10\n Max Deflection: 2.24e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 189.10897321345047, "fos_buckling": 1.0980657907721934, "fos_yielding": 2.9879050825300966, "deflection": 0.002238994691249729, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.253)" }, "parent_node_id": "node_361", "improvement_over_parent": null }, "node_363": { "node_id": "node_363", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n\nPerformance:\n Mass: 200.43 kg\n Factor of Safety: 1.13\n Max Deflection: 2.11e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 200.43361521555732, "fos_buckling": 1.1336565699231482, "fos_yielding": 3.0847497987666004, "deflection": 0.002109896774796968, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.003363)" }, "parent_node_id": "node_362", "improvement_over_parent": null }, "node_364": { "node_id": "node_364", "content": "MODIFICATION: Increase 4 thickness by 62%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n\nPerformance:\n Mass: 203.04 kg\n Factor of Safety: 1.50\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.04168866479594, "fos_buckling": 1.5011631585596084, "fos_yielding": 4.219659547695355, "deflection": 0.0020132915287256145, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.618)" }, "parent_node_id": "node_363", "improvement_over_parent": null }, "node_365": { "node_id": "node_365", "content": "MODIFICATION: Increase 5 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n\nPerformance:\n Mass: 203.90 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.90275845683846, "fos_buckling": 1.5434691655835406, "fos_yielding": 4.251785100628491, "deflection": 0.002007234589241378, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.318)" }, "parent_node_id": "node_364", "improvement_over_parent": null }, "node_366": { "node_id": "node_366", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_365", "improvement_over_parent": null }, "node_367": { "node_id": "node_367", "content": "INITIAL DESIGN (Trace 51)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0010)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0019)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0037)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0024)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0032)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0028)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0041)]\n\nPerformance:\n Mass: 136.82 kg\n Factor of Safety: 0.09\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": 136.82419203691109, "fos_buckling": 0.08791761781068044, "fos_yielding": 0.5974458886473827, "deflection": 0.01787393384099623, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_368": { "node_id": "node_368", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0010)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0019)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0037)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0024)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0032)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0028)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0041)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0026)]\n\nPerformance:\n Mass: 142.20 kg\n Factor of Safety: 0.48\n Max Deflection: 2.95e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 142.1958756788646, "fos_buckling": 0.47853665594389067, "fos_yielding": 2.413343862704698, "deflection": 0.0029520812553977633, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.002580)" }, "parent_node_id": "node_367", "improvement_over_parent": null }, "node_369": { "node_id": "node_369", "content": "MODIFICATION: Increase 2 thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0010)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0019)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0037)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0024)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0032)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0028)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0041)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0026)]\n\nPerformance:\n Mass: 143.56 kg\n Factor of Safety: 0.48\n Max Deflection: 2.85e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 143.55990767149376, "fos_buckling": 0.4820123440055954, "fos_yielding": 2.9742455112911133, "deflection": 0.002852573298065766, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.332)" }, "parent_node_id": "node_368", "improvement_over_parent": null }, "node_370": { "node_id": "node_370", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0010)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0019)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0037)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0024)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0032)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0028)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0041)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0026)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n\nPerformance:\n Mass: 150.72 kg\n Factor of Safety: 0.91\n Max Deflection: 2.71e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 150.72312066412914, "fos_buckling": 0.9108081796498957, "fos_yielding": 3.1697321487306285, "deflection": 0.002705814427821802, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.002481)" }, "parent_node_id": "node_369", "improvement_over_parent": null }, "node_371": { "node_id": "node_371", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0012)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0046)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0042)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0050)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0032)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0031)]\n\nPerformance:\n Mass: 182.66 kg\n Factor of Safety: 1.08\n Max Deflection: 2.24e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 182.65831878392993, "fos_buckling": 1.0842900222543983, "fos_yielding": 3.8337216889075094, "deflection": 0.002237228774251757, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.230)" }, "parent_node_id": "node_370", "improvement_over_parent": null }, "node_372": { "node_id": "node_372", "content": "MODIFICATION: Increase 3 thickness by 62%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0046)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0042)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0050)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0032)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0031)]\n\nPerformance:\n Mass: 183.58 kg\n Factor of Safety: 1.42\n Max Deflection: 2.23e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 183.5819650567332, "fos_buckling": 1.4163105130767437, "fos_yielding": 3.8349291343330614, "deflection": 0.00222653394838923, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.623)" }, "parent_node_id": "node_371", "improvement_over_parent": null }, "node_373": { "node_id": "node_373", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n\nPerformance:\n Mass: 203.80 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.79719500759765, "fos_buckling": 1.5427872820377178, "fos_yielding": 4.252021665396123, "deflection": 0.0020082249398704374, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.121)" }, "parent_node_id": "node_372", "improvement_over_parent": null }, "node_374": { "node_id": "node_374", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_373", "improvement_over_parent": null }, "node_375": { "node_id": "node_375", "content": "INITIAL DESIGN (Trace 52)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0032)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0029)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0021)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0024)]\n\nPerformance:\n Mass: 107.86 kg\n Factor of Safety: 0.23\n Max Deflection: 8.80e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 107.86017944323032, "fos_buckling": 0.22689398505364872, "fos_yielding": 0.8124186995324836, "deflection": 8800865567349.506, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_376": { "node_id": "node_376", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0032)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0029)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0021)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0024)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0035)]\n\nPerformance:\n Mass: 127.87 kg\n Factor of Safety: 0.87\n Max Deflection: 3.39e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 127.86582538501789, "fos_buckling": 0.8691365864153571, "fos_yielding": 2.2478313971949206, "deflection": 0.0033943843959229883, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.003453)" }, "parent_node_id": "node_375", "improvement_over_parent": null }, "node_377": { "node_id": "node_377", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0038)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0035)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0025)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0042)]\n\nPerformance:\n Mass: 152.36 kg\n Factor of Safety: 1.01\n Max Deflection: 2.85e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 152.36469175205485, "fos_buckling": 1.0126235943637734, "fos_yielding": 2.674363962351291, "deflection": 0.0028530762945453087, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.205)" }, "parent_node_id": "node_376", "improvement_over_parent": null }, "node_378": { "node_id": "node_378", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0038)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0035)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0025)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0042)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0019)]\n\nPerformance:\n Mass: 155.28 kg\n Factor of Safety: 1.23\n Max Deflection: 2.63e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 155.28173798282867, "fos_buckling": 1.2296349905985358, "fos_yielding": 3.247496428096795, "deflection": 0.002627746470923359, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.001928)" }, "parent_node_id": "node_377", "improvement_over_parent": null }, "node_379": { "node_id": "node_379", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0045)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0049)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n\nPerformance:\n Mass: 180.35 kg\n Factor of Safety: 1.40\n Max Deflection: 2.27e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 180.34518268356936, "fos_buckling": 1.3956553958102327, "fos_yielding": 3.765979903520457, "deflection": 0.0022661234399903576, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.175)" }, "parent_node_id": "node_378", "improvement_over_parent": null }, "node_380": { "node_id": "node_380", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n\nPerformance:\n Mass: 203.98 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.9800999240472, "fos_buckling": 1.5440513104633307, "fos_yielding": 4.2534823282010725, "deflection": 0.0020065250538799434, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.144)" }, "parent_node_id": "node_379", "improvement_over_parent": null }, "node_381": { "node_id": "node_381", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_380", "improvement_over_parent": null }, "node_382": { "node_id": "node_382", "content": "INITIAL DESIGN (Trace 53)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 173.53 kg\n Factor of Safety: 0.97\n Max Deflection: 2.62e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 173.5320966093086, "fos_buckling": 0.9691041526783031, "fos_yielding": 3.2255134564614827, "deflection": 0.0026183461530268513, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_383": { "node_id": "node_383", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n\nPerformance:\n Mass: 192.64 kg\n Factor of Safety: 0.88\n Max Deflection: 2.17e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 192.63581593210202, "fos_buckling": 0.8780874173773879, "fos_yielding": 3.333618799926157, "deflection": 0.0021656687278284836, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.004368)" }, "parent_node_id": "node_382", "improvement_over_parent": null }, "node_384": { "node_id": "node_384", "content": "MODIFICATION: Increase 2 thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n\nPerformance:\n Mass: 194.29 kg\n Factor of Safety: 0.88\n Max Deflection: 2.10e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 194.29165872201744, "fos_buckling": 0.8836500226793137, "fos_yielding": 4.038837963186865, "deflection": 0.0021008639320915395, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.299)" }, "parent_node_id": "node_383", "improvement_over_parent": null }, "node_385": { "node_id": "node_385", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93342364430046, "fos_buckling": 1.5437124855554722, "fos_yielding": 4.251972880435609, "deflection": 0.0020070143178641817, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.003423)" }, "parent_node_id": "node_384", "improvement_over_parent": null }, "node_386": { "node_id": "node_386", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_385", "improvement_over_parent": null }, "node_387": { "node_id": "node_387", "content": "INITIAL DESIGN (Trace 54)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0032)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0021)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0024)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0035)]\n\nPerformance:\n Mass: 106.60 kg\n Factor of Safety: 0.23\n Max Deflection: 4.81e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 106.6032797512532, "fos_buckling": 0.2340003548358079, "fos_yielding": 1.6368948665409986, "deflection": 0.004809024692876089, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_388": { "node_id": "node_388", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n\nPerformance:\n Mass: 130.67 kg\n Factor of Safety: 0.28\n Max Deflection: 3.93e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 130.67399591842783, "fos_buckling": 0.27899769243748873, "fos_yielding": 2.00076191075134, "deflection": 0.003929480699351794, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.242)" }, "parent_node_id": "node_387", "improvement_over_parent": null }, "node_389": { "node_id": "node_389", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n\nPerformance:\n Mass: 141.16 kg\n Factor of Safety: 0.28\n Max Deflection: 4.09e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 141.1555790872488, "fos_buckling": 0.2786028775674901, "fos_yielding": 1.9979305950268609, "deflection": 0.0040915635555203505, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.003101)" }, "parent_node_id": "node_388", "improvement_over_parent": null }, "node_390": { "node_id": "node_390", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n\nPerformance:\n Mass: 158.62 kg\n Factor of Safety: 1.23\n Max Deflection: 2.55e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 158.62312275183464, "fos_buckling": 1.2300584547058846, "fos_yielding": 3.3491967693525333, "deflection": 0.0025547505277135124, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.003629)" }, "parent_node_id": "node_389", "improvement_over_parent": null }, "node_391": { "node_id": "node_391", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n\nPerformance:\n Mass: 201.58 kg\n Factor of Safety: 1.50\n Max Deflection: 2.02e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 201.5804913368317, "fos_buckling": 1.4973815808521973, "fos_yielding": 4.244542837566736, "deflection": 0.0020159475625037898, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.297)" }, "parent_node_id": "node_390", "improvement_over_parent": null }, "node_392": { "node_id": "node_392", "content": "MODIFICATION: Increase 7 thickness by 35%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n\nPerformance:\n Mass: 203.91 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.91293868015816, "fos_buckling": 1.5435809516040455, "fos_yielding": 4.2521832965834045, "deflection": 0.0020071974478937877, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.350)" }, "parent_node_id": "node_391", "improvement_over_parent": null }, "node_393": { "node_id": "node_393", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_392", "improvement_over_parent": null }, "node_394": { "node_id": "node_394", "content": "INITIAL DESIGN (Trace 55)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0013)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0035)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0027)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0038)]\n\nPerformance:\n Mass: 112.75 kg\n Factor of Safety: 0.36\n Max Deflection: 4.87e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 112.74767101481582, "fos_buckling": 0.35518132294395427, "fos_yielding": 1.9966730506459496, "deflection": 4866939899539.234, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_395": { "node_id": "node_395", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0013)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0035)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0027)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0038)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0024)]\n\nPerformance:\n Mass: 117.77 kg\n Factor of Safety: 0.62\n Max Deflection: 6.63e+12 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 117.77092509857998, "fos_buckling": 0.62156731515192, "fos_yielding": 2.477516164697079, "deflection": 6630918972059.824, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.002402)" }, "parent_node_id": "node_394", "improvement_over_parent": null }, "node_396": { "node_id": "node_396", "content": "MODIFICATION: Increase 5 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0013)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0045)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0027)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0038)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0024)]\n\nPerformance:\n Mass: 122.11 kg\n Factor of Safety: 0.62\n Max Deflection: 6.63e+12 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 122.11263638678545, "fos_buckling": 0.62156731515192, "fos_yielding": 2.477516164697079, "deflection": 6630918972059.824, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.314)" }, "parent_node_id": "node_395", "improvement_over_parent": null }, "node_397": { "node_id": "node_397", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0015)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n\nPerformance:\n Mass: 136.75 kg\n Factor of Safety: 1.05\n Max Deflection: 3.24e+12 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 136.7531521887716, "fos_buckling": 1.0534986816257177, "fos_yielding": 1.1963770726154797, "deflection": 3242760689522.9746, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.129)" }, "parent_node_id": "node_396", "improvement_over_parent": null }, "node_398": { "node_id": "node_398", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0015)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n\nPerformance:\n Mass: 154.02 kg\n Factor of Safety: 1.03\n Max Deflection: 2.73e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 154.02326856600334, "fos_buckling": 1.0293388253687779, "fos_yielding": 3.2808308732551423, "deflection": 0.0027333523703122115, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.003585)" }, "parent_node_id": "node_397", "improvement_over_parent": null }, "node_399": { "node_id": "node_399", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0067)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n\nPerformance:\n Mass: 197.89 kg\n Factor of Safety: 1.27\n Max Deflection: 2.13e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 197.88837049389275, "fos_buckling": 1.2663898741173503, "fos_yielding": 4.208797371628925, "deflection": 0.0021315852479752363, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.314)" }, "parent_node_id": "node_398", "improvement_over_parent": null }, "node_400": { "node_id": "node_400", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0067)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n\nPerformance:\n Mass: 209.21 kg\n Factor of Safety: 1.37\n Max Deflection: 1.99e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 209.2130124959996, "fos_buckling": 1.3710134947418813, "fos_yielding": 4.227617173783125, "deflection": 0.001989310755921783, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.003363)" }, "parent_node_id": "node_399", "improvement_over_parent": null }, "node_401": { "node_id": "node_401", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_400", "improvement_over_parent": null }, "node_402": { "node_id": "node_402", "content": "INITIAL DESIGN (Trace 56)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0031)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0022)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0026)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0037)]\n\nPerformance:\n Mass: 112.17 kg\n Factor of Safety: 0.65\n Max Deflection: 2.20e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 112.16701042859727, "fos_buckling": 0.6536725579110652, "fos_yielding": 1.1803527530624094, "deflection": 2195265171257.266, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_403": { "node_id": "node_403", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nPerformance:\n Mass: 131.80 kg\n Factor of Safety: 0.21\n Max Deflection: 1.56e+13 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 131.80195707820184, "fos_buckling": 0.2131814912286266, "fos_yielding": 0.6729774721575786, "deflection": 15635001762339.83, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.188)" }, "parent_node_id": "node_402", "improvement_over_parent": null }, "node_404": { "node_id": "node_404", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n\nPerformance:\n Mass: 134.85 kg\n Factor of Safety: 0.57\n Max Deflection: 6.69e+12 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 134.85417294712644, "fos_buckling": 0.5701022486996826, "fos_yielding": 1.3459549443151573, "deflection": 6691984972479.079, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002024)" }, "parent_node_id": "node_403", "improvement_over_parent": null }, "node_405": { "node_id": "node_405", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n\nPerformance:\n Mass: 150.07 kg\n Factor of Safety: 0.79\n Max Deflection: 2.76e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 150.0695405775492, "fos_buckling": 0.7905407308396848, "fos_yielding": 2.7960011866085974, "deflection": 0.0027563214691832174, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.003411)" }, "parent_node_id": "node_404", "improvement_over_parent": null }, "node_406": { "node_id": "node_406", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n\nPerformance:\n Mass: 188.34 kg\n Factor of Safety: 0.96\n Max Deflection: 2.20e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 188.34379142683437, "fos_buckling": 0.9567928921946426, "fos_yielding": 3.5010406141114916, "deflection": 0.002201100201413892, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.280)" }, "parent_node_id": "node_405", "improvement_over_parent": null }, "node_407": { "node_id": "node_407", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.92512805928692, "fos_buckling": 1.5436592537533735, "fos_yielding": 4.2524476279532015, "deflection": 0.0020070533280895863, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.003945)" }, "parent_node_id": "node_406", "improvement_over_parent": null }, "node_408": { "node_id": "node_408", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_407", "improvement_over_parent": null }, "node_409": { "node_id": "node_409", "content": "INITIAL DESIGN (Trace 57)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0042)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0038)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0046)]\n\nPerformance:\n Mass: 152.48 kg\n Factor of Safety: 0.82\n Max Deflection: 2.67e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 152.48144721955208, "fos_buckling": 0.8183530489671549, "fos_yielding": 2.908881535134777, "deflection": 0.0026695391211874328, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_410": { "node_id": "node_410", "content": "MODIFICATION: Increase 8 thickness by 53%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0042)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0038)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0046)]\n\nPerformance:\n Mass: 156.11 kg\n Factor of Safety: 0.82\n Max Deflection: 2.65e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 156.1087463897135, "fos_buckling": 0.8179462949773388, "fos_yielding": 2.9074473328733093, "deflection": 0.0026505152174503025, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.527)" }, "parent_node_id": "node_409", "improvement_over_parent": null }, "node_411": { "node_id": "node_411", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0042)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0038)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0046)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n\nPerformance:\n Mass: 169.02 kg\n Factor of Safety: 1.32\n Max Deflection: 2.42e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 169.0204842283459, "fos_buckling": 1.321693694881128, "fos_yielding": 3.5319720566617043, "deflection": 0.002416228920631817, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.003215)" }, "parent_node_id": "node_410", "improvement_over_parent": null }, "node_412": { "node_id": "node_412", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n\nPerformance:\n Mass: 203.96 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.95738260832076, "fos_buckling": 1.5438486858336453, "fos_yielding": 4.253099406443671, "deflection": 0.002006738041451193, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.227)" }, "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "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 58)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0045)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0041)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0035)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0049)]\n\nPerformance:\n Mass: 153.91 kg\n Factor of Safety: 0.88\n Max Deflection: 3.01e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 153.91080220299665, "fos_buckling": 0.8768873405935244, "fos_yielding": 3.125889628803296, "deflection": 0.003010215016401283, "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: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0045)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0041)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0035)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0049)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n\nPerformance:\n Mass: 163.98 kg\n Factor of Safety: 0.88\n Max Deflection: 2.79e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 163.98382441417536, "fos_buckling": 0.8774987879978732, "fos_yielding": 3.1248196927979452, "deflection": 0.002787295241978173, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.002959)" }, "parent_node_id": "node_414", "improvement_over_parent": null }, "node_416": { "node_id": "node_416", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0045)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0041)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0035)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0049)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n\nPerformance:\n Mass: 175.83 kg\n Factor of Safety: 1.02\n Max Deflection: 2.55e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 175.83299968617644, "fos_buckling": 1.0152923901464819, "fos_yielding": 2.7402288271624835, "deflection": 0.0025514716299644665, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.003540)" }, "parent_node_id": "node_415", "improvement_over_parent": null }, "node_417": { "node_id": "node_417", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 197.62 kg\n Factor of Safety: 1.13\n Max Deflection: 2.27e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 197.61619433551186, "fos_buckling": 1.128251521704532, "fos_yielding": 3.084412831960727, "deflection": 0.002272553807965937, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.136)" }, "parent_node_id": "node_416", "improvement_over_parent": null }, "node_418": { "node_id": "node_418", "content": "MODIFICATION: Increase 4 thickness by 55%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 200.02 kg\n Factor of Safety: 1.27\n Max Deflection: 2.18e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 200.0191474084508, "fos_buckling": 1.2707202096134744, "fos_yielding": 3.5003133211141737, "deflection": 0.0021799623937215273, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.546)" }, "parent_node_id": "node_417", "improvement_over_parent": null }, "node_419": { "node_id": "node_419", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n\nPerformance:\n Mass: 203.85 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.85155617516958, "fos_buckling": 1.5432082276275183, "fos_yielding": 4.25090612044384, "deflection": 0.0020077841765621524, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002592)" }, "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "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 59)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0016)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0013)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0011)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0018)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0013)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0017)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0024)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0022)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0020)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0020)]\n\nPerformance:\n Mass: 78.89 kg\n Factor of Safety: 0.18\n Max Deflection: 1.29e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 78.89056796927122, "fos_buckling": 0.18269480238699082, "fos_yielding": 0.9222524059615084, "deflection": 0.01285156122464989, "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 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0016)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0032)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0029)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0024)]\n\nPerformance:\n Mass: 96.29 kg\n Factor of Safety: 0.22\n Max Deflection: 1.05e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 96.287466651864, "fos_buckling": 0.21833075566524235, "fos_yielding": 1.1242461399851298, "deflection": 0.01054169141385092, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.233)" }, "parent_node_id": "node_421", "improvement_over_parent": null }, "node_423": { "node_id": "node_423", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n\nPerformance:\n Mass: 120.15 kg\n Factor of Safety: 0.26\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": 120.14530928324282, "fos_buckling": 0.26449754701409417, "fos_yielding": 1.4004403340407148, "deflection": 0.008461728701350974, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.266)" }, "parent_node_id": "node_422", "improvement_over_parent": null }, "node_424": { "node_id": "node_424", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0044)]\n\nPerformance:\n Mass: 145.30 kg\n Factor of Safety: 0.82\n Max Deflection: 4.12e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 145.30074087029848, "fos_buckling": 0.8208618683235914, "fos_yielding": 2.6319831833024385, "deflection": 0.004116606702761772, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.004408)" }, "parent_node_id": "node_423", "improvement_over_parent": null }, "node_425": { "node_id": "node_425", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0044)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n\nPerformance:\n Mass: 154.40 kg\n Factor of Safety: 0.78\n Max Deflection: 2.69e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 154.39959567733786, "fos_buckling": 0.7750168116048521, "fos_yielding": 2.988651257763096, "deflection": 0.002691084347208428, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.002651)" }, "parent_node_id": "node_424", "improvement_over_parent": null }, "node_426": { "node_id": "node_426", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0044)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n\nPerformance:\n Mass: 162.15 kg\n Factor of Safety: 1.28\n Max Deflection: 2.60e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 162.14553943101058, "fos_buckling": 1.2830187326864977, "fos_yielding": 2.6137916236406165, "deflection": 0.0025953577300932592, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.002698)" }, "parent_node_id": "node_425", "improvement_over_parent": null }, "node_427": { "node_id": "node_427", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n\nPerformance:\n Mass: 201.90 kg\n Factor of Safety: 1.54\n Max Deflection: 2.09e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 201.90395927600363, "fos_buckling": 1.539036729434814, "fos_yielding": 3.26228147404851, "deflection": 0.002088107818926743, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.269)" }, "parent_node_id": "node_426", "improvement_over_parent": null }, "node_428": { "node_id": "node_428", "content": "MODIFICATION: Increase 1 thickness by 40%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n\nPerformance:\n Mass: 203.98 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.98158429251848, "fos_buckling": 1.5441724909356753, "fos_yielding": 4.253512917243699, "deflection": 0.002006621077707701, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.404)" }, "parent_node_id": "node_427", "improvement_over_parent": null }, "node_429": { "node_id": "node_429", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_428", "improvement_over_parent": null }, "node_430": { "node_id": "node_430", "content": "INITIAL DESIGN (Trace 60)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0019)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0047)]\n\nPerformance:\n Mass: 160.88 kg\n Factor of Safety: 1.00\n Max Deflection: 2.44e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 160.88342458986259, "fos_buckling": 1.0011711661863094, "fos_yielding": 2.7002314147421287, "deflection": 0.002437059629971104, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_431": { "node_id": "node_431", "content": "MODIFICATION: Increase 9 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0019)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0047)]\n\nPerformance:\n Mass: 162.30 kg\n Factor of Safety: 1.00\n Max Deflection: 2.43e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 162.29611032567738, "fos_buckling": 1.0009912537156063, "fos_yielding": 2.6997461777300136, "deflection": 0.00242796711960711, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.225)" }, "parent_node_id": "node_430", "improvement_over_parent": null }, "node_432": { "node_id": "node_432", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0032)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0023)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 189.49 kg\n Factor of Safety: 1.15\n Max Deflection: 2.08e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 189.49126305965473, "fos_buckling": 1.1534493144669222, "fos_yielding": 3.1618831511782766, "deflection": 0.002083838065743807, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.183)" }, "parent_node_id": "node_431", "improvement_over_parent": null }, "node_433": { "node_id": "node_433", "content": "MODIFICATION: Increase 6 thickness by 58%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0023)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 196.93 kg\n Factor of Safety: 1.53\n Max Deflection: 2.04e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 196.92959329099835, "fos_buckling": 1.530516436176716, "fos_yielding": 4.262952856592302, "deflection": 0.002039649647464914, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.577)" }, "parent_node_id": "node_432", "improvement_over_parent": null }, "node_434": { "node_id": "node_434", "content": "MODIFICATION: Increase 13 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0023)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 200.43 kg\n Factor of Safety: 1.54\n Max Deflection: 2.02e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 200.42805601568534, "fos_buckling": 1.542421938198517, "fos_yielding": 4.248732027373776, "deflection": 0.0020237138255436056, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.318)" }, "parent_node_id": "node_433", "improvement_over_parent": null }, "node_435": { "node_id": "node_435", "content": "MODIFICATION: Increase 11 thickness by 47%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.83 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.828713435728, "fos_buckling": 1.5431281544315523, "fos_yielding": 4.250677359875365, "deflection": 0.0020078986781576543, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.471)" }, "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "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 61)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0011)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0030)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0022)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0036)]\n\nPerformance:\n Mass: 120.11 kg\n Factor of Safety: 0.90\n Max Deflection: 3.46e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 120.11218384612472, "fos_buckling": 0.8971976667073988, "fos_yielding": 1.8115315882527394, "deflection": 0.0034588001149698745, "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: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0013)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0034)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0024)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0040)]\n\nPerformance:\n Mass: 132.97 kg\n Factor of Safety: 0.98\n Max Deflection: 3.13e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 132.97254263284208, "fos_buckling": 0.9802994271890295, "fos_yielding": 2.0065496212902105, "deflection": 0.00312643488862359, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.114)" }, "parent_node_id": "node_437", "improvement_over_parent": null }, "node_439": { "node_id": "node_439", "content": "MODIFICATION: Increase 2 thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0013)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0034)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0024)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0040)]\n\nPerformance:\n Mass: 134.22 kg\n Factor of Safety: 0.98\n Max Deflection: 2.99e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 134.2227309938252, "fos_buckling": 0.980216072132364, "fos_yielding": 2.5745428079812176, "deflection": 0.002993012203792094, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.302)" }, "parent_node_id": "node_438", "improvement_over_parent": null }, "node_440": { "node_id": "node_440", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0048)]\n\nPerformance:\n Mass: 158.96 kg\n Factor of Safety: 1.13\n Max Deflection: 2.53e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 158.957113273527, "fos_buckling": 1.1317779415515916, "fos_yielding": 3.0431944846412726, "deflection": 0.0025318422465755996, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.199)" }, "parent_node_id": "node_439", "improvement_over_parent": null }, "node_441": { "node_id": "node_441", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0048)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n\nPerformance:\n Mass: 172.35 kg\n Factor of Safety: 1.19\n Max Deflection: 2.35e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 172.35485767231262, "fos_buckling": 1.1945420134782585, "fos_yielding": 3.3022462856734287, "deflection": 0.0023464568805162977, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003362)" }, "parent_node_id": "node_440", "improvement_over_parent": null }, "node_442": { "node_id": "node_442", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 198.77 kg\n Factor of Safety: 1.35\n Max Deflection: 2.04e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 198.77247435347698, "fos_buckling": 1.3534639664151387, "fos_yielding": 3.8133242984279594, "deflection": 0.0020381871183229377, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.168)" }, "parent_node_id": "node_441", "improvement_over_parent": null }, "node_443": { "node_id": "node_443", "content": "MODIFICATION: Increase 5 thickness by 47%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 199.93 kg\n Factor of Safety: 1.35\n Max Deflection: 2.03e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 199.92722079933912, "fos_buckling": 1.3530939064544014, "fos_yielding": 3.812281671010332, "deflection": 0.0020293483998615734, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.473)" }, "parent_node_id": "node_442", "improvement_over_parent": null }, "node_444": { "node_id": "node_444", "content": "MODIFICATION: Increase 6 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 203.96 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.9603433707108, "fos_buckling": 1.5438892552297974, "fos_yielding": 4.250653112183898, "deflection": 0.0020068274629775297, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.252)" }, "parent_node_id": "node_443", "improvement_over_parent": null }, "node_445": { "node_id": "node_445", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_444", "improvement_over_parent": null }, "node_446": { "node_id": "node_446", "content": "INITIAL DESIGN (Trace 62)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0045)]\n\nPerformance:\n Mass: 132.09 kg\n Factor of Safety: 0.29\n Max Deflection: 4.46e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 132.0931007972473, "fos_buckling": 0.2868817285971166, "fos_yielding": 2.066356711478194, "deflection": 0.004456306830947886, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_447": { "node_id": "node_447", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0045)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n\nPerformance:\n Mass: 147.61 kg\n Factor of Safety: 0.29\n Max Deflection: 3.91e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 147.61094631758866, "fos_buckling": 0.2859811072175979, "fos_yielding": 2.0598697001192985, "deflection": 0.003914829317302912, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.003484)" }, "parent_node_id": "node_446", "improvement_over_parent": null }, "node_448": { "node_id": "node_448", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0045)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0038)]\n\nPerformance:\n Mass: 165.65 kg\n Factor of Safety: 1.30\n Max Deflection: 2.46e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 165.64636005620883, "fos_buckling": 1.2992881356552652, "fos_yielding": 3.4620454255759405, "deflection": 0.002464964415130049, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.003756)" }, "parent_node_id": "node_447", "improvement_over_parent": null }, "node_449": { "node_id": "node_449", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n\nPerformance:\n Mass: 203.82 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.81624792670647, "fos_buckling": 1.5429502765231056, "fos_yielding": 4.2500454783023, "deflection": 0.0020081430991837645, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.253)" }, "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "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 63)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0015)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0016)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0032)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0029)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0021)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0035)]\n\nPerformance:\n Mass: 109.58 kg\n Factor of Safety: 0.66\n Max Deflection: 4.34e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 109.58046625996633, "fos_buckling": 0.6615426482280843, "fos_yielding": 1.500245150506975, "deflection": 0.004343280340056127, "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: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0018)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n\nPerformance:\n Mass: 132.80 kg\n Factor of Safety: 0.78\n Max Deflection: 3.59e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 132.79841790368027, "fos_buckling": 0.783790586845204, "fos_yielding": 1.8238014684796384, "deflection": 0.00358574536661653, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.227)" }, "parent_node_id": "node_451", "improvement_over_parent": null }, "node_453": { "node_id": "node_453", "content": "MODIFICATION: Increase 2 thickness by 55%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n\nPerformance:\n Mass: 134.84 kg\n Factor of Safety: 0.78\n Max Deflection: 3.36e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 134.841653053644, "fos_buckling": 0.7840116174246646, "fos_yielding": 2.7529063479499483, "deflection": 0.003360926093511157, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.546)" }, "parent_node_id": "node_452", "improvement_over_parent": null }, "node_454": { "node_id": "node_454", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n\nPerformance:\n Mass: 145.26 kg\n Factor of Safety: 1.03\n Max Deflection: 2.92e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 145.2633956047891, "fos_buckling": 1.0342636431374788, "fos_yielding": 2.7490059349237765, "deflection": 0.0029189998515262976, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.003082)" }, "parent_node_id": "node_453", "improvement_over_parent": null }, "node_455": { "node_id": "node_455", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0046)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0031)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0031)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0042)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0050)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n\nPerformance:\n Mass: 167.99 kg\n Factor of Safety: 1.17\n Max Deflection: 2.53e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 167.98783337074744, "fos_buckling": 1.167431574391788, "fos_yielding": 3.174479031760731, "deflection": 0.002528194893611771, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.170)" }, "parent_node_id": "node_454", "improvement_over_parent": null }, "node_456": { "node_id": "node_456", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0046)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0031)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0031)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0042)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0050)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n\nPerformance:\n Mass: 170.53 kg\n Factor of Safety: 1.17\n Max Deflection: 2.40e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 170.5332064553168, "fos_buckling": 1.1720965231380405, "fos_yielding": 3.1742048237548532, "deflection": 0.002404144716334589, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.001990)" }, "parent_node_id": "node_455", "improvement_over_parent": null }, "node_457": { "node_id": "node_457", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0046)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0031)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0031)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0042)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0050)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0035)]\n\nPerformance:\n Mass: 184.51 kg\n Factor of Safety: 1.42\n Max Deflection: 2.22e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 184.50996256078705, "fos_buckling": 1.4223251692597294, "fos_yielding": 3.851859743705136, "deflection": 0.002215536393313025, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003520)" }, "parent_node_id": "node_456", "improvement_over_parent": null }, "node_458": { "node_id": "node_458", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 203.99 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.98502106037594, "fos_buckling": 1.5440217894891584, "fos_yielding": 4.253447705976183, "deflection": 0.0020064636459259473, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.116)" }, "parent_node_id": "node_457", "improvement_over_parent": null }, "node_459": { "node_id": "node_459", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_458", "improvement_over_parent": null }, "node_460": { "node_id": "node_460", "content": "INITIAL DESIGN (Trace 64)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0022)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0021)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0048)]\n\nPerformance:\n Mass: 130.78 kg\n Factor of Safety: 0.08\n Max Deflection: 2.45e+13 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 130.77555249153679, "fos_buckling": 0.0819927742621667, "fos_yielding": 0.48534494248942783, "deflection": 24450079506313.277, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_461": { "node_id": "node_461", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0025)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 151.81 kg\n Factor of Safety: 0.30\n Max Deflection: 9.30e+12 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 151.80719607319256, "fos_buckling": 0.2977069826279345, "fos_yielding": 1.122582910588147, "deflection": 9299327599761.955, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.176)" }, "parent_node_id": "node_460", "improvement_over_parent": null }, "node_462": { "node_id": "node_462", "content": "MODIFICATION: Increase 6 thickness by 58%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0025)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 156.41 kg\n Factor of Safety: 0.79\n Max Deflection: 4.27e+12 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 156.41429280302708, "fos_buckling": 0.7938852870078253, "fos_yielding": 1.9919486944360203, "deflection": 4269913008734.825, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.580)" }, "parent_node_id": "node_461", "improvement_over_parent": null }, "node_463": { "node_id": "node_463", "content": "MODIFICATION: Increase 9 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 159.20 kg\n Factor of Safety: 0.82\n Max Deflection: 4.59e+12 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 159.2039036458915, "fos_buckling": 0.8226506738602689, "fos_yielding": 3.8827595399154227, "deflection": 4585838805012.988, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.359)" }, "parent_node_id": "node_462", "improvement_over_parent": null }, "node_464": { "node_id": "node_464", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M12: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n\nPerformance:\n Mass: 162.02 kg\n Factor of Safety: 1.52\n Max Deflection: 2.51e+12 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 162.01813553501154, "fos_buckling": 1.5174701682488925, "fos_yielding": 3.5892131848404194, "deflection": 2511326994575.492, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.002221)" }, "parent_node_id": "node_463", "improvement_over_parent": null }, "node_465": { "node_id": "node_465", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M12: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n\nPerformance:\n Mass: 181.12 kg\n Factor of Safety: 0.47\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": 181.12185485780495, "fos_buckling": 0.47401626902724453, "fos_yielding": 2.3243935231823407, "deflection": 0.005725671474772308, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.004368)" }, "parent_node_id": "node_464", "improvement_over_parent": null }, "node_466": { "node_id": "node_466", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M12: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 196.57 kg\n Factor of Safety: 0.47\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": 196.57275937154574, "fos_buckling": 0.47351989259449856, "fos_yielding": 2.321967987755255, "deflection": 0.005188837512717343, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003928)" }, "parent_node_id": "node_465", "improvement_over_parent": null }, "node_467": { "node_id": "node_467", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M12: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n\nPerformance:\n Mass: 203.80 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.80390515975415, "fos_buckling": 1.5427550095629987, "fos_yielding": 4.249315334408246, "deflection": 0.0020083217672105893, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.003560)" }, "parent_node_id": "node_466", "improvement_over_parent": null }, "node_468": { "node_id": "node_468", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_467", "improvement_over_parent": null }, "node_469": { "node_id": "node_469", "content": "INITIAL DESIGN (Trace 65)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0010)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0016)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0009)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0015)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0022)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0015)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0017)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0015)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0020)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0014)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0019)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0017)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0017)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0024)]\n\nPerformance:\n Mass: 89.04 kg\n Factor of Safety: 0.63\n Max Deflection: 4.87e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 89.03939715540753, "fos_buckling": 0.630430822093768, "fos_yielding": 1.579456970388251, "deflection": 0.004873717317212968, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_470": { "node_id": "node_470", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0012)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0018)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0011)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0018)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0025)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0017)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0017)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0023)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0017)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0021)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0019)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0019)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0028)]\n\nPerformance:\n Mass: 102.34 kg\n Factor of Safety: 0.72\n Max Deflection: 4.24e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 102.34213391802973, "fos_buckling": 0.7160402185032693, "fos_yielding": 1.8138408943972488, "deflection": 0.004243779500340886, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.156)" }, "parent_node_id": "node_469", "improvement_over_parent": null }, "node_471": { "node_id": "node_471", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0012)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0018)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0011)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0018)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0025)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0017)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0017)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0023)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0017)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0021)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0019)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0019)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0028)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0013)]\n\nPerformance:\n Mass: 104.31 kg\n Factor of Safety: 0.84\n Max Deflection: 3.91e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 104.3143782414896, "fos_buckling": 0.8444173949944003, "fos_yielding": 2.2031963817495597, "deflection": 0.0039104877210913306, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.001275)" }, "parent_node_id": "node_470", "improvement_over_parent": null }, "node_472": { "node_id": "node_472", "content": "MODIFICATION: Increase 0 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0015)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0018)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0011)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0018)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0025)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0017)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0017)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0023)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0017)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0021)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0019)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0019)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0028)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0013)]\n\nPerformance:\n Mass: 104.99 kg\n Factor of Safety: 0.87\n Max Deflection: 3.87e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 104.98584046044417, "fos_buckling": 0.8693957641694686, "fos_yielding": 2.2023142691099125, "deflection": 0.0038743424705277615, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.325)" }, "parent_node_id": "node_471", "improvement_over_parent": null }, "node_473": { "node_id": "node_473", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0030)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0022)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0025)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0036)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0017)]\n\nPerformance:\n Mass: 134.93 kg\n Factor of Safety: 1.09\n Max Deflection: 3.02e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 134.92638243361372, "fos_buckling": 1.088166758394147, "fos_yielding": 2.8252762445547552, "deflection": 0.0030203115594774673, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.302)" }, "parent_node_id": "node_472", "improvement_over_parent": null }, "node_474": { "node_id": "node_474", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n\nPerformance:\n Mass: 163.81 kg\n Factor of Safety: 1.29\n Max Deflection: 2.49e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 163.80653758755227, "fos_buckling": 1.2870448438756583, "fos_yielding": 3.424048251974912, "deflection": 0.002492337056446826, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.230)" }, "parent_node_id": "node_473", "improvement_over_parent": null }, "node_475": { "node_id": "node_475", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n\nPerformance:\n Mass: 203.94 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.94026934640053, "fos_buckling": 1.5437344004132012, "fos_yielding": 4.252693322290616, "deflection": 0.0020069179632786808, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.269)" }, "parent_node_id": "node_474", "improvement_over_parent": null }, "node_476": { "node_id": "node_476", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_475", "improvement_over_parent": null }, "node_477": { "node_id": "node_477", "content": "INITIAL DESIGN (Trace 66)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n\nPerformance:\n Mass: 160.80 kg\n Factor of Safety: 1.26\n Max Deflection: 2.54e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 160.799674641224, "fos_buckling": 1.2619955308932713, "fos_yielding": 3.3782324752433457, "deflection": 0.0025426718258248974, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_478": { "node_id": "node_478", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0045)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0042)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0035)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0049)]\n\nPerformance:\n Mass: 180.96 kg\n Factor of Safety: 1.39\n Max Deflection: 2.26e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 180.9573755893752, "fos_buckling": 1.3918412056777059, "fos_yielding": 3.7969440673283708, "deflection": 0.0022622555079775007, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.136)" }, "parent_node_id": "node_477", "improvement_over_parent": null }, "node_479": { "node_id": "node_479", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.03 kg\n Factor of Safety: 1.53\n Max Deflection: 2.02e-03 m\n Status: FEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.03385708313166, "fos_buckling": 1.5270414679383195, "fos_yielding": 4.254296757108285, "deflection": 0.0020190278765469566, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.134)" }, "parent_node_id": "node_478", "improvement_over_parent": null }, "node_480": { "node_id": "node_480", "content": "MODIFICATION: Increase 0 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.96 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.9575703912533, "fos_buckling": 1.543859858735569, "fos_yielding": 4.253110813409612, "deflection": 0.0020067564932507785, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.222)" }, "parent_node_id": "node_479", "improvement_over_parent": null }, "node_481": { "node_id": "node_481", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_480", "improvement_over_parent": null }, "node_482": { "node_id": "node_482", "content": "INITIAL DESIGN (Trace 67)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0042)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0022)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0038)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0046)]\n\nPerformance:\n Mass: 156.86 kg\n Factor of Safety: 1.09\n Max Deflection: 2.81e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 156.86322978666593, "fos_buckling": 1.087204642360297, "fos_yielding": 2.914489179751208, "deflection": 0.0028065473063243426, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_483": { "node_id": "node_483", "content": "MODIFICATION: Increase 5 thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0042)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0022)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0038)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0046)]\n\nPerformance:\n Mass: 158.45 kg\n Factor of Safety: 1.09\n Max Deflection: 2.78e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 158.45235733023316, "fos_buckling": 1.0867394651211213, "fos_yielding": 2.914174581810858, "deflection": 0.0027822535249330486, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.267)" }, "parent_node_id": "node_482", "improvement_over_parent": null }, "node_484": { "node_id": "node_484", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0042)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0022)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0038)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0046)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n\nPerformance:\n Mass: 161.63 kg\n Factor of Safety: 1.09\n Max Deflection: 2.64e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 161.63321372090363, "fos_buckling": 1.0865068355408178, "fos_yielding": 3.3968851663898545, "deflection": 0.0026356410919739053, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002116)" }, "parent_node_id": "node_483", "improvement_over_parent": null }, "node_485": { "node_id": "node_485", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n\nPerformance:\n Mass: 194.83 kg\n Factor of Safety: 1.27\n Max Deflection: 2.19e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 194.83238630653506, "fos_buckling": 1.2652068153217744, "fos_yielding": 4.087114998850429, "deflection": 0.0021913049226076845, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.225)" }, "parent_node_id": "node_484", "improvement_over_parent": null }, "node_486": { "node_id": "node_486", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n\nPerformance:\n Mass: 197.65 kg\n Factor of Safety: 1.37\n Max Deflection: 2.06e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 197.6466181956551, "fos_buckling": 1.3712672489484357, "fos_yielding": 4.108534830121428, "deflection": 0.0020628193737590858, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.002221)" }, "parent_node_id": "node_485", "improvement_over_parent": null }, "node_487": { "node_id": "node_487", "content": "MODIFICATION: Increase 9 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0043)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n\nPerformance:\n Mass: 200.52 kg\n Factor of Safety: 1.38\n Max Deflection: 2.05e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 200.51663467020438, "fos_buckling": 1.3770982484907939, "fos_yielding": 4.109848409704004, "deflection": 0.0020531531756052316, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.287)" }, "parent_node_id": "node_486", "improvement_over_parent": null }, "node_488": { "node_id": "node_488", "content": "MODIFICATION: Increase 8 thickness by 52%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0072)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0043)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n\nPerformance:\n Mass: 210.54 kg\n Factor of Safety: 1.36\n Max Deflection: 2.01e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 210.53859349277042, "fos_buckling": 1.360239046962101, "fos_yielding": 4.103715295532893, "deflection": 0.002009645771023316, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.524)" }, "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "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 68)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0010)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0030)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0022)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0025)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0036)]\n\nPerformance:\n Mass: 104.42 kg\n Factor of Safety: 0.25\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": 104.41680142388654, "fos_buckling": 0.24755120373785516, "fos_yielding": 0.6729774721575786, "deflection": 18930285808830.7, "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 4 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0010)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0030)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0022)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0025)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0036)]\n\nPerformance:\n Mass: 105.22 kg\n Factor of Safety: 0.33\n Max Deflection: 5.96e+12 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 105.22492387619542, "fos_buckling": 0.32850743766721957, "fos_yielding": 0.8973032962101051, "deflection": 5956392124121.252, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.215)" }, "parent_node_id": "node_490", "improvement_over_parent": null }, "node_492": { "node_id": "node_492", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0038)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0045)]\n\nPerformance:\n Mass: 129.10 kg\n Factor of Safety: 0.25\n Max Deflection: 5.02e+12 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 129.10286111590972, "fos_buckling": 0.2544257847791233, "fos_yielding": 1.0071558382716252, "deflection": 5018674964256.134, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.244)" }, "parent_node_id": "node_491", "improvement_over_parent": null }, "node_493": { "node_id": "node_493", "content": "MODIFICATION: Increase 3 thickness by 38%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0038)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0045)]\n\nPerformance:\n Mass: 129.70 kg\n Factor of Safety: 0.25\n Max Deflection: 9.29e+12 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 129.69892382677799, "fos_buckling": 0.2544257847791233, "fos_yielding": 0.758034845820182, "deflection": 9287440880100.293, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.379)" }, "parent_node_id": "node_492", "improvement_over_parent": null }, "node_494": { "node_id": "node_494", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0038)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0045)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n\nPerformance:\n Mass: 137.53 kg\n Factor of Safety: 0.96\n Max Deflection: 2.20e+12 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 137.5302041543352, "fos_buckling": 0.9567468670562415, "fos_yielding": 1.8610347077891378, "deflection": 2196061684887.1382, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.002730)" }, "parent_node_id": "node_493", "improvement_over_parent": null }, "node_495": { "node_id": "node_495", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0038)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0045)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n\nPerformance:\n Mass: 150.18 kg\n Factor of Safety: 0.83\n Max Deflection: 3.08e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 150.18459155213986, "fos_buckling": 0.8330123094870382, "fos_yielding": 2.669658678959031, "deflection": 0.0030842844704224402, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.003146)" }, "parent_node_id": "node_494", "improvement_over_parent": null }, "node_496": { "node_id": "node_496", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n\nPerformance:\n Mass: 185.06 kg\n Factor of Safety: 0.99\n Max Deflection: 2.51e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 185.0582931159525, "fos_buckling": 0.9935097457305093, "fos_yielding": 3.2827754218776724, "deflection": 0.0025070214025598525, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.255)" }, "parent_node_id": "node_495", "improvement_over_parent": null }, "node_497": { "node_id": "node_497", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n\nPerformance:\n Mass: 204.16 kg\n Factor of Safety: 1.55\n Max Deflection: 2.00e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.1620124387459, "fos_buckling": 1.5452920507865167, "fos_yielding": 4.257950084513583, "deflection": 0.002004627604221481, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.004368)" }, "parent_node_id": "node_496", "improvement_over_parent": null }, "node_498": { "node_id": "node_498", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_497", "improvement_over_parent": null }, "node_499": { "node_id": "node_499", "content": "INITIAL DESIGN (Trace 69)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0015)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0012)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0011)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0018)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0013)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0017)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0017)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0023)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0017)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0022)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0020)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0015)]\n\nPerformance:\n Mass: 86.29 kg\n Factor of Safety: 0.18\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": 86.29417642288053, "fos_buckling": 0.17947800636312028, "fos_yielding": 0.904305961913431, "deflection": 0.012085064492046918, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_500": { "node_id": "node_500", "content": "MODIFICATION: Increase 14 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0015)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0012)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0011)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0018)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0013)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0017)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0017)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0023)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0017)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0022)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0020)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0019)]\n\nPerformance:\n Mass: 88.03 kg\n Factor of Safety: 0.18\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": 88.03162837663477, "fos_buckling": 0.17942489529197103, "fos_yielding": 0.90419875754518, "deflection": 0.011208339569266321, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.290)" }, "parent_node_id": "node_499", "improvement_over_parent": null }, "node_501": { "node_id": "node_501", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0014)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0027)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0019)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0025)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0023)]\n\nPerformance:\n Mass: 102.33 kg\n Factor of Safety: 0.21\n Max Deflection: 9.65e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 102.33490854580427, "fos_buckling": 0.2054199492384272, "fos_yielding": 1.0500956615647967, "deflection": 0.009649000999362526, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.171)" }, "parent_node_id": "node_500", "improvement_over_parent": null }, "node_502": { "node_id": "node_502", "content": "MODIFICATION: Increase 1 thickness by 51%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0027)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0019)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0025)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0023)]\n\nPerformance:\n Mass: 103.85 kg\n Factor of Safety: 0.21\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": 103.85344377561051, "fos_buckling": 0.2053881131559364, "fos_yielding": 1.0499326284035126, "deflection": 0.009412158400145193, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.511)" }, "parent_node_id": "node_501", "improvement_over_parent": null }, "node_503": { "node_id": "node_503", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n\nPerformance:\n Mass: 134.67 kg\n Factor of Safety: 0.26\n Max Deflection: 7.27e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 134.6703488983829, "fos_buckling": 0.2577021589885099, "fos_yielding": 1.358859348516499, "deflection": 0.007271844136835981, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.318)" }, "parent_node_id": "node_502", "improvement_over_parent": null }, "node_504": { "node_id": "node_504", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0043)]\n\nPerformance:\n Mass: 159.10 kg\n Factor of Safety: 1.26\n Max Deflection: 2.57e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 159.09721664003848, "fos_buckling": 1.2555584855954351, "fos_yielding": 3.3264785681847537, "deflection": 0.0025653300302170387, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.004271)" }, "parent_node_id": "node_503", "improvement_over_parent": null }, "node_505": { "node_id": "node_505", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n\nPerformance:\n Mass: 203.88 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.8842311256601, "fos_buckling": 1.5435464903405482, "fos_yielding": 4.251446584278585, "deflection": 0.002007446311073249, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.309)" }, "parent_node_id": "node_504", "improvement_over_parent": null }, "node_506": { "node_id": "node_506", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_505", "improvement_over_parent": null }, "node_507": { "node_id": "node_507", "content": "INITIAL DESIGN (Trace 70)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0025)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0042)]\n\nPerformance:\n Mass: 127.48 kg\n Factor of Safety: 0.28\n Max Deflection: 3.70e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 127.4825672088115, "fos_buckling": 0.2755226401797185, "fos_yielding": 1.9716196253358629, "deflection": 0.003701096446226806, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_508": { "node_id": "node_508", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0025)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0042)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n\nPerformance:\n Mass: 144.68 kg\n Factor of Safety: 0.77\n Max Deflection: 2.86e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 144.68080445769124, "fos_buckling": 0.7716723527638013, "fos_yielding": 2.7193297734729125, "deflection": 0.002863985889586906, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.003569)" }, "parent_node_id": "node_507", "improvement_over_parent": null }, "node_509": { "node_id": "node_509", "content": "MODIFICATION: Increase 7 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0025)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0042)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n\nPerformance:\n Mass: 145.91 kg\n Factor of Safety: 0.77\n Max Deflection: 2.83e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 145.90955778637857, "fos_buckling": 0.7718022929294721, "fos_yielding": 2.7191025444608288, "deflection": 0.002834170211485088, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.211)" }, "parent_node_id": "node_508", "improvement_over_parent": null }, "node_510": { "node_id": "node_510", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n\nPerformance:\n Mass: 188.32 kg\n Factor of Safety: 0.96\n Max Deflection: 2.20e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 188.31536538954848, "fos_buckling": 0.9568969102788847, "fos_yielding": 3.500426345448113, "deflection": 0.002201393066651621, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.319)" }, "parent_node_id": "node_509", "improvement_over_parent": null }, "node_511": { "node_id": "node_511", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n\nPerformance:\n Mass: 203.90 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.89670202200102, "fos_buckling": 1.5434516985930071, "fos_yielding": 4.2517402534399595, "deflection": 0.002007358901171949, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.003945)" }, "parent_node_id": "node_510", "improvement_over_parent": null }, "node_512": { "node_id": "node_512", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_511", "improvement_over_parent": null }, "node_513": { "node_id": "node_513", "content": "INITIAL DESIGN (Trace 71)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0038)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0045)]\n\nPerformance:\n Mass: 138.80 kg\n Factor of Safety: 0.54\n Max Deflection: 5.74e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 138.79625983596063, "fos_buckling": 0.5367496091668023, "fos_yielding": 1.940619007663656, "deflection": 0.005743363677174875, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_514": { "node_id": "node_514", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0038)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0045)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n\nPerformance:\n Mass: 154.51 kg\n Factor of Safety: 0.87\n Max Deflection: 3.19e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 154.51246623340467, "fos_buckling": 0.8655182071429338, "fos_yielding": 2.8191499089526535, "deflection": 0.003189272007643035, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.003532)" }, "parent_node_id": "node_513", "improvement_over_parent": null }, "node_515": { "node_id": "node_515", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n\nPerformance:\n Mass: 187.72 kg\n Factor of Safety: 1.02\n Max Deflection: 2.63e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 187.7205463757748, "fos_buckling": 1.019831858934629, "fos_yielding": 3.4201556810040215, "deflection": 0.0026294689834425546, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.236)" }, "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 201.04 kg\n Factor of Safety: 1.26\n Max Deflection: 2.13e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 201.04408044742004, "fos_buckling": 1.2640725960471846, "fos_yielding": 4.2331804987974015, "deflection": 0.0021295794621570274, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.004024)" }, "parent_node_id": "node_515", "improvement_over_parent": null }, "node_517": { "node_id": "node_517", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n\nPerformance:\n Mass: 203.86 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.85831233654008, "fos_buckling": 1.5432395753238877, "fos_yielding": 4.25099435005763, "deflection": 0.002007725527410071, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.002221)" }, "parent_node_id": "node_516", "improvement_over_parent": null }, "node_518": { "node_id": "node_518", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_517", "improvement_over_parent": null }, "node_519": { "node_id": "node_519", "content": "INITIAL DESIGN (Trace 72)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 168.74 kg\n Factor of Safety: 0.32\n Max Deflection: 5.76e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 168.73672387052036, "fos_buckling": 0.31689689601742893, "fos_yielding": 1.7383507249209453, "deflection": 0.005760842056515198, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_520": { "node_id": "node_520", "content": "MODIFICATION: Increase 13 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 171.06 kg\n Factor of Safety: 0.32\n Max Deflection: 5.76e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 171.06349767133094, "fos_buckling": 0.31682204081859583, "fos_yielding": 1.7379388972293839, "deflection": 0.0057603801931468135, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.193)" }, "parent_node_id": "node_519", "improvement_over_parent": null }, "node_521": { "node_id": "node_521", "content": "MODIFICATION: Increase 1 thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 172.62 kg\n Factor of Safety: 0.32\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": 172.61540067919668, "fos_buckling": 0.31677213383026603, "fos_yielding": 1.7376643263734304, "deflection": 0.00568556250506505, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.276)" }, "parent_node_id": "node_520", "improvement_over_parent": null }, "node_522": { "node_id": "node_522", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n\nPerformance:\n Mass: 203.92 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.9249510241255, "fos_buckling": 1.5438531779468294, "fos_yielding": 4.252552287740235, "deflection": 0.002006964874938685, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.005592)" }, "parent_node_id": "node_521", "improvement_over_parent": null }, "node_523": { "node_id": "node_523", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_522", "improvement_over_parent": null }, "node_524": { "node_id": "node_524", "content": "INITIAL DESIGN (Trace 73)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0019)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M3: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0032)]\n M4: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0030)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0021)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0020)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0025)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0035)]\n\nPerformance:\n Mass: 120.04 kg\n Factor of Safety: 0.24\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": 120.04051805537694, "fos_buckling": 0.24491077893179192, "fos_yielding": 1.2478010425542858, "deflection": 0.010592964143572341, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_525": { "node_id": "node_525", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M4: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0023)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n\nPerformance:\n Mass: 142.71 kg\n Factor of Safety: 0.29\n Max Deflection: 8.92e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 142.71119606151015, "fos_buckling": 0.2873333997001419, "fos_yielding": 1.4837538990254466, "deflection": 0.008924790319574478, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.202)" }, "parent_node_id": "node_524", "improvement_over_parent": null }, "node_526": { "node_id": "node_526", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M4: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0023)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n\nPerformance:\n Mass: 144.90 kg\n Factor of Safety: 0.29\n Max Deflection: 8.21e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 144.90276035900277, "fos_buckling": 0.2873119874768082, "fos_yielding": 1.4835333239498223, "deflection": 0.008214721832067891, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.001693)" }, "parent_node_id": "node_525", "improvement_over_parent": null }, "node_527": { "node_id": "node_527", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M4: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0023)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n\nPerformance:\n Mass: 150.53 kg\n Factor of Safety: 1.03\n Max Deflection: 2.89e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 150.5345765538845, "fos_buckling": 1.0327148030899624, "fos_yielding": 2.7357166586253983, "deflection": 0.0028928936362817574, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.002714)" }, "parent_node_id": "node_526", "improvement_over_parent": null }, "node_528": { "node_id": "node_528", "content": "MODIFICATION: Increase 1 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M4: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0023)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n\nPerformance:\n Mass: 151.64 kg\n Factor of Safety: 1.03\n Max Deflection: 2.84e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 151.63860584832008, "fos_buckling": 1.0325985765312968, "fos_yielding": 2.7354087682651906, "deflection": 0.002836595041783437, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.241)" }, "parent_node_id": "node_527", "improvement_over_parent": null }, "node_529": { "node_id": "node_529", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M4: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0023)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n\nPerformance:\n Mass: 154.62 kg\n Factor of Safety: 1.06\n Max Deflection: 2.63e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 154.62335639394487, "fos_buckling": 1.0599439678046518, "fos_yielding": 3.3053839003262033, "deflection": 0.002626136133049635, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.001976)" }, "parent_node_id": "node_528", "improvement_over_parent": null }, "node_530": { "node_id": "node_530", "content": "MODIFICATION: Increase 12 thickness by 42%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M4: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0023)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0060)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n\nPerformance:\n Mass: 163.83 kg\n Factor of Safety: 1.08\n Max Deflection: 2.42e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 163.83306820380443, "fos_buckling": 1.0794054247805736, "fos_yielding": 3.168583219179346, "deflection": 0.002424191394239425, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.418)" }, "parent_node_id": "node_529", "improvement_over_parent": null }, "node_531": { "node_id": "node_531", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M4: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0079)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n\nPerformance:\n Mass: 210.06 kg\n Factor of Safety: 1.35\n Max Deflection: 1.90e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 210.0638014126894, "fos_buckling": 1.3539146977055936, "fos_yielding": 4.063090570599006, "deflection": 0.0018964014027129782, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.312)" }, "parent_node_id": "node_530", "improvement_over_parent": null }, "node_532": { "node_id": "node_532", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_531", "improvement_over_parent": null }, "node_533": { "node_id": "node_533", "content": "INITIAL DESIGN (Trace 74)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0012)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0014)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0009)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0011)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0020)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0013)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0013)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0018)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0013)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0015)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0015)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0022)]\n\nPerformance:\n Mass: 73.54 kg\n Factor of Safety: 0.41\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": 73.54344866092465, "fos_buckling": 0.41255377354639783, "fos_yielding": 1.0653890085697875, "deflection": 0.006563775703003277, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_534": { "node_id": "node_534", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0016)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0019)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0011)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0014)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0018)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0017)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0024)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0017)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0020)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0020)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0029)]\n\nPerformance:\n Mass: 95.91 kg\n Factor of Safety: 0.53\n Max Deflection: 5.04e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 95.90708072114762, "fos_buckling": 0.5299673908636091, "fos_yielding": 1.39075633083683, "deflection": 0.0050368432089853, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.318)" }, "parent_node_id": "node_533", "improvement_over_parent": null }, "node_535": { "node_id": "node_535", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0017)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0031)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0029)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0021)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0024)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0034)]\n\nPerformance:\n Mass: 113.89 kg\n Factor of Safety: 0.62\n Max Deflection: 4.24e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 113.89076072023998, "fos_buckling": 0.6216587057254878, "fos_yielding": 1.6529936463769648, "deflection": 0.004243912370405145, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.198)" }, "parent_node_id": "node_534", "improvement_over_parent": null }, "node_536": { "node_id": "node_536", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n\nPerformance:\n Mass: 142.24 kg\n Factor of Safety: 0.76\n Max Deflection: 3.40e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 142.2406532989749, "fos_buckling": 0.7612563076768608, "fos_yielding": 2.0676226316863895, "deflection": 0.003401023797924528, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.267)" }, "parent_node_id": "node_535", "improvement_over_parent": null }, "node_537": { "node_id": "node_537", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n\nPerformance:\n Mass: 145.28 kg\n Factor of Safety: 0.76\n Max Deflection: 3.28e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 145.27602524253248, "fos_buckling": 0.7610991379843675, "fos_yielding": 2.0671957483752927, "deflection": 0.0032830488508742983, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002012)" }, "parent_node_id": "node_536", "improvement_over_parent": null }, "node_538": { "node_id": "node_538", "content": "MODIFICATION: Increase 4 thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n\nPerformance:\n Mass: 146.46 kg\n Factor of Safety: 0.82\n Max Deflection: 3.16e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 146.45850492791632, "fos_buckling": 0.8150904853729916, "fos_yielding": 2.604309232567227, "deflection": 0.003162099658847505, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.279)" }, "parent_node_id": "node_537", "improvement_over_parent": null }, "node_539": { "node_id": "node_539", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n\nPerformance:\n Mass: 185.01 kg\n Factor of Safety: 0.99\n Max Deflection: 2.51e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 185.00972145629828, "fos_buckling": 0.993253718369641, "fos_yielding": 3.2823033884805697, "deflection": 0.0025075829721714895, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.289)" }, "parent_node_id": "node_538", "improvement_over_parent": null }, "node_540": { "node_id": "node_540", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n\nPerformance:\n Mass: 204.11 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.1134407790917, "fos_buckling": 1.5448752898521614, "fos_yielding": 4.256553156772737, "deflection": 0.002005166071540493, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.004368)" }, "parent_node_id": "node_539", "improvement_over_parent": null }, "node_541": { "node_id": "node_541", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_540", "improvement_over_parent": null }, "node_542": { "node_id": "node_542", "content": "INITIAL DESIGN (Trace 75)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0027)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0019)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0025)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0023)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0032)]\n\nPerformance:\n Mass: 113.93 kg\n Factor of Safety: 0.63\n Max Deflection: 4.06e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 113.92963438624476, "fos_buckling": 0.6294260720170501, "fos_yielding": 2.0871475081483104, "deflection": 0.0040600742519153995, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_543": { "node_id": "node_543", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0035)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0025)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0042)]\n\nPerformance:\n Mass: 145.77 kg\n Factor of Safety: 0.78\n Max Deflection: 3.18e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 145.76552621226267, "fos_buckling": 0.7831503360347728, "fos_yielding": 2.666849901568152, "deflection": 0.0031778397323614558, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.299)" }, "parent_node_id": "node_542", "improvement_over_parent": null }, "node_544": { "node_id": "node_544", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0035)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0025)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0042)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n\nPerformance:\n Mass: 155.96 kg\n Factor of Safety: 1.23\n Max Deflection: 2.62e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 155.95685239843, "fos_buckling": 1.2341698790303735, "fos_yielding": 3.2615064187017784, "deflection": 0.0026165005435950317, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.003009)" }, "parent_node_id": "node_543", "improvement_over_parent": null }, "node_545": { "node_id": "node_545", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0047)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n\nPerformance:\n Mass: 172.56 kg\n Factor of Safety: 1.35\n Max Deflection: 2.37e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 172.563291001742, "fos_buckling": 1.3450047081264946, "fos_yielding": 3.6051903171041255, "deflection": 0.0023671749725858657, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.115)" }, "parent_node_id": "node_544", "improvement_over_parent": null }, "node_546": { "node_id": "node_546", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 203.83 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.82981423149897, "fos_buckling": 1.5430655517621523, "fos_yielding": 4.250417032221976, "deflection": 0.002007999499374899, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.199)" }, "parent_node_id": "node_545", "improvement_over_parent": null }, "node_547": { "node_id": "node_547", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_546", "improvement_over_parent": null }, "node_548": { "node_id": "node_548", "content": "INITIAL DESIGN (Trace 76)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n\nPerformance:\n Mass: 167.64 kg\n Factor of Safety: 0.32\n Max Deflection: 6.12e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 167.63957785416295, "fos_buckling": 0.316918448266166, "fos_yielding": 1.7380846351793264, "deflection": 0.006121689855816453, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_549": { "node_id": "node_549", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n\nPerformance:\n Mass: 198.95 kg\n Factor of Safety: 1.26\n Max Deflection: 2.14e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 198.94912819909177, "fos_buckling": 1.2646618881051817, "fos_yielding": 4.194050240483946, "deflection": 0.0021361600234088185, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.005592)" }, "parent_node_id": "node_548", "improvement_over_parent": null }, "node_550": { "node_id": "node_550", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n\nPerformance:\n Mass: 201.76 kg\n Factor of Safety: 1.53\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 201.7633600882118, "fos_buckling": 1.5286390337674725, "fos_yielding": 4.21064484177314, "deflection": 0.0020148089268504873, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.002221)" }, "parent_node_id": "node_549", "improvement_over_parent": null }, "node_551": { "node_id": "node_551", "content": "MODIFICATION: Increase 14 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0066)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n\nPerformance:\n Mass: 206.77 kg\n Factor of Safety: 1.58\n Max Deflection: 1.94e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 206.76703973441118, "fos_buckling": 1.5783473458588375, "fos_yielding": 4.1268415563592065, "deflection": 0.0019365533447197754, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.179)" }, "parent_node_id": "node_550", "improvement_over_parent": null }, "node_552": { "node_id": "node_552", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_551", "improvement_over_parent": null }, "node_553": { "node_id": "node_553", "content": "INITIAL DESIGN (Trace 77)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0017)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0020)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0012)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0012)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0014)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0019)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0019)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0026)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0022)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0022)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0031)]\n\nPerformance:\n Mass: 98.52 kg\n Factor of Safety: 0.47\n Max Deflection: 4.76e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 98.51665008942598, "fos_buckling": 0.4692948265497205, "fos_yielding": 1.221308218492941, "deflection": 0.0047636535401526185, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_554": { "node_id": "node_554", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0017)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0020)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0012)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0012)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0014)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0019)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0019)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0026)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0022)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0022)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0031)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0024)]\n\nPerformance:\n Mass: 109.53 kg\n Factor of Safety: 0.67\n Max Deflection: 3.85e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 109.52546330383147, "fos_buckling": 0.6706475914159207, "fos_yielding": 1.7453152448548925, "deflection": 0.00384939311318074, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.002419)" }, "parent_node_id": "node_553", "improvement_over_parent": null }, "node_555": { "node_id": "node_555", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0017)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0020)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0012)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0012)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0014)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0019)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0019)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0026)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0022)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0022)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0031)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0024)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0019)]\n\nPerformance:\n Mass: 116.05 kg\n Factor of Safety: 0.69\n Max Deflection: 3.63e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 116.05335103495027, "fos_buckling": 0.6926395231195509, "fos_yielding": 1.8025477678035204, "deflection": 0.0036270885068226274, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.001863)" }, "parent_node_id": "node_554", "improvement_over_parent": null }, "node_556": { "node_id": "node_556", "content": "MODIFICATION: Increase 4 thickness by 58%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0017)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0020)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0012)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0014)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0019)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0019)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0026)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0022)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0022)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0031)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0024)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0019)]\n\nPerformance:\n Mass: 117.54 kg\n Factor of Safety: 0.96\n Max Deflection: 3.46e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 117.53907267572477, "fos_buckling": 0.9627158652650053, "fos_yielding": 2.4638636605558317, "deflection": 0.0034633993886228676, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.582)" }, "parent_node_id": "node_555", "improvement_over_parent": null }, "node_557": { "node_id": "node_557", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0029)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0041)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0032)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0024)]\n\nPerformance:\n Mass: 152.10 kg\n Factor of Safety: 1.21\n Max Deflection: 2.68e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 152.0995285946667, "fos_buckling": 1.2078968408836477, "fos_yielding": 3.181685790248411, "deflection": 0.002682268515773272, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.314)" }, "parent_node_id": "node_556", "improvement_over_parent": null }, "node_558": { "node_id": "node_558", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0041)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0048)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n\nPerformance:\n Mass: 177.81 kg\n Factor of Safety: 1.38\n Max Deflection: 2.30e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 177.80766028888328, "fos_buckling": 1.3792284285565397, "fos_yielding": 3.71370934253741, "deflection": 0.002298166397717146, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.183)" }, "parent_node_id": "node_557", "improvement_over_parent": null }, "node_559": { "node_id": "node_559", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n\nPerformance:\n Mass: 203.71 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.70599644007478, "fos_buckling": 1.5423462509672072, "fos_yielding": 4.248008196915182, "deflection": 0.0020092500185184808, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.160)" }, "parent_node_id": "node_558", "improvement_over_parent": null }, "node_560": { "node_id": "node_560", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_559", "improvement_over_parent": null }, "node_561": { "node_id": "node_561", "content": "INITIAL DESIGN (Trace 78)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0010)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 125.78 kg\n Factor of Safety: 0.10\n Max Deflection: 1.63e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 125.7805918716582, "fos_buckling": 0.09820472179238358, "fos_yielding": 0.6314251932936825, "deflection": 0.01628841056924768, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_562": { "node_id": "node_562", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0010)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n\nPerformance:\n Mass: 157.09 kg\n Factor of Safety: 0.34\n Max Deflection: 3.10e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 157.09014221658703, "fos_buckling": 0.3406079767455294, "fos_yielding": 2.536404848440962, "deflection": 0.003099970608916586, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.005592)" }, "parent_node_id": "node_561", "improvement_over_parent": null }, "node_563": { "node_id": "node_563", "content": "MODIFICATION: Increase 11 thickness by 64%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0017)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n\nPerformance:\n Mass: 159.71 kg\n Factor of Safety: 0.34\n Max Deflection: 3.10e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 159.70563894440542, "fos_buckling": 0.3404278209754912, "fos_yielding": 2.5350632827707575, "deflection": 0.0030991454305716033, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.637)" }, "parent_node_id": "node_562", "improvement_over_parent": null }, "node_564": { "node_id": "node_564", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0017)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 173.03 kg\n Factor of Safety: 0.34\n Max Deflection: 3.10e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 173.02917301605066, "fos_buckling": 0.3398174231177178, "fos_yielding": 2.5305178340683305, "deflection": 0.0031007329928709527, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.004024)" }, "parent_node_id": "node_563", "improvement_over_parent": null }, "node_565": { "node_id": "node_565", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0017)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n\nPerformance:\n Mass: 195.23 kg\n Factor of Safety: 1.35\n Max Deflection: 2.06e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 195.23215769976446, "fos_buckling": 1.3488089456965562, "fos_yielding": 4.085851225073042, "deflection": 0.0020598912395421135, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.004709)" }, "parent_node_id": "node_564", "improvement_over_parent": null }, "node_566": { "node_id": "node_566", "content": "MODIFICATION: Increase 13 thickness by 57%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0017)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0088)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n\nPerformance:\n Mass: 210.53 kg\n Factor of Safety: 1.37\n Max Deflection: 1.88e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 210.5312615113547, "fos_buckling": 1.365887642165488, "fos_yielding": 4.087068901592424, "deflection": 0.0018758636691770369, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.570)" }, "parent_node_id": "node_565", "improvement_over_parent": null }, "node_567": { "node_id": "node_567", "content": "MODIFICATION: Increase 13 thickness by 52%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0017)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0133)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n\nPerformance:\n Mass: 229.22 kg\n Factor of Safety: 1.38\n Max Deflection: 1.76e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 229.22203292039885, "fos_buckling": 1.3760974032157534, "fos_yielding": 3.9597835708304467, "deflection": 0.0017598767197131136, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.520)" }, "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "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 79)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0016)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0032)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0029)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0035)]\n\nPerformance:\n Mass: 97.54 kg\n Factor of Safety: 0.63\n Max Deflection: 8.97e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 97.54130633290333, "fos_buckling": 0.6265097217249193, "fos_yielding": 1.154181960086198, "deflection": 8973797777043.3, "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 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0016)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0032)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0029)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0035)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n\nPerformance:\n Mass: 103.77 kg\n Factor of Safety: 0.66\n Max Deflection: 4.11e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 103.7745651756504, "fos_buckling": 0.6585622436592988, "fos_yielding": 2.2743880609180414, "deflection": 0.004114571953794022, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.002140)" }, "parent_node_id": "node_569", "improvement_over_parent": null }, "node_571": { "node_id": "node_571", "content": "MODIFICATION: Increase 0 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0032)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0029)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0035)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n\nPerformance:\n Mass: 104.45 kg\n Factor of Safety: 0.66\n Max Deflection: 4.07e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 104.44735563266448, "fos_buckling": 0.6585926149357958, "fos_yielding": 2.274335906997101, "deflection": 0.004070639413604153, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.247)" }, "parent_node_id": "node_570", "improvement_over_parent": null }, "node_572": { "node_id": "node_572", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n\nPerformance:\n Mass: 130.11 kg\n Factor of Safety: 0.80\n Max Deflection: 3.27e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 130.106033675655, "fos_buckling": 0.7981280920648661, "fos_yielding": 2.82859797367008, "deflection": 0.0032740329741967576, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.264)" }, "parent_node_id": "node_571", "improvement_over_parent": null }, "node_573": { "node_id": "node_573", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n\nPerformance:\n Mass: 142.54 kg\n Factor of Safety: 0.80\n Max Deflection: 2.98e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 142.54480726482186, "fos_buckling": 0.7974483044047422, "fos_yielding": 2.826205372343254, "deflection": 0.0029750901643898573, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003103)" }, "parent_node_id": "node_572", "improvement_over_parent": null }, "node_574": { "node_id": "node_574", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 177.08 kg\n Factor of Safety: 0.96\n Max Deflection: 2.40e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 177.0782386539002, "fos_buckling": 0.9565262615024426, "fos_yielding": 3.503411613186827, "deflection": 0.002400272544311232, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.266)" }, "parent_node_id": "node_573", "improvement_over_parent": null }, "node_575": { "node_id": "node_575", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n\nPerformance:\n Mass: 188.40 kg\n Factor of Safety: 0.96\n Max Deflection: 2.20e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 188.40288065600706, "fos_buckling": 0.9572682159878794, "fos_yielding": 3.5020660190712523, "deflection": 0.002200344126083798, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.003363)" }, "parent_node_id": "node_574", "improvement_over_parent": null }, "node_576": { "node_id": "node_576", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n\nPerformance:\n Mass: 203.98 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.9842172884596, "fos_buckling": 1.544028943686307, "fos_yielding": 4.253693649499499, "deflection": 0.002006435878948915, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.003945)" }, "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "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 80)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 174.53 kg\n Factor of Safety: 1.01\n Max Deflection: 2.63e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 174.5298642257971, "fos_buckling": 1.0146208545576096, "fos_yielding": 3.4300624850242674, "deflection": 0.0026270232563313867, "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 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 187.85 kg\n Factor of Safety: 1.27\n Max Deflection: 2.16e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 187.85339829744234, "fos_buckling": 1.2671341471954773, "fos_yielding": 4.257725391509555, "deflection": 0.002157982357800726, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.004024)" }, "parent_node_id": "node_578", "improvement_over_parent": null }, "node_580": { "node_id": "node_580", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n\nPerformance:\n Mass: 199.18 kg\n Factor of Safety: 1.48\n Max Deflection: 2.03e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 199.1780402995492, "fos_buckling": 1.4828791793162324, "fos_yielding": 4.241083598762331, "deflection": 0.002029228045181848, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.003363)" }, "parent_node_id": "node_579", "improvement_over_parent": null }, "node_581": { "node_id": "node_581", "content": "MODIFICATION: Increase 13 thickness by 48%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0083)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n\nPerformance:\n Mass: 212.21 kg\n Factor of Safety: 1.51\n Max Deflection: 1.86e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 212.20923310055576, "fos_buckling": 1.5060926822221652, "fos_yielding": 4.082771798454377, "deflection": 0.0018632173941103953, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.481)" }, "parent_node_id": "node_580", "improvement_over_parent": null }, "node_582": { "node_id": "node_582", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_581", "improvement_over_parent": null }, "node_583": { "node_id": "node_583", "content": "INITIAL DESIGN (Trace 81)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0012)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0014)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0008)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0013)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0010)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0019)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0013)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0012)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0013)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0018)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0013)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0016)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0015)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0015)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0021)]\n\nPerformance:\n Mass: 79.58 kg\n Factor of Safety: 0.61\n Max Deflection: 5.11e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 79.58318695531408, "fos_buckling": 0.6142004867549998, "fos_yielding": 1.6694186026180349, "deflection": 0.0051075680658014735, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_584": { "node_id": "node_584", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0015)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0018)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0011)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0017)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0013)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0017)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0017)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0023)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0016)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0021)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0019)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0019)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0027)]\n\nPerformance:\n Mass: 102.39 kg\n Factor of Safety: 0.78\n Max Deflection: 3.98e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 102.39402388173588, "fos_buckling": 0.7807011028488839, "fos_yielding": 2.1451543779319793, "deflection": 0.003975132789954767, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.299)" }, "parent_node_id": "node_583", "improvement_over_parent": null }, "node_585": { "node_id": "node_585", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0032)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0030)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0021)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0025)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0035)]\n\nPerformance:\n Mass: 131.35 kg\n Factor of Safety: 0.99\n Max Deflection: 3.10e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 131.34853003663235, "fos_buckling": 0.9858192934867461, "fos_yielding": 2.747258209999984, "deflection": 0.0031042006212724177, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.299)" }, "parent_node_id": "node_584", "improvement_over_parent": null }, "node_586": { "node_id": "node_586", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nPerformance:\n Mass: 161.21 kg\n Factor of Safety: 1.19\n Max Deflection: 2.53e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 161.20679493107417, "fos_buckling": 1.1899649985696261, "fos_yielding": 3.3661005943664883, "deflection": 0.0025337424508767906, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.244)" }, "parent_node_id": "node_585", "improvement_over_parent": null }, "node_587": { "node_id": "node_587", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 201.05 kg\n Factor of Safety: 1.45\n Max Deflection: 2.04e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 201.04664794351123, "fos_buckling": 1.450528512475647, "fos_yielding": 4.188590787305692, "deflection": 0.0020364578977023888, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.271)" }, "parent_node_id": "node_586", "improvement_over_parent": null }, "node_588": { "node_id": "node_588", "content": "MODIFICATION: Increase 8 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.99 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.98956506925222, "fos_buckling": 1.5440425601960583, "fos_yielding": 4.253706017899751, "deflection": 0.002006448031388936, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.311)" }, "parent_node_id": "node_587", "improvement_over_parent": null }, "node_589": { "node_id": "node_589", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_588", "improvement_over_parent": null }, "node_590": { "node_id": "node_590", "content": "INITIAL DESIGN (Trace 82)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0009)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0016)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0009)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0015)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0011)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0014)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0014)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0020)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0014)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0013)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0017)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0017)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0024)]\n\nPerformance:\n Mass: 87.77 kg\n Factor of Safety: 0.62\n Max Deflection: 4.62e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 87.76779633201593, "fos_buckling": 0.622074026139108, "fos_yielding": 1.8995355629854975, "deflection": 0.004624769454077425, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_591": { "node_id": "node_591", "content": "MODIFICATION: Increase 12 thickness by 42%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0009)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0016)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0009)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0015)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0011)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0014)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0014)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0020)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0014)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0018)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0017)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0017)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0024)]\n\nPerformance:\n Mass: 90.20 kg\n Factor of Safety: 0.73\n Max Deflection: 4.52e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 90.20286629376851, "fos_buckling": 0.7293584314175963, "fos_yielding": 1.908790952790758, "deflection": 0.004522061740396046, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.416)" }, "parent_node_id": "node_590", "improvement_over_parent": null }, "node_592": { "node_id": "node_592", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0011)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0018)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0011)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0018)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0013)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0017)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0017)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0023)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0017)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0021)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0019)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0019)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0028)]\n\nPerformance:\n Mass: 104.28 kg\n Factor of Safety: 0.83\n Max Deflection: 3.91e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 104.28409551480839, "fos_buckling": 0.8321500605888581, "fos_yielding": 2.2048013757231475, "deflection": 0.003914837637314378, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.163)" }, "parent_node_id": "node_591", "improvement_over_parent": null }, "node_593": { "node_id": "node_593", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0014)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0032)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0029)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0021)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0025)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0035)]\n\nPerformance:\n Mass: 130.63 kg\n Factor of Safety: 1.02\n Max Deflection: 3.13e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 130.62703009140967, "fos_buckling": 1.016595282141831, "fos_yielding": 2.7571534092549004, "deflection": 0.0031303906902820575, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.267)" }, "parent_node_id": "node_592", "improvement_over_parent": null }, "node_594": { "node_id": "node_594", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0016)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0035)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0025)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0032)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0029)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0041)]\n\nPerformance:\n Mass: 152.75 kg\n Factor of Safety: 1.16\n Max Deflection: 2.68e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 152.74804441827268, "fos_buckling": 1.1636515501190652, "fos_yielding": 3.219553887449537, "deflection": 0.002680659746106363, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.181)" }, "parent_node_id": "node_593", "improvement_over_parent": null }, "node_595": { "node_id": "node_595", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0048)]\n\nPerformance:\n Mass: 174.65 kg\n Factor of Safety: 1.30\n Max Deflection: 2.35e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 174.645564213662, "fos_buckling": 1.3022643563590084, "fos_yielding": 3.6760004890532687, "deflection": 0.002347674616747287, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.155)" }, "parent_node_id": "node_594", "improvement_over_parent": null }, "node_596": { "node_id": "node_596", "content": "MODIFICATION: Increase 0 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0048)]\n\nPerformance:\n Mass: 175.89 kg\n Factor of Safety: 1.37\n Max Deflection: 2.32e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 175.894526394109, "fos_buckling": 1.3668245106561872, "fos_yielding": 3.6742515372820566, "deflection": 0.002322796514635388, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.387)" }, "parent_node_id": "node_595", "improvement_over_parent": null }, "node_597": { "node_id": "node_597", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 204.07 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.07317610538504, "fos_buckling": 1.5446145887916611, "fos_yielding": 4.255659539676503, "deflection": 0.002005607054939397, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.176)" }, "parent_node_id": "node_596", "improvement_over_parent": null }, "node_598": { "node_id": "node_598", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_597", "improvement_over_parent": null }, "node_599": { "node_id": "node_599", "content": "INITIAL DESIGN (Trace 83)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0035)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0041)]\n\nPerformance:\n Mass: 119.93 kg\n Factor of Safety: 0.90\n Max Deflection: 3.48e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 119.93003789527077, "fos_buckling": 0.8992677335870828, "fos_yielding": 2.4972730555615636, "deflection": 0.0034762636837652908, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_600": { "node_id": "node_600", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0047)]\n\nPerformance:\n Mass: 136.01 kg\n Factor of Safety: 1.00\n Max Deflection: 3.07e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 136.00876763291816, "fos_buckling": 1.0009293607453043, "fos_yielding": 2.829327572862559, "deflection": 0.003067927558032523, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.145)" }, "parent_node_id": "node_599", "improvement_over_parent": null }, "node_601": { "node_id": "node_601", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0047)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n\nPerformance:\n Mass: 145.75 kg\n Factor of Safety: 1.00\n Max Deflection: 3.02e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 145.75162759545492, "fos_buckling": 1.0005976942384598, "fos_yielding": 2.828390050965798, "deflection": 0.0030209133922122675, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.002854)" }, "parent_node_id": "node_600", "improvement_over_parent": null }, "node_602": { "node_id": "node_602", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0047)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n\nPerformance:\n Mass: 159.05 kg\n Factor of Safety: 0.87\n Max Deflection: 2.91e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 159.04628824753584, "fos_buckling": 0.8749571082146375, "fos_yielding": 2.8258346107819228, "deflection": 0.0029134709653593186, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003334)" }, "parent_node_id": "node_601", "improvement_over_parent": null }, "node_603": { "node_id": "node_603", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0047)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n\nPerformance:\n Mass: 175.48 kg\n Factor of Safety: 1.36\n Max Deflection: 2.33e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 175.48213295001034, "fos_buckling": 1.3641087434875754, "fos_yielding": 3.665635928130521, "deflection": 0.0023281747533296614, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.003707)" }, "parent_node_id": "node_602", "improvement_over_parent": null }, "node_604": { "node_id": "node_604", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n\nPerformance:\n Mass: 203.92 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.91708490926462, "fos_buckling": 1.5436277837098686, "fos_yielding": 4.252339093440078, "deflection": 0.0020071056985175124, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.178)" }, "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "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 84)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0015)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0030)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0028)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0020)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n\nPerformance:\n Mass: 94.52 kg\n Factor of Safety: 0.38\n Max Deflection: 6.88e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 94.51820716867002, "fos_buckling": 0.3752386273787113, "fos_yielding": 1.7897786436598364, "deflection": 6875099862585.703, "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 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0017)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0031)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0022)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n\nPerformance:\n Mass: 105.82 kg\n Factor of Safety: 0.22\n Max Deflection: 6.84e+12 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 105.82206789142796, "fos_buckling": 0.2158502227062566, "fos_yielding": 0.7790146127782084, "deflection": 6842485257481.41, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.127)" }, "parent_node_id": "node_606", "improvement_over_parent": null }, "node_608": { "node_id": "node_608", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0017)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0031)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0022)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0010)]\n\nPerformance:\n Mass: 107.17 kg\n Factor of Safety: 0.27\n Max Deflection: 6.55e+12 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 107.16783097574539, "fos_buckling": 0.2714011938300284, "fos_yielding": 0.9795009394396826, "deflection": 6554657975803.046, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.001012)" }, "parent_node_id": "node_607", "improvement_over_parent": null }, "node_609": { "node_id": "node_609", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0017)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0031)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0022)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0010)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0026)]\n\nPerformance:\n Mass: 117.76 kg\n Factor of Safety: 0.23\n Max Deflection: 8.28e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 117.75892704386678, "fos_buckling": 0.23047186200278247, "fos_yielding": 1.1953252945056059, "deflection": 0.008281586245788914, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.002613)" }, "parent_node_id": "node_608", "improvement_over_parent": null }, "node_610": { "node_id": "node_610", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0038)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0012)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n\nPerformance:\n Mass: 141.17 kg\n Factor of Safety: 0.27\n Max Deflection: 6.92e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 141.17037681012022, "fos_buckling": 0.269351630623147, "fos_yielding": 1.4307959358049314, "deflection": 0.0069181464353671, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.214)" }, "parent_node_id": "node_609", "improvement_over_parent": null }, "node_611": { "node_id": "node_611", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 171.90 kg\n Factor of Safety: 0.32\n Max Deflection: 5.69e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 171.9048863395975, "fos_buckling": 0.31694745130638013, "fos_yielding": 1.7388336990245008, "deflection": 0.0056920197038009355, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.239)" }, "parent_node_id": "node_610", "improvement_over_parent": null }, "node_612": { "node_id": "node_612", "content": "MODIFICATION: Increase 3 thickness by 46%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0052)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 174.79 kg\n Factor of Safety: 0.32\n Max Deflection: 5.66e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 174.79144909842364, "fos_buckling": 0.3168546123022211, "fos_yielding": 1.7383228699698734, "deflection": 0.0056591029467144005, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.460)" }, "parent_node_id": "node_611", "improvement_over_parent": null }, "node_613": { "node_id": "node_613", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0052)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n\nPerformance:\n Mass: 206.10 kg\n Factor of Safety: 1.31\n Max Deflection: 1.96e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 206.10099944335246, "fos_buckling": 1.3062356099845025, "fos_yielding": 4.2421793091769295, "deflection": 0.0019615881378741012, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.005592)" }, "parent_node_id": "node_612", "improvement_over_parent": null }, "node_614": { "node_id": "node_614", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_613", "improvement_over_parent": null }, "node_615": { "node_id": "node_615", "content": "INITIAL DESIGN (Trace 85)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n\nPerformance:\n Mass: 149.61 kg\n Factor of Safety: 0.78\n Max Deflection: 2.85e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 149.60835382247296, "fos_buckling": 0.7808423676185536, "fos_yielding": 2.7595100968588917, "deflection": 0.0028546480458602674, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_616": { "node_id": "node_616", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 190.49 kg\n Factor of Safety: 0.95\n Max Deflection: 2.25e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 190.49364357043083, "fos_buckling": 0.953211485787208, "fos_yielding": 3.5046100526560484, "deflection": 0.0022476362158351713, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.300)" }, "parent_node_id": "node_615", "improvement_over_parent": null }, "node_617": { "node_id": "node_617", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n\nPerformance:\n Mass: 200.14 kg\n Factor of Safety: 1.27\n Max Deflection: 2.18e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 200.13540849271385, "fos_buckling": 1.2713159312313291, "fos_yielding": 3.5023210312047355, "deflection": 0.002178714575131317, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.003423)" }, "parent_node_id": "node_616", "improvement_over_parent": null }, "node_618": { "node_id": "node_618", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n\nPerformance:\n Mass: 203.97 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.96781725943262, "fos_buckling": 1.5439145080637653, "fos_yielding": 4.253297012282876, "deflection": 0.0020066418412703698, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002592)" }, "parent_node_id": "node_617", "improvement_over_parent": null }, "node_619": { "node_id": "node_619", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_618", "improvement_over_parent": null }, "node_620": { "node_id": "node_620", "content": "INITIAL DESIGN (Trace 86)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 191.62 kg\n Factor of Safety: 1.28\n Max Deflection: 2.15e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 191.6235034921628, "fos_buckling": 1.2779217495860733, "fos_yielding": 3.209548294134071, "deflection": 0.0021457436081629656, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_621": { "node_id": "node_621", "content": "MODIFICATION: Increase 6 thickness by 35%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 196.88 kg\n Factor of Safety: 1.55\n Max Deflection: 2.11e-03 m\n Status: FEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 196.87608568406034, "fos_buckling": 1.5471817822559277, "fos_yielding": 3.189733769224251, "deflection": 0.0021141252608166514, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.353)" }, "parent_node_id": "node_620", "improvement_over_parent": null }, "node_622": { "node_id": "node_622", "content": "MODIFICATION: Increase 1 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 198.89 kg\n Factor of Safety: 1.48\n Max Deflection: 2.03e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 198.88901006216184, "fos_buckling": 1.4751303446313193, "fos_yielding": 4.230078776960751, "deflection": 0.0020310881289625333, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.387)" }, "parent_node_id": "node_621", "improvement_over_parent": null }, "node_623": { "node_id": "node_623", "content": "MODIFICATION: Increase 13 thickness by 52%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.91 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.9121742773409, "fos_buckling": 1.5436894188897425, "fos_yielding": 4.252541598653212, "deflection": 0.0020071959387790448, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.522)" }, "parent_node_id": "node_622", "improvement_over_parent": null }, "node_624": { "node_id": "node_624", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_623", "improvement_over_parent": null }, "node_625": { "node_id": "node_625", "content": "INITIAL DESIGN (Trace 87)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0032)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0021)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0024)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0034)]\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_626": { "node_id": "node_626", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0032)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0021)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0024)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n\nPerformance:\n Mass: 109.69 kg\n Factor of Safety: 0.23\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": 109.68685134993449, "fos_buckling": 0.23250343071213678, "fos_yielding": 1.6251183447120228, "deflection": 0.005996630686882911, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.002429)" }, "parent_node_id": "node_625", "improvement_over_parent": null }, "node_627": { "node_id": "node_627", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0036)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0024)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0028)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0039)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n\nPerformance:\n Mass: 124.61 kg\n Factor of Safety: 0.26\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": 124.6062528980785, "fos_buckling": 0.25983503979184247, "fos_yielding": 1.8432044568363328, "deflection": 0.005287031603050809, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.145)" }, "parent_node_id": "node_626", "improvement_over_parent": null }, "node_628": { "node_id": "node_628", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0048)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n\nPerformance:\n Mass: 149.70 kg\n Factor of Safety: 0.30\n Max Deflection: 4.41e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 149.70474053356347, "fos_buckling": 0.3035320232422748, "fos_yielding": 2.20851128051487, "deflection": 0.004412393905999208, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.218)" }, "parent_node_id": "node_627", "improvement_over_parent": null }, "node_629": { "node_id": "node_629", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n\nPerformance:\n Mass: 172.05 kg\n Factor of Safety: 0.34\n Max Deflection: 3.85e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 172.05313929821983, "fos_buckling": 0.3400477137437117, "fos_yielding": 2.532140847526542, "deflection": 0.0038483612460181358, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.164)" }, "parent_node_id": "node_628", "improvement_over_parent": null }, "node_630": { "node_id": "node_630", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n\nPerformance:\n Mass: 194.26 kg\n Factor of Safety: 0.88\n Max Deflection: 2.10e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 194.25612398193363, "fos_buckling": 0.8835262447686814, "fos_yielding": 4.038018636370965, "deflection": 0.002101243792418943, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.004709)" }, "parent_node_id": "node_629", "improvement_over_parent": null }, "node_631": { "node_id": "node_631", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n\nPerformance:\n Mass: 203.90 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.89788890421664, "fos_buckling": 1.5434492649444944, "fos_yielding": 4.2517257296713, "deflection": 0.0020073502145488862, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.003423)" }, "parent_node_id": "node_630", "improvement_over_parent": null }, "node_632": { "node_id": "node_632", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_631", "improvement_over_parent": null }, "node_633": { "node_id": "node_633", "content": "INITIAL DESIGN (Trace 88)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0031)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0029)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0015)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0018)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0034)]\n\nPerformance:\n Mass: 118.03 kg\n Factor of Safety: 0.65\n Max Deflection: 3.40e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 118.0345118626299, "fos_buckling": 0.6531192992890599, "fos_yielding": 2.5042238810317308, "deflection": 0.0034023769953156723, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_634": { "node_id": "node_634", "content": "MODIFICATION: Increase 13 thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0031)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0029)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0015)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0024)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0034)]\n\nPerformance:\n Mass: 120.18 kg\n Factor of Safety: 0.65\n Max Deflection: 3.39e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 120.18375921527864, "fos_buckling": 0.6494112453135608, "fos_yielding": 2.5068397449040747, "deflection": 0.003385100083180962, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.300)" }, "parent_node_id": "node_633", "improvement_over_parent": null }, "node_635": { "node_id": "node_635", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0031)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0029)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0015)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0024)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0034)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n\nPerformance:\n Mass: 126.25 kg\n Factor of Safety: 1.04\n Max Deflection: 3.20e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 126.24606632397459, "fos_buckling": 1.0397277304478896, "fos_yielding": 2.6844826369396437, "deflection": 0.0031997317180209764, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.002078)" }, "parent_node_id": "node_634", "improvement_over_parent": null }, "node_636": { "node_id": "node_636", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0019)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n\nPerformance:\n Mass: 161.41 kg\n Factor of Safety: 1.29\n Max Deflection: 2.51e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 161.41296526926013, "fos_buckling": 1.2870479636728809, "fos_yielding": 3.4243021161230347, "deflection": 0.002508456454871621, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.299)" }, "parent_node_id": "node_635", "improvement_over_parent": null }, "node_637": { "node_id": "node_637", "content": "MODIFICATION: Increase 11 thickness by 40%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0019)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0048)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n\nPerformance:\n Mass: 166.96 kg\n Factor of Safety: 1.29\n Max Deflection: 2.47e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 166.96251474337635, "fos_buckling": 1.2913392885275818, "fos_yielding": 3.4357195560286864, "deflection": 0.002466851671634768, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.401)" }, "parent_node_id": "node_636", "improvement_over_parent": null }, "node_638": { "node_id": "node_638", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0024)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0061)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n\nPerformance:\n Mass: 207.69 kg\n Factor of Safety: 1.55\n Max Deflection: 1.99e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 207.693346997648, "fos_buckling": 1.548535145001556, "fos_yielding": 4.266304123438015, "deflection": 0.0019873726140557327, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.269)" }, "parent_node_id": "node_637", "improvement_over_parent": null }, "node_639": { "node_id": "node_639", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_638", "improvement_over_parent": null }, "node_640": { "node_id": "node_640", "content": "INITIAL DESIGN (Trace 89)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0018)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nPerformance:\n Mass: 143.14 kg\n Factor of Safety: 0.39\n Max Deflection: 7.69e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 143.14393887006474, "fos_buckling": 0.39493960301359987, "fos_yielding": 1.1674823509139962, "deflection": 0.007692030054250601, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_641": { "node_id": "node_641", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0018)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n\nPerformance:\n Mass: 148.95 kg\n Factor of Safety: 1.06\n Max Deflection: 2.86e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 148.9475003165435, "fos_buckling": 1.0601406843905843, "fos_yielding": 2.3547687266188615, "deflection": 0.0028594052674972732, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.002803)" }, "parent_node_id": "node_640", "improvement_over_parent": null }, "node_642": { "node_id": "node_642", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0020)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0046)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0031)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0031)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0042)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0050)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0032)]\n\nPerformance:\n Mass: 168.01 kg\n Factor of Safety: 1.17\n Max Deflection: 2.54e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 168.0127558984453, "fos_buckling": 1.1729469857191852, "fos_yielding": 2.6618964629654505, "deflection": 0.0025369222588063215, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.139)" }, "parent_node_id": "node_641", "improvement_over_parent": null }, "node_643": { "node_id": "node_643", "content": "MODIFICATION: Increase 1 thickness by 65%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0046)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0031)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0031)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0042)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0050)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0032)]\n\nPerformance:\n Mass: 170.63 kg\n Factor of Safety: 1.17\n Max Deflection: 2.40e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 170.63429487694222, "fos_buckling": 1.1726339388901927, "fos_yielding": 3.176116486590148, "deflection": 0.0024026752337914584, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.650)" }, "parent_node_id": "node_642", "improvement_over_parent": null }, "node_644": { "node_id": "node_644", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0046)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0031)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0031)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0042)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0050)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0032)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0035)]\n\nPerformance:\n Mass: 184.63 kg\n Factor of Safety: 1.42\n Max Deflection: 2.21e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 184.62565052007255, "fos_buckling": 1.4230410899233414, "fos_yielding": 3.854352255127737, "deflection": 0.0022141233037573805, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003524)" }, "parent_node_id": "node_643", "improvement_over_parent": null }, "node_645": { "node_id": "node_645", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 203.95 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.94522983081347, "fos_buckling": 1.5437562523590884, "fos_yielding": 4.252741685563751, "deflection": 0.00200681345573451, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.115)" }, "parent_node_id": "node_644", "improvement_over_parent": null }, "node_646": { "node_id": "node_646", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_645", "improvement_over_parent": null }, "node_647": { "node_id": "node_647", "content": "INITIAL DESIGN (Trace 90)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0012)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0015)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0007)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0014)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0010)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0014)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0010)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0014)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0019)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0013)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0017)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0016)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0022)]\n\nPerformance:\n Mass: 77.14 kg\n Factor of Safety: 0.45\n Max Deflection: 5.25e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 77.13633709024819, "fos_buckling": 0.4469290135448266, "fos_yielding": 1.4891070890891467, "deflection": 0.005246132819203674, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_648": { "node_id": "node_648", "content": "MODIFICATION: Increase 8 thickness by 63%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0012)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0015)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0007)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0014)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0010)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0014)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0014)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0019)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0013)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0017)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0016)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0022)]\n\nPerformance:\n Mass: 79.27 kg\n Factor of Safety: 0.45\n Max Deflection: 5.20e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 79.26629893184021, "fos_buckling": 0.4467984873402147, "fos_yielding": 1.4886739710193626, "deflection": 0.005198827478376282, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.631)" }, "parent_node_id": "node_647", "improvement_over_parent": null }, "node_649": { "node_id": "node_649", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0016)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0019)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0009)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0018)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0013)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0018)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0024)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0017)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0023)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0020)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0029)]\n\nPerformance:\n Mass: 101.16 kg\n Factor of Safety: 0.56\n Max Deflection: 4.08e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 101.15752602219298, "fos_buckling": 0.5592034220000051, "fos_yielding": 1.8972361804248317, "deflection": 0.004078976391690517, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.289)" }, "parent_node_id": "node_648", "improvement_over_parent": null }, "node_650": { "node_id": "node_650", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0011)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0031)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0022)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0026)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0037)]\n\nPerformance:\n Mass: 127.29 kg\n Factor of Safety: 0.69\n Max Deflection: 3.25e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 127.29168378286445, "fos_buckling": 0.6871746714981611, "fos_yielding": 2.383536282638433, "deflection": 0.00324646844595867, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.274)" }, "parent_node_id": "node_649", "improvement_over_parent": null }, "node_651": { "node_id": "node_651", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0011)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0031)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0022)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0026)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0037)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n\nPerformance:\n Mass: 137.86 kg\n Factor of Safety: 0.96\n Max Deflection: 2.95e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 137.85990016602528, "fos_buckling": 0.9553078112835002, "fos_yielding": 2.895340291351829, "deflection": 0.0029549216282843617, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.002595)" }, "parent_node_id": "node_650", "improvement_over_parent": null }, "node_652": { "node_id": "node_652", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0047)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n\nPerformance:\n Mass: 173.10 kg\n Factor of Safety: 1.17\n Max Deflection: 2.36e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 173.10119892861124, "fos_buckling": 1.1699727005369056, "fos_yielding": 3.6276076215917232, "deflection": 0.002358583927823313, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.276)" }, "parent_node_id": "node_651", "improvement_over_parent": null }, "node_653": { "node_id": "node_653", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n\nPerformance:\n Mass: 203.37 kg\n Factor of Safety: 1.34\n Max Deflection: 2.01e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 203.36550093651576, "fos_buckling": 1.3448882026329134, "fos_yielding": 4.2539228963048625, "deflection": 0.0020114219468032536, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.192)" }, "parent_node_id": "node_652", "improvement_over_parent": null }, "node_654": { "node_id": "node_654", "content": "MODIFICATION: Increase 3 thickness by 34%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n\nPerformance:\n Mass: 204.03 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.0341148099872, "fos_buckling": 1.5443106350299887, "fos_yielding": 4.254661031421385, "deflection": 0.002005999556142445, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.342)" }, "parent_node_id": "node_653", "improvement_over_parent": null }, "node_655": { "node_id": "node_655", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_654", "improvement_over_parent": null }, "node_656": { "node_id": "node_656", "content": "INITIAL DESIGN (Trace 91)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0035)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0021)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0032)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0029)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0041)]\n\nPerformance:\n Mass: 152.16 kg\n Factor of Safety: 1.22\n Max Deflection: 2.67e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 152.161030608744, "fos_buckling": 1.217042469227234, "fos_yielding": 3.209512882784367, "deflection": 0.0026679476732798485, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_657": { "node_id": "node_657", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0032)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0046)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0031)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0042)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0025)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0035)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0050)]\n\nPerformance:\n Mass: 182.99 kg\n Factor of Safety: 1.42\n Max Deflection: 2.22e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 182.99398939700427, "fos_buckling": 1.4223357017603047, "fos_yielding": 3.852242745608882, "deflection": 0.0022228976124285217, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.220)" }, "parent_node_id": "node_656", "improvement_over_parent": null }, "node_658": { "node_id": "node_658", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 202.16 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 202.1593293056331, "fos_buckling": 1.543016762134688, "fos_yielding": 4.250460634193638, "deflection": 0.0020146827714740394, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.115)" }, "parent_node_id": "node_657", "improvement_over_parent": null }, "node_659": { "node_id": "node_659", "content": "MODIFICATION: Increase 11 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.87 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.87387976796316, "fos_buckling": 1.54332630431413, "fos_yielding": 4.25131331245393, "deflection": 0.0020075716505105878, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.196)" }, "parent_node_id": "node_658", "improvement_over_parent": null }, "node_660": { "node_id": "node_660", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_659", "improvement_over_parent": null }, "node_661": { "node_id": "node_661", "content": "INITIAL DESIGN (Trace 92)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0015)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0031)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0022)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0026)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0036)]\n\nPerformance:\n Mass: 134.81 kg\n Factor of Safety: 1.09\n Max Deflection: 3.16e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 134.8118738908701, "fos_buckling": 1.0947774218574937, "fos_yielding": 1.9787117459070316, "deflection": 0.0031576388823061382, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_662": { "node_id": "node_662", "content": "MODIFICATION: Increase 1 thickness by 57%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0031)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0022)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0026)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0036)]\n\nPerformance:\n Mass: 136.62 kg\n Factor of Safety: 1.10\n Max Deflection: 2.98e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 136.6160194379944, "fos_buckling": 1.100130903586154, "fos_yielding": 2.8603655231032716, "deflection": 0.0029832678577936095, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.567)" }, "parent_node_id": "node_661", "improvement_over_parent": null }, "node_663": { "node_id": "node_663", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n\nPerformance:\n Mass: 158.92 kg\n Factor of Safety: 1.25\n Max Deflection: 2.57e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 158.91713967076788, "fos_buckling": 1.2542119433752321, "fos_yielding": 3.322823506636216, "deflection": 0.0025682232065605995, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.175)" }, "parent_node_id": "node_662", "improvement_over_parent": null }, "node_664": { "node_id": "node_664", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.94 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.94198610695358, "fos_buckling": 1.543746658203311, "fos_yielding": 4.2527295191712575, "deflection": 0.002006896951666588, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.311)" }, "parent_node_id": "node_663", "improvement_over_parent": null }, "node_665": { "node_id": "node_665", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_664", "improvement_over_parent": null }, "node_666": { "node_id": "node_666", "content": "INITIAL DESIGN (Trace 93)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0011)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0024)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0028)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0034)]\n\nPerformance:\n Mass: 136.63 kg\n Factor of Safety: 0.74\n Max Deflection: 3.50e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 136.62854558476752, "fos_buckling": 0.7373992506689226, "fos_yielding": 2.586525293444114, "deflection": 0.003500594663823097, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_667": { "node_id": "node_667", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0040)]\n\nPerformance:\n Mass: 159.80 kg\n Factor of Safety: 0.84\n Max Deflection: 2.99e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 159.79597333963184, "fos_buckling": 0.844297042228232, "fos_yielding": 3.0211955193018003, "deflection": 0.0029947958186858016, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.183)" }, "parent_node_id": "node_666", "improvement_over_parent": null }, "node_668": { "node_id": "node_668", "content": "MODIFICATION: Increase 14 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0048)]\n\nPerformance:\n Mass: 163.87 kg\n Factor of Safety: 0.87\n Max Deflection: 2.83e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 163.86934699909025, "fos_buckling": 0.8707659798924522, "fos_yielding": 3.005030993960142, "deflection": 0.0028294153386516975, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.192)" }, "parent_node_id": "node_667", "improvement_over_parent": null }, "node_669": { "node_id": "node_669", "content": "MODIFICATION: Increase 3 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0048)]\n\nPerformance:\n Mass: 164.52 kg\n Factor of Safety: 0.87\n Max Deflection: 2.82e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 164.5192028829948, "fos_buckling": 0.8691656852311258, "fos_yielding": 3.0076775847082478, "deflection": 0.002817969057999195, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.395)" }, "parent_node_id": "node_668", "improvement_over_parent": null }, "node_670": { "node_id": "node_670", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0048)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n\nPerformance:\n Mass: 176.02 kg\n Factor of Safety: 1.37\n Max Deflection: 2.32e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 176.0191113761619, "fos_buckling": 1.3675400411713767, "fos_yielding": 3.6767084865513975, "deflection": 0.002321210151631424, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.003427)" }, "parent_node_id": "node_669", "improvement_over_parent": null }, "node_671": { "node_id": "node_671", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 203.90 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.8996933562428, "fos_buckling": 1.543452881673406, "fos_yielding": 4.25195154853147, "deflection": 0.0020073254977217396, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.174)" }, "parent_node_id": "node_670", "improvement_over_parent": null }, "node_672": { "node_id": "node_672", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_671", "improvement_over_parent": null }, "node_673": { "node_id": "node_673", "content": "INITIAL DESIGN (Trace 94)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0035)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0025)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0042)]\n\nPerformance:\n Mass: 155.00 kg\n Factor of Safety: 1.02\n Max Deflection: 2.75e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 155.00270560792137, "fos_buckling": 1.0203227545855367, "fos_yielding": 3.272906654338411, "deflection": 0.002753356410900017, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_674": { "node_id": "node_674", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0047)]\n\nPerformance:\n Mass: 172.21 kg\n Factor of Safety: 1.11\n Max Deflection: 2.48e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 172.20663917869538, "fos_buckling": 1.1145273112369276, "fos_yielding": 3.6323517604210296, "deflection": 0.0024812435389169277, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.120)" }, "parent_node_id": "node_673", "improvement_over_parent": null }, "node_675": { "node_id": "node_675", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0047)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n\nPerformance:\n Mass: 174.62 kg\n Factor of Safety: 1.36\n Max Deflection: 2.34e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 174.61610111855856, "fos_buckling": 1.3584320148260831, "fos_yielding": 3.6476354571173797, "deflection": 0.0023396417423925788, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.001875)" }, "parent_node_id": "node_674", "improvement_over_parent": null }, "node_676": { "node_id": "node_676", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n\nPerformance:\n Mass: 204.02 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.02295136345546, "fos_buckling": 1.5442436182051276, "fos_yielding": 4.25440490061261, "deflection": 0.0020061175543426546, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.185)" }, "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "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 95)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0016)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0019)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0012)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0014)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0018)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0025)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0018)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0023)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0021)]\n\nPerformance:\n Mass: 86.62 kg\n Factor of Safety: 0.19\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": 86.62106399474865, "fos_buckling": 0.1901794098108592, "fos_yielding": 0.9639261787465967, "deflection": 0.010290512528506376, "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: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0032)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0029)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0021)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0024)]\n\nPerformance:\n Mass: 101.20 kg\n Factor of Safety: 0.22\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": 101.20214942500058, "fos_buckling": 0.21850399190680564, "fos_yielding": 1.1252207689332911, "deflection": 0.008815305348076655, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.178)" }, "parent_node_id": "node_678", "improvement_over_parent": null }, "node_680": { "node_id": "node_680", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0032)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0029)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0021)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0024)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0035)]\n\nPerformance:\n Mass: 121.38 kg\n Factor of Safety: 0.66\n Max Deflection: 3.40e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 121.37756860795655, "fos_buckling": 0.6566556340182749, "fos_yielding": 2.265228480325183, "deflection": 0.0034021109730018647, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.003484)" }, "parent_node_id": "node_679", "improvement_over_parent": null }, "node_681": { "node_id": "node_681", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0033)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0023)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0027)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0039)]\n\nPerformance:\n Mass: 134.14 kg\n Factor of Safety: 0.72\n Max Deflection: 3.08e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 134.1439816079163, "fos_buckling": 0.7173072721419779, "fos_yielding": 2.501559764412958, "deflection": 0.003080631042639835, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.112)" }, "parent_node_id": "node_680", "improvement_over_parent": null }, "node_682": { "node_id": "node_682", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0044)]\n\nPerformance:\n Mass: 150.87 kg\n Factor of Safety: 0.79\n Max Deflection: 2.74e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 150.8702556401799, "fos_buckling": 0.7943509259504588, "fos_yielding": 2.8106466513868402, "deflection": 0.0027417720703692976, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.134)" }, "parent_node_id": "node_681", "improvement_over_parent": null }, "node_683": { "node_id": "node_683", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0044)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0020)]\n\nPerformance:\n Mass: 159.02 kg\n Factor of Safety: 1.21\n Max Deflection: 2.53e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 159.02101847056235, "fos_buckling": 1.2142767978032118, "fos_yielding": 3.389328646283771, "deflection": 0.002532229721420717, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.001974)" }, "parent_node_id": "node_682", "improvement_over_parent": null }, "node_684": { "node_id": "node_684", "content": "MODIFICATION: Increase 13 thickness by 57%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0048)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0044)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0020)]\n\nPerformance:\n Mass: 165.30 kg\n Factor of Safety: 1.20\n Max Deflection: 2.51e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 165.29967155743873, "fos_buckling": 1.2037883338869158, "fos_yielding": 3.376944419904098, "deflection": 0.0025077780790665246, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.570)" }, "parent_node_id": "node_683", "improvement_over_parent": null }, "node_685": { "node_id": "node_685", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0062)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n\nPerformance:\n Mass: 206.33 kg\n Factor of Safety: 1.45\n Max Deflection: 2.01e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 206.3348031154333, "fos_buckling": 1.4545309480179445, "fos_yielding": 4.210752459469132, "deflection": 0.0020121195570041743, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.274)" }, "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "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 96)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0016)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0019)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0011)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0018)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0013)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0017)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0024)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0017)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0022)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0020)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0029)]\n\nPerformance:\n Mass: 100.75 kg\n Factor of Safety: 0.56\n Max Deflection: 4.09e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 100.7491126241204, "fos_buckling": 0.5552746539735802, "fos_yielding": 1.8826020358669502, "deflection": 0.004093767050000425, "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 all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0032)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0023)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0027)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0038)]\n\nPerformance:\n Mass: 132.30 kg\n Factor of Safety: 0.71\n Max Deflection: 3.12e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 132.3046843720169, "fos_buckling": 0.7086729048851194, "fos_yielding": 2.4675538293705626, "deflection": 0.003123132645470297, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.333)" }, "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0032)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0023)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0027)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0038)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n\nPerformance:\n Mass: 143.25 kg\n Factor of Safety: 1.15\n Max Deflection: 2.85e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 143.2479850012664, "fos_buckling": 1.1466969563688225, "fos_yielding": 2.998033299224785, "deflection": 0.0028463468078174063, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.002693)" }, "parent_node_id": "node_688", "improvement_over_parent": null }, "node_690": { "node_id": "node_690", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n\nPerformance:\n Mass: 158.88 kg\n Factor of Safety: 1.25\n Max Deflection: 2.57e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 158.87862659364203, "fos_buckling": 1.2539558817826644, "fos_yielding": 3.3220380227741115, "deflection": 0.002568845846396655, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.117)" }, "parent_node_id": "node_689", "improvement_over_parent": null }, "node_691": { "node_id": "node_691", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n\nPerformance:\n Mass: 203.89 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.89377848817642, "fos_buckling": 1.5434564835727769, "fos_yielding": 4.251751762159853, "deflection": 0.002007370162489392, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.311)" }, "parent_node_id": "node_690", "improvement_over_parent": null }, "node_692": { "node_id": "node_692", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_691", "improvement_over_parent": null }, "node_693": { "node_id": "node_693", "content": "INITIAL DESIGN (Trace 97)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0035)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 161.62 kg\n Factor of Safety: 0.72\n Max Deflection: 2.62e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 161.61781093412895, "fos_buckling": 0.7175816516264044, "fos_yielding": 3.5074130011643088, "deflection": 0.002617770667485964, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_694": { "node_id": "node_694", "content": "MODIFICATION: Increase 10 thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 166.77 kg\n Factor of Safety: 0.72\n Max Deflection: 2.58e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 166.7746513850969, "fos_buckling": 0.717835370062723, "fos_yielding": 3.506798562951738, "deflection": 0.0025825207761356, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.332)" }, "parent_node_id": "node_693", "improvement_over_parent": null }, "node_695": { "node_id": "node_695", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n\nPerformance:\n Mass: 182.36 kg\n Factor of Safety: 1.27\n Max Deflection: 2.22e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 182.35598801754944, "fos_buckling": 1.2728744950056956, "fos_yielding": 3.5065031046008865, "deflection": 0.0022187284665123627, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.003945)" }, "parent_node_id": "node_694", "improvement_over_parent": null }, "node_696": { "node_id": "node_696", "content": "MODIFICATION: Increase 3 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n\nPerformance:\n Mass: 182.99 kg\n Factor of Safety: 1.27\n Max Deflection: 2.21e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 182.99295861811643, "fos_buckling": 1.2728469961818563, "fos_yielding": 3.5064273510905886, "deflection": 0.002214361565774945, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.321)" }, "parent_node_id": "node_695", "improvement_over_parent": null }, "node_697": { "node_id": "node_697", "content": "MODIFICATION: Increase 12 thickness by 44%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n\nPerformance:\n Mass: 188.49 kg\n Factor of Safety: 1.27\n Max Deflection: 2.18e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 188.48800724951812, "fos_buckling": 1.2721357247095244, "fos_yielding": 3.50446794689502, "deflection": 0.0021776975374986126, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.443)" }, "parent_node_id": "node_696", "improvement_over_parent": null }, "node_698": { "node_id": "node_698", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 203.94 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93891176325891, "fos_buckling": 1.543689754543157, "fos_yielding": 4.252542523308192, "deflection": 0.0020069536276246854, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003928)" }, "parent_node_id": "node_697", "improvement_over_parent": null }, "node_699": { "node_id": "node_699", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_698", "improvement_over_parent": null }, "node_700": { "node_id": "node_700", "content": "INITIAL DESIGN (Trace 98)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0014)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0016)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0016)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0016)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0011)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0023)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0018)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0012)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0021)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0015)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0019)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0017)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0017)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0025)]\n\nPerformance:\n Mass: 87.79 kg\n Factor of Safety: 0.51\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": 87.7911783423359, "fos_buckling": 0.5061920042779067, "fos_yielding": 1.522942188700564, "deflection": 0.0071849552181404526, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_701": { "node_id": "node_701", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0020)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0015)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0029)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0016)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0027)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0019)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0025)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0022)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0032)]\n\nPerformance:\n Mass: 112.83 kg\n Factor of Safety: 0.64\n Max Deflection: 5.60e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 112.83453991281766, "fos_buckling": 0.6361103039324972, "fos_yielding": 1.9528991046847373, "deflection": 0.005602968985546491, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.300)" }, "parent_node_id": "node_700", "improvement_over_parent": null }, "node_702": { "node_id": "node_702", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0017)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0034)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0018)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0031)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0022)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0026)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0037)]\n\nPerformance:\n Mass: 129.11 kg\n Factor of Safety: 0.72\n Max Deflection: 4.90e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 129.10904662080517, "fos_buckling": 0.7171004285292594, "fos_yielding": 2.2312492560832857, "deflection": 0.004903925832030896, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.153)" }, "parent_node_id": "node_701", "improvement_over_parent": null }, "node_703": { "node_id": "node_703", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nPerformance:\n Mass: 151.48 kg\n Factor of Safety: 0.82\n Max Deflection: 4.19e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 151.47892003110252, "fos_buckling": 0.824009583985391, "fos_yielding": 2.6124938972426643, "deflection": 0.004188210790460394, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.186)" }, "parent_node_id": "node_702", "improvement_over_parent": null }, "node_704": { "node_id": "node_704", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n\nPerformance:\n Mass: 153.73 kg\n Factor of Safety: 0.74\n Max Deflection: 2.63e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 153.7270836790409, "fos_buckling": 0.7370346937154444, "fos_yielding": 3.2330816726988525, "deflection": 0.002633402709898022, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.001740)" }, "parent_node_id": "node_703", "improvement_over_parent": null }, "node_705": { "node_id": "node_705", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n\nPerformance:\n Mass: 161.43 kg\n Factor of Safety: 1.27\n Max Deflection: 2.52e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 161.4303016929613, "fos_buckling": 1.267321052192305, "fos_yielding": 3.36885488255813, "deflection": 0.0025172560065225245, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.002682)" }, "parent_node_id": "node_704", "improvement_over_parent": null }, "node_706": { "node_id": "node_706", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n\nPerformance:\n Mass: 202.05 kg\n Factor of Safety: 1.53\n Max Deflection: 2.02e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 202.04757883720134, "fos_buckling": 1.527057246062755, "fos_yielding": 4.2062515748170375, "deflection": 0.002016559829229209, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.276)" }, "parent_node_id": "node_705", "improvement_over_parent": null }, "node_707": { "node_id": "node_707", "content": "MODIFICATION: Increase 9 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0042)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n\nPerformance:\n Mass: 204.54 kg\n Factor of Safety: 1.51\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.53624203996125, "fos_buckling": 1.5144496277855384, "fos_yielding": 4.207075290307845, "deflection": 0.002008472570764801, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.248)" }, "parent_node_id": "node_706", "improvement_over_parent": null }, "node_708": { "node_id": "node_708", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_707", "improvement_over_parent": null }, "node_709": { "node_id": "node_709", "content": "INITIAL DESIGN (Trace 99)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\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_710": { "node_id": "node_710", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n\nPerformance:\n Mass: 199.20 kg\n Factor of Safety: 1.26\n Max Deflection: 2.15e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 199.1989597663962, "fos_buckling": 1.264803475949065, "fos_yielding": 4.192670960130764, "deflection": 0.002149879772709557, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.003363)" }, "parent_node_id": "node_709", "improvement_over_parent": null }, "node_711": { "node_id": "node_711", "content": "MODIFICATION: Increase 7 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n\nPerformance:\n Mass: 201.12 kg\n Factor of Safety: 1.26\n Max Deflection: 2.13e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 201.11930517521708, "fos_buckling": 1.2644780300523693, "fos_yielding": 4.234741480763008, "deflection": 0.002128790896807281, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.185)" }, "parent_node_id": "node_710", "improvement_over_parent": null }, "node_712": { "node_id": "node_712", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93353706433712, "fos_buckling": 1.5436988267389575, "fos_yielding": 4.252567515310831, "deflection": 0.0020069842016914165, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.002221)" }, "parent_node_id": "node_711", "improvement_over_parent": null }, "node_713": { "node_id": "node_713", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_712", "improvement_over_parent": null }, "node_714": { "node_id": "node_714", "content": "INITIAL DESIGN (Trace 100)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0031)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0018)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0045)]\n\nPerformance:\n Mass: 161.18 kg\n Factor of Safety: 1.16\n Max Deflection: 2.50e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 161.17602891335036, "fos_buckling": 1.156923419119031, "fos_yielding": 3.4908131661352946, "deflection": 0.0025021073951332715, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_715": { "node_id": "node_715", "content": "MODIFICATION: Increase 10 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0038)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0018)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0045)]\n\nPerformance:\n Mass: 164.13 kg\n Factor of Safety: 1.31\n Max Deflection: 2.47e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 164.13269056249908, "fos_buckling": 1.3077853405014472, "fos_yielding": 3.4887960970328806, "deflection": 0.0024650293586840127, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.209)" }, "parent_node_id": "node_714", "improvement_over_parent": null }, "node_716": { "node_id": "node_716", "content": "MODIFICATION: Increase 11 thickness by 49%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0038)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0045)]\n\nPerformance:\n Mass: 167.02 kg\n Factor of Safety: 1.31\n Max Deflection: 2.44e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 167.0188286687539, "fos_buckling": 1.3084366419099733, "fos_yielding": 3.4905335823385255, "deflection": 0.002444888414918595, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.486)" }, "parent_node_id": "node_715", "improvement_over_parent": null }, "node_717": { "node_id": "node_717", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.83 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.8291050526435, "fos_buckling": 1.5430609094429193, "fos_yielding": 4.250419687808022, "deflection": 0.0020079928661812826, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.242)" }, "parent_node_id": "node_716", "improvement_over_parent": null }, "node_718": { "node_id": "node_718", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_717", "improvement_over_parent": null }, "node_719": { "node_id": "node_719", "content": "INITIAL DESIGN (Trace 101)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0023)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n\nPerformance:\n Mass: 135.48 kg\n Factor of Safety: 0.28\n Max Deflection: 7.48e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 135.48118528049474, "fos_buckling": 0.27637620008030284, "fos_yielding": 1.4744988473019656, "deflection": 0.007484156629498583, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_720": { "node_id": "node_720", "content": "MODIFICATION: Increase 0 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0023)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n\nPerformance:\n Mass: 136.53 kg\n Factor of Safety: 0.28\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": 136.52971242043316, "fos_buckling": 0.2763663637421584, "fos_yielding": 1.4744462384932353, "deflection": 0.0074668936153829656, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.314)" }, "parent_node_id": "node_719", "improvement_over_parent": null }, "node_721": { "node_id": "node_721", "content": "MODIFICATION: Increase 12 thickness by 58%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n\nPerformance:\n Mass: 142.16 kg\n Factor of Safety: 0.28\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": 142.16390835167905, "fos_buckling": 0.2762078954338706, "fos_yielding": 1.4735986856597856, "deflection": 0.007270007883529437, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.577)" }, "parent_node_id": "node_720", "improvement_over_parent": null }, "node_722": { "node_id": "node_722", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0047)]\n\nPerformance:\n Mass: 168.66 kg\n Factor of Safety: 1.13\n Max Deflection: 2.43e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 168.65580816373188, "fos_buckling": 1.134183090761382, "fos_yielding": 3.5081060504183856, "deflection": 0.0024301411772732553, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.004661)" }, "parent_node_id": "node_721", "improvement_over_parent": null }, "node_723": { "node_id": "node_723", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n\nPerformance:\n Mass: 199.26 kg\n Factor of Safety: 1.32\n Max Deflection: 2.06e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 199.26423962525416, "fos_buckling": 1.3223574941182226, "fos_yielding": 4.138202510731407, "deflection": 0.0020603315626749135, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.199)" }, "parent_node_id": "node_722", "improvement_over_parent": null }, "node_724": { "node_id": "node_724", "content": "MODIFICATION: Increase 8 thickness by 57%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n\nPerformance:\n Mass: 203.83 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.82696640796814, "fos_buckling": 1.54309553235869, "fos_yielding": 4.250293231852627, "deflection": 0.0020080015967615045, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.572)" }, "parent_node_id": "node_723", "improvement_over_parent": null }, "node_725": { "node_id": "node_725", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_724", "improvement_over_parent": null }, "node_726": { "node_id": "node_726", "content": "INITIAL DESIGN (Trace 102)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0014)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0017)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0010)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0016)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0023)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0016)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0016)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0021)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0015)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0020)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0018)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0018)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0025)]\n\nPerformance:\n Mass: 95.47 kg\n Factor of Safety: 0.67\n Max Deflection: 4.54e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 95.47415359945867, "fos_buckling": 0.6680843996834533, "fos_yielding": 1.6818535500832124, "deflection": 0.004536576578797074, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_727": { "node_id": "node_727", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0030)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0028)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0020)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0023)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0033)]\n\nPerformance:\n Mass: 122.65 kg\n Factor of Safety: 0.84\n Max Deflection: 3.54e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 122.65031488118092, "fos_buckling": 0.8375986759683046, "fos_yielding": 2.156864863184246, "deflection": 0.0035375589153665682, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.300)" }, "parent_node_id": "node_726", "improvement_over_parent": null }, "node_728": { "node_id": "node_728", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nPerformance:\n Mass: 159.33 kg\n Factor of Safety: 1.05\n Max Deflection: 2.73e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 159.3271190145702, "fos_buckling": 1.0520099352926084, "fos_yielding": 2.795351269380024, "deflection": 0.0027296309230053035, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.321)" }, "parent_node_id": "node_727", "improvement_over_parent": null }, "node_729": { "node_id": "node_729", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n\nPerformance:\n Mass: 162.38 kg\n Factor of Safety: 1.28\n Max Deflection: 2.51e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 162.3793348834948, "fos_buckling": 1.277504257658288, "fos_yielding": 3.3945241660576264, "deflection": 0.002514028917674631, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002024)" }, "parent_node_id": "node_728", "improvement_over_parent": null }, "node_730": { "node_id": "node_730", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0032)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0046)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0031)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0031)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0042)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0050)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n\nPerformance:\n Mass: 184.93 kg\n Factor of Safety: 1.43\n Max Deflection: 2.21e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 184.93487660787952, "fos_buckling": 1.4250334773688362, "fos_yielding": 3.8608047172406805, "deflection": 0.0022105368207844794, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.151)" }, "parent_node_id": "node_729", "improvement_over_parent": null }, "node_731": { "node_id": "node_731", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n\nPerformance:\n Mass: 203.78 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.78333045302423, "fos_buckling": 1.54278570456141, "fos_yielding": 4.249481800309379, "deflection": 0.0020084528054391676, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.112)" }, "parent_node_id": "node_730", "improvement_over_parent": null }, "node_732": { "node_id": "node_732", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_731", "improvement_over_parent": null }, "node_733": { "node_id": "node_733", "content": "INITIAL DESIGN (Trace 103)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0038)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0017)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0045)]\n\nPerformance:\n Mass: 142.07 kg\n Factor of Safety: 1.07\n Max Deflection: 3.13e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 142.06556690676092, "fos_buckling": 1.0700934151479116, "fos_yielding": 2.082170511751926, "deflection": 0.003131835712305006, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_734": { "node_id": "node_734", "content": "MODIFICATION: Increase 12 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0038)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0020)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0045)]\n\nPerformance:\n Mass: 143.39 kg\n Factor of Safety: 1.07\n Max Deflection: 3.10e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 143.39318016978126, "fos_buckling": 1.069806004028392, "fos_yielding": 2.081888555869939, "deflection": 0.0031039022611379957, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.199)" }, "parent_node_id": "node_733", "improvement_over_parent": null }, "node_735": { "node_id": "node_735", "content": "MODIFICATION: Increase 1 thickness by 34%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0038)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0020)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0045)]\n\nPerformance:\n Mass: 144.90 kg\n Factor of Safety: 1.07\n Max Deflection: 3.02e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 144.90233228616472, "fos_buckling": 1.0694794795341518, "fos_yielding": 2.0815681378489823, "deflection": 0.0030229992257061866, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.340)" }, "parent_node_id": "node_734", "improvement_over_parent": null }, "node_736": { "node_id": "node_736", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 178.39 kg\n Factor of Safety: 1.27\n Max Deflection: 2.46e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 178.3899290221499, "fos_buckling": 1.2677891623079538, "fos_yielding": 2.5699384114092116, "deflection": 0.002459200923151401, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.253)" }, "parent_node_id": "node_735", "improvement_over_parent": null }, "node_737": { "node_id": "node_737", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n\nPerformance:\n Mass: 181.20 kg\n Factor of Safety: 1.27\n Max Deflection: 2.34e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 181.20416091126992, "fos_buckling": 1.273483677990556, "fos_yielding": 2.5696930865165455, "deflection": 0.0023366995897855787, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.002221)" }, "parent_node_id": "node_736", "improvement_over_parent": null }, "node_738": { "node_id": "node_738", "content": "MODIFICATION: Increase 13 thickness by 56%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0088)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n\nPerformance:\n Mass: 196.38 kg\n Factor of Safety: 1.58\n Max Deflection: 2.07e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 196.38170834783122, "fos_buckling": 1.5775132510998886, "fos_yielding": 2.5670499175268104, "deflection": 0.0020736792393372633, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.565)" }, "parent_node_id": "node_737", "improvement_over_parent": null }, "node_739": { "node_id": "node_739", "content": "MODIFICATION: Increase 2 thickness by 40%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0088)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n\nPerformance:\n Mass: 198.45 kg\n Factor of Safety: 1.58\n Max Deflection: 1.95e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 198.45335704468303, "fos_buckling": 1.5774819408543057, "fos_yielding": 3.504678199457306, "deflection": 0.0019472271942286808, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.401)" }, "parent_node_id": "node_738", "improvement_over_parent": null }, "node_740": { "node_id": "node_740", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0088)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 213.90 kg\n Factor of Safety: 1.49\n Max Deflection: 1.85e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 213.90426155842383, "fos_buckling": 1.4923397918415329, "fos_yielding": 4.066581074040929, "deflection": 0.001846660877051405, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003928)" }, "parent_node_id": "node_739", "improvement_over_parent": null }, "node_741": { "node_id": "node_741", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_740", "improvement_over_parent": null }, "node_742": { "node_id": "node_742", "content": "INITIAL DESIGN (Trace 104)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0016)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0031)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0017)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0020)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0020)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0024)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0034)]\n\nPerformance:\n Mass: 119.45 kg\n Factor of Safety: 0.62\n Max Deflection: 3.65e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 119.44903711580797, "fos_buckling": 0.6207656728970905, "fos_yielding": 2.603785323773666, "deflection": 0.0036507858342765768, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_743": { "node_id": "node_743", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0026)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0019)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0024)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0025)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0032)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0041)]\n\nPerformance:\n Mass: 142.55 kg\n Factor of Safety: 0.73\n Max Deflection: 3.06e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 142.5460115405477, "fos_buckling": 0.7304884550336235, "fos_yielding": 3.102360154751641, "deflection": 0.0030629648598595326, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.206)" }, "parent_node_id": "node_742", "improvement_over_parent": null }, "node_744": { "node_id": "node_744", "content": "MODIFICATION: Increase 7 thickness by 44%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0026)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0019)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0024)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0025)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0032)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0041)]\n\nPerformance:\n Mass: 145.47 kg\n Factor of Safety: 0.73\n Max Deflection: 3.00e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 145.4652656102834, "fos_buckling": 0.7302008281566326, "fos_yielding": 3.175401661672284, "deflection": 0.0029970320056584136, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.443)" }, "parent_node_id": "node_743", "improvement_over_parent": null }, "node_745": { "node_id": "node_745", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0027)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0047)]\n\nPerformance:\n Mass: 165.03 kg\n Factor of Safety: 0.82\n Max Deflection: 2.64e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 165.03492124043643, "fos_buckling": 0.8188162123726037, "fos_yielding": 3.597338093281873, "deflection": 0.0026445959002116526, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.145)" }, "parent_node_id": "node_744", "improvement_over_parent": null }, "node_746": { "node_id": "node_746", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0033)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 194.56 kg\n Factor of Safety: 0.95\n Max Deflection: 2.25e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 194.56292952746708, "fos_buckling": 0.9482329511546274, "fos_yielding": 4.231578192558253, "deflection": 0.0022469626398345954, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.196)" }, "parent_node_id": "node_745", "improvement_over_parent": null }, "node_747": { "node_id": "node_747", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0033)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n\nPerformance:\n Mass: 197.38 kg\n Factor of Safety: 1.29\n Max Deflection: 2.06e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 197.37716141658711, "fos_buckling": 1.2861287244948927, "fos_yielding": 4.254074398114584, "deflection": 0.002063043872397989, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.002221)" }, "parent_node_id": "node_746", "improvement_over_parent": null }, "node_748": { "node_id": "node_748", "content": "MODIFICATION: Increase 10 thickness by 44%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0033)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0048)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n\nPerformance:\n Mass: 201.71 kg\n Factor of Safety: 1.17\n Max Deflection: 2.04e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 201.7139693887902, "fos_buckling": 1.1670656871185474, "fos_yielding": 4.2558050927887, "deflection": 0.0020448620232748557, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.441)" }, "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "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 105)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0013)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0015)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0019)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0019)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0027)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0019)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0025)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0022)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0022)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0032)]\n\nPerformance:\n Mass: 116.17 kg\n Factor of Safety: 0.30\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": 116.17357544563191, "fos_buckling": 0.3017896853239473, "fos_yielding": 1.3813453344337836, "deflection": 0.00871595508215577, "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 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0013)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0015)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0019)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0019)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0027)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0019)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0025)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0022)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0022)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0032)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0020)]\n\nPerformance:\n Mass: 120.44 kg\n Factor of Safety: 0.98\n Max Deflection: 3.38e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 120.44399986759903, "fos_buckling": 0.9839588107537816, "fos_yielding": 2.5242483151747033, "deflection": 0.0033804234355727628, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.002023)" }, "parent_node_id": "node_750", "improvement_over_parent": null }, "node_752": { "node_id": "node_752", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0016)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0019)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0024)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0028)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0040)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0026)]\n\nPerformance:\n Mass: 150.80 kg\n Factor of Safety: 1.20\n Max Deflection: 2.71e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 150.79950447065875, "fos_buckling": 1.1989556309174227, "fos_yielding": 3.154656792301492, "deflection": 0.0027051211547308527, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.269)" }, "parent_node_id": "node_751", "improvement_over_parent": null }, "node_753": { "node_id": "node_753", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0047)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n\nPerformance:\n Mass: 172.45 kg\n Factor of Safety: 1.34\n Max Deflection: 2.37e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 172.4472347402702, "fos_buckling": 1.3442494541644743, "fos_yielding": 3.6028201976333896, "deflection": 0.0023687629091711827, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.155)" }, "parent_node_id": "node_752", "improvement_over_parent": null }, "node_754": { "node_id": "node_754", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n\nPerformance:\n Mass: 203.85 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.84958053767886, "fos_buckling": 1.5431917096293606, "fos_yielding": 4.250858580884579, "deflection": 0.0020078171741081266, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.200)" }, "parent_node_id": "node_753", "improvement_over_parent": null }, "node_755": { "node_id": "node_755", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_754", "improvement_over_parent": null }, "node_756": { "node_id": "node_756", "content": "INITIAL DESIGN (Trace 106)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0032)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0046)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0042)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0035)]\n\nPerformance:\n Mass: 129.52 kg\n Factor of Safety: 0.29\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": 129.52158569461497, "fos_buckling": 0.29136485306389914, "fos_yielding": 1.5695893040228546, "deflection": 0.007504269741871988, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_757": { "node_id": "node_757", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0032)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0046)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0042)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0035)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n\nPerformance:\n Mass: 146.72 kg\n Factor of Safety: 0.29\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": 146.71619090069345, "fos_buckling": 0.2908553360950337, "fos_yielding": 1.5668372534927009, "deflection": 0.006599852169288483, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.003893)" }, "parent_node_id": "node_756", "improvement_over_parent": null }, "node_758": { "node_id": "node_758", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0032)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0046)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0042)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0035)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0031)]\n\nPerformance:\n Mass: 155.40 kg\n Factor of Safety: 0.29\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": 155.39502697686925, "fos_buckling": 0.29068428688839903, "fos_yielding": 1.5659133723054286, "deflection": 0.006309462576241183, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.003051)" }, "parent_node_id": "node_757", "improvement_over_parent": null }, "node_759": { "node_id": "node_759", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0032)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0046)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0042)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0035)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0050)]\n\nPerformance:\n Mass: 183.58 kg\n Factor of Safety: 1.42\n Max Deflection: 2.23e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 183.57623313439314, "fos_buckling": 1.4163752700020762, "fos_yielding": 3.832821655326782, "deflection": 0.002226698793416753, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.004984)" }, "parent_node_id": "node_758", "improvement_over_parent": null }, "node_760": { "node_id": "node_760", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n\nPerformance:\n Mass: 203.96 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.95618450615882, "fos_buckling": 1.5438703894909067, "fos_yielding": 4.253116033905635, "deflection": 0.0020067649897662345, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.122)" }, "parent_node_id": "node_759", "improvement_over_parent": null }, "node_761": { "node_id": "node_761", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_760", "improvement_over_parent": null }, "node_762": { "node_id": "node_762", "content": "INITIAL DESIGN (Trace 107)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0015)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0025)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0013)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0030)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0021)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0016)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0025)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0036)]\n\nPerformance:\n Mass: 121.30 kg\n Factor of Safety: 0.78\n Max Deflection: 3.55e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 121.29751621684836, "fos_buckling": 0.7836771176859775, "fos_yielding": 2.063034829506426, "deflection": 0.0035461664533270178, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_763": { "node_id": "node_763", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0019)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0031)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0017)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0020)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nPerformance:\n Mass: 148.96 kg\n Factor of Safety: 0.95\n Max Deflection: 2.89e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 148.9597870177658, "fos_buckling": 0.947165086829737, "fos_yielding": 2.536126407986701, "deflection": 0.0028923165191485608, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.244)" }, "parent_node_id": "node_762", "improvement_over_parent": null }, "node_764": { "node_id": "node_764", "content": "MODIFICATION: Increase 4 thickness by 52%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0031)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0017)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0020)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nPerformance:\n Mass: 150.88 kg\n Factor of Safety: 1.06\n Max Deflection: 2.78e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 150.87837012429452, "fos_buckling": 1.0617301857756754, "fos_yielding": 2.843371048102158, "deflection": 0.0027836058522976615, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.524)" }, "parent_node_id": "node_763", "improvement_over_parent": null }, "node_765": { "node_id": "node_765", "content": "MODIFICATION: Increase 12 thickness by 54%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0031)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0017)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nPerformance:\n Mass: 155.09 kg\n Factor of Safety: 1.07\n Max Deflection: 2.74e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 155.08681969347433, "fos_buckling": 1.0671471720769745, "fos_yielding": 2.8421519708918397, "deflection": 0.002735574190942639, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.538)" }, "parent_node_id": "node_764", "improvement_over_parent": null }, "node_766": { "node_id": "node_766", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0031)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0017)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n\nPerformance:\n Mass: 158.19 kg\n Factor of Safety: 1.06\n Max Deflection: 2.53e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 158.18807836097344, "fos_buckling": 1.0628845667923852, "fos_yielding": 2.8985759199199665, "deflection": 0.00253026597846956, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002059)" }, "parent_node_id": "node_765", "improvement_over_parent": null }, "node_767": { "node_id": "node_767", "content": "MODIFICATION: Increase 7 thickness by 63%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0031)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0017)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0052)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n\nPerformance:\n Mass: 164.21 kg\n Factor of Safety: 1.07\n Max Deflection: 2.47e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 164.20620141412954, "fos_buckling": 1.0680189114394136, "fos_yielding": 2.9125777111054, "deflection": 0.0024698819001110267, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.631)" }, "parent_node_id": "node_766", "improvement_over_parent": null }, "node_768": { "node_id": "node_768", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0066)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n\nPerformance:\n Mass: 202.64 kg\n Factor of Safety: 1.29\n Max Deflection: 2.01e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 202.64280791186275, "fos_buckling": 1.289488577167105, "fos_yielding": 3.60810560963123, "deflection": 0.0020055443042083653, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.258)" }, "parent_node_id": "node_767", "improvement_over_parent": null }, "node_769": { "node_id": "node_769", "content": "MODIFICATION: Increase 6 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0066)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n\nPerformance:\n Mass: 204.45 kg\n Factor of Safety: 1.30\n Max Deflection: 2.00e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 204.45452555456157, "fos_buckling": 1.2998215453217605, "fos_yielding": 3.6370181886358925, "deflection": 0.0019975930491712307, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.319)" }, "parent_node_id": "node_768", "improvement_over_parent": null }, "node_770": { "node_id": "node_770", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_769", "improvement_over_parent": null }, "node_771": { "node_id": "node_771", "content": "INITIAL DESIGN (Trace 108)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 134.39 kg\n Factor of Safety: 0.21\n Max Deflection: 3.29e+13 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 134.39458474932368, "fos_buckling": 0.2120140768215817, "fos_yielding": 0.8979296135451138, "deflection": 32941621474601.438, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_772": { "node_id": "node_772", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n\nPerformance:\n Mass: 149.98 kg\n Factor of Safety: 0.35\n Max Deflection: 6.39e+12 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 149.97592138177623, "fos_buckling": 0.34798429148464494, "fos_yielding": 1.3271077027367333, "deflection": 6388907778693.64, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.003945)" }, "parent_node_id": "node_771", "improvement_over_parent": null }, "node_773": { "node_id": "node_773", "content": "MODIFICATION: Increase 7 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n\nPerformance:\n Mass: 152.08 kg\n Factor of Safety: 0.35\n Max Deflection: 6.39e+12 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 152.08008340395662, "fos_buckling": 0.34798429148464494, "fos_yielding": 1.3271077027367333, "deflection": 6388907778693.64, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.309)" }, "parent_node_id": "node_772", "improvement_over_parent": null }, "node_774": { "node_id": "node_774", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n\nPerformance:\n Mass: 183.39 kg\n Factor of Safety: 0.47\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": 183.38963374888544, "fos_buckling": 0.474343546418451, "fos_yielding": 2.328113035315451, "deflection": 0.006737766934846918, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.005592)" }, "parent_node_id": "node_773", "improvement_over_parent": null }, "node_775": { "node_id": "node_775", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n\nPerformance:\n Mass: 190.62 kg\n Factor of Safety: 0.98\n Max Deflection: 2.43e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 190.62077953709385, "fos_buckling": 0.9832296218796431, "fos_yielding": 3.480837560123546, "deflection": 0.0024349713904399184, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.003560)" }, "parent_node_id": "node_774", "improvement_over_parent": null }, "node_776": { "node_id": "node_776", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 203.94 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.9443136087391, "fos_buckling": 1.5438891455354717, "fos_yielding": 4.252651360666051, "deflection": 0.002006912650551056, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.004024)" }, "parent_node_id": "node_775", "improvement_over_parent": null }, "node_777": { "node_id": "node_777", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_776", "improvement_over_parent": null }, "node_778": { "node_id": "node_778", "content": "INITIAL DESIGN (Trace 109)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0032)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0029)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0021)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0024)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0035)]\n\nPerformance:\n Mass: 124.27 kg\n Factor of Safety: 0.61\n Max Deflection: 3.27e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 124.2697333742681, "fos_buckling": 0.6061495359122995, "fos_yielding": 2.5981609136933383, "deflection": 0.003270676088716476, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_779": { "node_id": "node_779", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0035)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0033)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0023)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0027)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0039)]\n\nPerformance:\n Mass: 138.39 kg\n Factor of Safety: 0.67\n Max Deflection: 2.94e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 138.39092287284996, "fos_buckling": 0.665778402034349, "fos_yielding": 2.890034267408931, "deflection": 0.0029394599218721352, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.121)" }, "parent_node_id": "node_778", "improvement_over_parent": null }, "node_780": { "node_id": "node_780", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0035)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0033)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0023)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0027)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0039)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n\nPerformance:\n Mass: 145.26 kg\n Factor of Safety: 1.16\n Max Deflection: 2.81e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 145.26148740961267, "fos_buckling": 1.1606899134204562, "fos_yielding": 3.0397461442310014, "deflection": 0.0028072896291802124, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.002373)" }, "parent_node_id": "node_779", "improvement_over_parent": null }, "node_781": { "node_id": "node_781", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0032)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0046)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0031)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0042)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0050)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0031)]\n\nPerformance:\n Mass: 184.71 kg\n Factor of Safety: 1.42\n Max Deflection: 2.21e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 184.71269003673112, "fos_buckling": 1.4235894176292712, "fos_yielding": 3.8561398201243375, "deflection": 0.0022131870137897173, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.295)" }, "parent_node_id": "node_780", "improvement_over_parent": null }, "node_782": { "node_id": "node_782", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n\nPerformance:\n Mass: 203.87 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.87394568907385, "fos_buckling": 1.54331214367356, "fos_yielding": 4.251263304491091, "deflection": 0.0020075913366752875, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.114)" }, "parent_node_id": "node_781", "improvement_over_parent": null }, "node_783": { "node_id": "node_783", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_782", "improvement_over_parent": null }, "node_784": { "node_id": "node_784", "content": "INITIAL DESIGN (Trace 110)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n\nPerformance:\n Mass: 185.43 kg\n Factor of Safety: 0.84\n Max Deflection: 2.28e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 185.433630356014, "fos_buckling": 0.8419554317177751, "fos_yielding": 4.090998333346986, "deflection": 0.002284034157641483, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_785": { "node_id": "node_785", "content": "MODIFICATION: Increase 7 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n\nPerformance:\n Mass: 187.61 kg\n Factor of Safety: 0.87\n Max Deflection: 2.25e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 187.60619194291658, "fos_buckling": 0.8713904066449236, "fos_yielding": 4.054729600750151, "deflection": 0.002248377394618212, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.214)" }, "parent_node_id": "node_784", "improvement_over_parent": null }, "node_786": { "node_id": "node_786", "content": "MODIFICATION: Increase 14 thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 194.31 kg\n Factor of Safety: 0.88\n Max Deflection: 2.10e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 194.31194214744565, "fos_buckling": 0.8836893184954784, "fos_yielding": 4.038788902291813, "deflection": 0.002100467980651977, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.299)" }, "parent_node_id": "node_785", "improvement_over_parent": null }, "node_787": { "node_id": "node_787", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n\nPerformance:\n Mass: 203.95 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.95370706972867, "fos_buckling": 1.5443612059135512, "fos_yielding": 4.25214725890925, "deflection": 0.002006634615022175, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.003423)" }, "parent_node_id": "node_786", "improvement_over_parent": null }, "node_788": { "node_id": "node_788", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_787", "improvement_over_parent": null }, "node_789": { "node_id": "node_789", "content": "INITIAL DESIGN (Trace 111)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 128.49 kg\n Factor of Safety: 0.24\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": 128.48777657027972, "fos_buckling": 0.23559824371007293, "fos_yielding": 1.4690903686786014, "deflection": 0.008344595576997417, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_790": { "node_id": "node_790", "content": "MODIFICATION: Increase 9 thickness by 46%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 131.33 kg\n Factor of Safety: 0.32\n Max Deflection: 7.84e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 131.32610646205546, "fos_buckling": 0.3177362445011251, "fos_yielding": 1.7423633815861905, "deflection": 0.007835028277762774, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.462)" }, "parent_node_id": "node_789", "improvement_over_parent": null }, "node_791": { "node_id": "node_791", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n\nPerformance:\n Mass: 153.53 kg\n Factor of Safety: 0.32\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": 153.52909114576926, "fos_buckling": 0.3174970889400498, "fos_yielding": 1.74104806869811, "deflection": 0.006723201911969412, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.004709)" }, "parent_node_id": "node_790", "improvement_over_parent": null }, "node_792": { "node_id": "node_792", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n\nPerformance:\n Mass: 172.63 kg\n Factor of Safety: 0.32\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": 172.63281046856267, "fos_buckling": 0.3168814326189681, "fos_yielding": 1.7376620956855695, "deflection": 0.005685056211698406, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.004368)" }, "parent_node_id": "node_791", "improvement_over_parent": null }, "node_793": { "node_id": "node_793", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n\nPerformance:\n Mass: 203.94 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.9423608134915, "fos_buckling": 1.5438693612442012, "fos_yielding": 4.252596864724141, "deflection": 0.002006910127571852, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.005592)" }, "parent_node_id": "node_792", "improvement_over_parent": null }, "node_794": { "node_id": "node_794", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_793", "improvement_over_parent": null }, "node_795": { "node_id": "node_795", "content": "INITIAL DESIGN (Trace 112)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0032)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0030)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0021)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0025)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0035)]\n\nPerformance:\n Mass: 130.68 kg\n Factor of Safety: 0.89\n Max Deflection: 3.32e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 130.68039200891363, "fos_buckling": 0.8859500050452622, "fos_yielding": 2.29690955938994, "deflection": 0.0033218936715544113, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_796": { "node_id": "node_796", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n\nPerformance:\n Mass: 157.12 kg\n Factor of Safety: 1.04\n Max Deflection: 2.77e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 157.11963789310377, "fos_buckling": 1.0395699677616161, "fos_yielding": 2.7570061438586615, "deflection": 0.0027675900630955157, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.217)" }, "parent_node_id": "node_795", "improvement_over_parent": null }, "node_797": { "node_id": "node_797", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n\nPerformance:\n Mass: 160.13 kg\n Factor of Safety: 1.26\n Max Deflection: 2.55e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 160.12830973998135, "fos_buckling": 1.262378324574051, "fos_yielding": 3.347908178050362, "deflection": 0.0025490010464427407, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.001993)" }, "parent_node_id": "node_796", "improvement_over_parent": null }, "node_798": { "node_id": "node_798", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n\nPerformance:\n Mass: 203.89 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.8904695544937, "fos_buckling": 1.543433120460859, "fos_yielding": 4.251673663420845, "deflection": 0.0020074045207309483, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.300)" }, "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "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 113)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0015)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0018)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0011)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0018)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0013)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0017)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0017)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0023)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0017)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0022)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0020)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0019)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0028)]\n\nPerformance:\n Mass: 98.62 kg\n Factor of Safety: 0.55\n Max Deflection: 4.69e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 98.61542095336986, "fos_buckling": 0.5520250076925107, "fos_yielding": 1.807744411498747, "deflection": 0.004687369089725016, "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: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0015)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0018)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0011)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0018)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0013)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0017)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0017)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0023)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0017)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0022)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0020)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0019)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0028)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0020)]\n\nPerformance:\n Mass: 105.51 kg\n Factor of Safety: 0.87\n Max Deflection: 3.86e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 105.507144357648, "fos_buckling": 0.8733165130566595, "fos_yielding": 2.2131850054610074, "deflection": 0.0038553290651408513, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.001990)" }, "parent_node_id": "node_800", "improvement_over_parent": null }, "node_802": { "node_id": "node_802", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0032)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0029)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0021)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0024)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0035)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n\nPerformance:\n Mass: 130.76 kg\n Factor of Safety: 1.06\n Max Deflection: 3.12e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 130.76252035640735, "fos_buckling": 1.0585127938066259, "fos_yielding": 2.738780959126563, "deflection": 0.003115671696965899, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.253)" }, "parent_node_id": "node_801", "improvement_over_parent": null }, "node_803": { "node_id": "node_803", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0024)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0032)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0041)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n\nPerformance:\n Mass: 151.82 kg\n Factor of Safety: 1.21\n Max Deflection: 2.69e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 151.81810240587856, "fos_buckling": 1.2059343308758088, "fos_yielding": 3.17575192800338, "deflection": 0.0026871208992366885, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.172)" }, "parent_node_id": "node_802", "improvement_over_parent": null }, "node_804": { "node_id": "node_804", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0042)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0046)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n\nPerformance:\n Mass: 171.51 kg\n Factor of Safety: 1.34\n Max Deflection: 2.38e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 171.51144277322067, "fos_buckling": 1.338098277881535, "fos_yielding": 3.5834503091588665, "deflection": 0.0023815270398876657, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.140)" }, "parent_node_id": "node_803", "improvement_over_parent": null }, "node_805": { "node_id": "node_805", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 203.68 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.6845375923455, "fos_buckling": 1.542173252841944, "fos_yielding": 4.247435067435934, "deflection": 0.0020094065636282717, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.206)" }, "parent_node_id": "node_804", "improvement_over_parent": null }, "node_806": { "node_id": "node_806", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_805", "improvement_over_parent": null }, "node_807": { "node_id": "node_807", "content": "INITIAL DESIGN (Trace 114)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0042)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n\nPerformance:\n Mass: 138.63 kg\n Factor of Safety: 0.27\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": 138.62521061553025, "fos_buckling": 0.2740249184038664, "fos_yielding": 1.459860531757398, "deflection": 0.008862016277492364, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_808": { "node_id": "node_808", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0042)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0046)]\n\nPerformance:\n Mass: 164.86 kg\n Factor of Safety: 0.41\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": 164.8644469604845, "fos_buckling": 0.4092384528321919, "fos_yielding": 1.9527173428492617, "deflection": 0.0061689575473937875, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.004613)" }, "parent_node_id": "node_807", "improvement_over_parent": null }, "node_809": { "node_id": "node_809", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0042)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0046)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n\nPerformance:\n Mass: 170.93 kg\n Factor of Safety: 1.33\n Max Deflection: 2.39e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 170.92504133075428, "fos_buckling": 1.3342774623742206, "fos_yielding": 3.571359744603318, "deflection": 0.0023896293852032195, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.002937)" }, "parent_node_id": "node_808", "improvement_over_parent": null }, "node_810": { "node_id": "node_810", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n\nPerformance:\n Mass: 203.92 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.9188184100863, "fos_buckling": 1.5436492278149516, "fos_yielding": 4.252301181214784, "deflection": 0.002007143840441986, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.212)" }, "parent_node_id": "node_809", "improvement_over_parent": null }, "node_811": { "node_id": "node_811", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_810", "improvement_over_parent": null }, "node_812": { "node_id": "node_812", "content": "INITIAL DESIGN (Trace 115)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 175.91 kg\n Factor of Safety: 1.27\n Max Deflection: 2.33e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 175.90943680468285, "fos_buckling": 1.2675534747876043, "fos_yielding": 3.506259850963974, "deflection": 0.0023261611549876843, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_813": { "node_id": "node_813", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n\nPerformance:\n Mass: 187.23 kg\n Factor of Safety: 1.27\n Max Deflection: 2.22e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 187.2340788067897, "fos_buckling": 1.2722975388487978, "fos_yielding": 3.504913711017059, "deflection": 0.002217783634467165, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.003363)" }, "parent_node_id": "node_812", "improvement_over_parent": null }, "node_814": { "node_id": "node_814", "content": "MODIFICATION: Increase 1 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n\nPerformance:\n Mass: 188.48 kg\n Factor of Safety: 1.27\n Max Deflection: 2.18e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 188.48429664376428, "fos_buckling": 1.2721357822354964, "fos_yielding": 3.504468105367047, "deflection": 0.0021776598181040214, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.212)" }, "parent_node_id": "node_813", "improvement_over_parent": null }, "node_815": { "node_id": "node_815", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 203.94 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93520115750508, "fos_buckling": 1.543697384036864, "fos_yielding": 4.252563540968203, "deflection": 0.002006908284566038, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003928)" }, "parent_node_id": "node_814", "improvement_over_parent": null }, "node_816": { "node_id": "node_816", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_815", "improvement_over_parent": null }, "node_817": { "node_id": "node_817", "content": "INITIAL DESIGN (Trace 116)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 167.23 kg\n Factor of Safety: 0.34\n Max Deflection: 3.17e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 167.22678880233673, "fos_buckling": 0.33991070351084846, "fos_yielding": 2.5312124650152086, "deflection": 0.0031656885955309915, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_818": { "node_id": "node_818", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n\nPerformance:\n Mass: 189.43 kg\n Factor of Safety: 1.00\n Max Deflection: 2.50e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 189.42977348605052, "fos_buckling": 0.996666998339272, "fos_yielding": 3.02291827402079, "deflection": 0.0024963305159639297, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.004709)" }, "parent_node_id": "node_817", "improvement_over_parent": null }, "node_819": { "node_id": "node_819", "content": "MODIFICATION: Increase 1 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n\nPerformance:\n Mass: 190.61 kg\n Factor of Safety: 0.98\n Max Deflection: 2.43e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 190.61499343621767, "fos_buckling": 0.9831914590668491, "fos_yielding": 3.4809029585006157, "deflection": 0.0024349086279204127, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.199)" }, "parent_node_id": "node_818", "improvement_over_parent": null }, "node_820": { "node_id": "node_820", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 203.94 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93852750786291, "fos_buckling": 1.543709228325073, "fos_yielding": 4.252596169505845, "deflection": 0.0020068902562059296, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.004024)" }, "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n\nPerformance:\n Mass: 112.47 kg\n Factor of Safety: 1.24\n Max Deflection: 6.47e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 112.47205326561557, "fos_buckling": 1.2397809704740081, "fos_yielding": 2.691909888630315, "deflection": 6472158579049.393, "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 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n\nPerformance:\n Mass: 124.39 kg\n Factor of Safety: 0.26\n Max Deflection: 7.57e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 124.38737939506672, "fos_buckling": 0.2552329115904921, "fos_yielding": 1.3437066934293354, "deflection": 0.007569594669986344, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.002963)" }, "parent_node_id": "node_822", "improvement_over_parent": null }, "node_824": { "node_id": "node_824", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0042)]\n\nPerformance:\n Mass: 148.53 kg\n Factor of Safety: 1.02\n Max Deflection: 2.75e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 148.53147731183236, "fos_buckling": 1.0217307869852115, "fos_yielding": 3.2754993483579744, "deflection": 0.0027505539556821703, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.004218)" }, "parent_node_id": "node_823", "improvement_over_parent": null }, "node_825": { "node_id": "node_825", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n\nPerformance:\n Mass: 192.65 kg\n Factor of Safety: 1.27\n Max Deflection: 2.13e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 192.64608942677089, "fos_buckling": 1.266107656722015, "fos_yielding": 4.236697391746605, "deflection": 0.002127204289441224, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.326)" }, "parent_node_id": "node_824", "improvement_over_parent": null }, "node_826": { "node_id": "node_826", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n\nPerformance:\n Mass: 201.86 kg\n Factor of Safety: 1.54\n Max Deflection: 2.02e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 201.86288358174394, "fos_buckling": 1.5436612904592473, "fos_yielding": 4.252202972935718, "deflection": 0.0020155547648348865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.002688)" }, "parent_node_id": "node_825", "improvement_over_parent": null }, "node_827": { "node_id": "node_827", "content": "MODIFICATION: Increase 11 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0055)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n\nPerformance:\n Mass: 206.13 kg\n Factor of Safety: 1.55\n Max Deflection: 1.99e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 206.12952999212888, "fos_buckling": 1.5470501993885553, "fos_yielding": 4.261538135197851, "deflection": 0.00199298066718427, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.252)" }, "parent_node_id": "node_826", "improvement_over_parent": null }, "node_828": { "node_id": "node_828", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_827", "improvement_over_parent": null }, "node_829": { "node_id": "node_829", "content": "INITIAL DESIGN (Trace 118)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0011)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0020)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0012)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0014)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0022)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0018)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0022)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0018)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0018)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0023)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0021)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0030)]\n\nPerformance:\n Mass: 94.15 kg\n Factor of Safety: 0.21\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": 94.15230294240345, "fos_buckling": 0.20698716776696394, "fos_yielding": 1.3105000578627566, "deflection": 0.010745977317848085, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_830": { "node_id": "node_830", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0014)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0027)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0023)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0027)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0038)]\n\nPerformance:\n Mass: 117.06 kg\n Factor of Safety: 0.25\n Max Deflection: 8.66e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 117.05534831153967, "fos_buckling": 0.2507425779838693, "fos_yielding": 1.625575386825989, "deflection": 0.008661822468271498, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.258)" }, "parent_node_id": "node_829", "improvement_over_parent": null }, "node_831": { "node_id": "node_831", "content": "MODIFICATION: Increase 5 thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0014)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0035)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0023)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0027)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0038)]\n\nPerformance:\n Mass: 120.07 kg\n Factor of Safety: 0.25\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": 120.06869099398472, "fos_buckling": 0.25074257798386945, "fos_yielding": 1.6255753868259886, "deflection": 0.008386537187813358, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.267)" }, "parent_node_id": "node_830", "improvement_over_parent": null }, "node_832": { "node_id": "node_832", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0045)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0049)]\n\nPerformance:\n Mass: 152.23 kg\n Factor of Safety: 0.31\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": 152.23017255614093, "fos_buckling": 0.30664161096327996, "fos_yielding": 2.055340179435248, "deflection": 0.00663571310911039, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.290)" }, "parent_node_id": "node_831", "improvement_over_parent": null }, "node_833": { "node_id": "node_833", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0045)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0049)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n\nPerformance:\n Mass: 158.60 kg\n Factor of Safety: 0.31\n Max Deflection: 3.61e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 158.60470395636676, "fos_buckling": 0.30624665569547954, "fos_yielding": 2.232825166073569, "deflection": 0.003611857317981391, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.003102)" }, "parent_node_id": "node_832", "improvement_over_parent": null }, "node_834": { "node_id": "node_834", "content": "MODIFICATION: Increase 0 thickness by 52%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0045)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0049)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n\nPerformance:\n Mass: 160.18 kg\n Factor of Safety: 0.31\n Max Deflection: 3.61e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 160.18356761911704, "fos_buckling": 0.3061815377142003, "fos_yielding": 2.232350394954734, "deflection": 0.0036123783531796603, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.524)" }, "parent_node_id": "node_833", "improvement_over_parent": null }, "node_835": { "node_id": "node_835", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0045)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0049)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0041)]\n\nPerformance:\n Mass: 179.76 kg\n Factor of Safety: 1.39\n Max Deflection: 2.27e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 179.75559116212477, "fos_buckling": 1.3919023612672303, "fos_yielding": 3.754196654754356, "deflection": 0.002273403391947251, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.004103)" }, "parent_node_id": "node_834", "improvement_over_parent": null }, "node_836": { "node_id": "node_836", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n\nPerformance:\n Mass: 203.97 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.96842842697492, "fos_buckling": 1.5440293684358823, "fos_yielding": 4.253683835546517, "deflection": 0.002006578945684617, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.148)" }, "parent_node_id": "node_835", "improvement_over_parent": null }, "node_837": { "node_id": "node_837", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_836", "improvement_over_parent": null }, "node_838": { "node_id": "node_838", "content": "INITIAL DESIGN (Trace 119)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0025)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0022)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0042)]\n\nPerformance:\n Mass: 150.44 kg\n Factor of Safety: 1.06\n Max Deflection: 2.69e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 150.43827113039777, "fos_buckling": 1.063005631728646, "fos_yielding": 3.206618821297953, "deflection": 0.0026872120209346516, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_839": { "node_id": "node_839", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 195.27 kg\n Factor of Safety: 1.35\n Max Deflection: 2.08e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 195.26737908896314, "fos_buckling": 1.3525209104145723, "fos_yielding": 4.150692331249625, "deflection": 0.0020758663803391994, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.326)" }, "parent_node_id": "node_838", "improvement_over_parent": null }, "node_840": { "node_id": "node_840", "content": "MODIFICATION: Increase 8 thickness by 62%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 200.07 kg\n Factor of Safety: 1.51\n Max Deflection: 2.02e-03 m\n Status: FEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 200.067723182305, "fos_buckling": 1.507449146731287, "fos_yielding": 4.267852935449642, "deflection": 0.002024089969968464, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.618)" }, "parent_node_id": "node_839", "improvement_over_parent": null }, "node_841": { "node_id": "node_841", "content": "MODIFICATION: Increase 13 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.95 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.94916879195614, "fos_buckling": 1.5437687489324443, "fos_yielding": 4.252840655742715, "deflection": 0.002006839115655267, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.364)" }, "parent_node_id": "node_840", "improvement_over_parent": null }, "node_842": { "node_id": "node_842", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_841", "improvement_over_parent": null }, "node_843": { "node_id": "node_843", "content": "INITIAL DESIGN (Trace 120)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0013)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0033)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0023)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0027)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0039)]\n\nPerformance:\n Mass: 142.24 kg\n Factor of Safety: 1.05\n Max Deflection: 2.95e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 142.2386108767308, "fos_buckling": 1.050424372900647, "fos_yielding": 2.4141638032341604, "deflection": 0.0029517733610438333, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_844": { "node_id": "node_844", "content": "MODIFICATION: Increase 2 thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0013)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0033)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0023)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0027)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0039)]\n\nPerformance:\n Mass: 143.44 kg\n Factor of Safety: 1.05\n Max Deflection: 2.86e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 143.43782280167147, "fos_buckling": 1.0537276928645831, "fos_yielding": 2.970620538960055, "deflection": 0.0028618135807731843, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.297)" }, "parent_node_id": "node_843", "improvement_over_parent": null }, "node_845": { "node_id": "node_845", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0017)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0048)]\n\nPerformance:\n Mass: 176.19 kg\n Factor of Safety: 1.25\n Max Deflection: 2.33e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 176.18646771254618, "fos_buckling": 1.254380599910599, "fos_yielding": 3.655156158543818, "deflection": 0.0023343826505207855, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.247)" }, "parent_node_id": "node_844", "improvement_over_parent": null }, "node_846": { "node_id": "node_846", "content": "MODIFICATION: Increase 0 thickness by 60%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0048)]\n\nPerformance:\n Mass: 177.89 kg\n Factor of Safety: 1.38\n Max Deflection: 2.30e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 177.89145627670734, "fos_buckling": 1.3797006402789287, "fos_yielding": 3.7161789113666175, "deflection": 0.0022969908538162903, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.597)" }, "parent_node_id": "node_845", "improvement_over_parent": null }, "node_847": { "node_id": "node_847", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.96 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.9603124041684, "fos_buckling": 1.543824291759467, "fos_yielding": 4.254078960646617, "deflection": 0.002006686318226989, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.161)" }, "parent_node_id": "node_846", "improvement_over_parent": null }, "node_848": { "node_id": "node_848", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_847", "improvement_over_parent": null }, "node_849": { "node_id": "node_849", "content": "INITIAL DESIGN (Trace 121)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0045)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0041)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0049)]\n\nPerformance:\n Mass: 165.87 kg\n Factor of Safety: 0.88\n Max Deflection: 2.74e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 165.8710613490885, "fos_buckling": 0.876289234301387, "fos_yielding": 3.1191271106373057, "deflection": 0.0027388592937319036, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_850": { "node_id": "node_850", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0045)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0041)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0049)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n\nPerformance:\n Mass: 169.27 kg\n Factor of Safety: 0.89\n Max Deflection: 2.74e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 169.2735492102007, "fos_buckling": 0.8904320500362669, "fos_yielding": 3.0939366553412344, "deflection": 0.0027393730533396476, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002276)" }, "parent_node_id": "node_849", "improvement_over_parent": null }, "node_851": { "node_id": "node_851", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0045)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0041)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0049)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n\nPerformance:\n Mass: 181.10 kg\n Factor of Safety: 1.40\n Max Deflection: 2.26e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 181.10422737046105, "fos_buckling": 1.4004788483107868, "fos_yielding": 3.781688707082315, "deflection": 0.002256740814160944, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.003534)" }, "parent_node_id": "node_850", "improvement_over_parent": null }, "node_852": { "node_id": "node_852", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 204.01 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.01328087716672, "fos_buckling": 1.5441816819064451, "fos_yielding": 4.254200634781314, "deflection": 0.0020062096057697396, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.139)" }, "parent_node_id": "node_851", "improvement_over_parent": null }, "node_853": { "node_id": "node_853", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_852", "improvement_over_parent": null }, "node_854": { "node_id": "node_854", "content": "INITIAL DESIGN (Trace 122)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0013)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0016)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0009)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0015)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0011)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0014)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0014)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0020)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0014)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0015)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0017)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0012)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0024)]\n\nPerformance:\n Mass: 86.89 kg\n Factor of Safety: 0.69\n Max Deflection: 4.59e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 86.89003574595304, "fos_buckling": 0.6850141574661103, "fos_yielding": 1.8518058339266716, "deflection": 0.004593467834770006, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_855": { "node_id": "node_855", "content": "MODIFICATION: Increase 14 thickness by 42%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0013)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0016)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0009)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0015)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0011)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0014)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0014)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0020)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0014)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0015)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0017)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0017)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0024)]\n\nPerformance:\n Mass: 88.87 kg\n Factor of Safety: 0.68\n Max Deflection: 4.55e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 88.87293935042626, "fos_buckling": 0.6781166027678236, "fos_yielding": 1.8941311401283019, "deflection": 0.0045530367411885245, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.422)" }, "parent_node_id": "node_854", "improvement_over_parent": null }, "node_856": { "node_id": "node_856", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0017)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0012)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0019)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0019)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0026)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0019)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0020)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0022)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0022)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0031)]\n\nPerformance:\n Mass: 116.64 kg\n Factor of Safety: 0.88\n Max Deflection: 3.48e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 116.63589550555908, "fos_buckling": 0.8751452004512124, "fos_yielding": 2.481360081684566, "deflection": 0.003475265338048929, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.328)" }, "parent_node_id": "node_855", "improvement_over_parent": null }, "node_857": { "node_id": "node_857", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0033)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0023)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0024)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0027)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0039)]\n\nPerformance:\n Mass: 143.07 kg\n Factor of Safety: 1.06\n Max Deflection: 2.84e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 143.06516399387513, "fos_buckling": 1.0560787755405237, "fos_yielding": 3.0383923336141185, "deflection": 0.002837917599075481, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.241)" }, "parent_node_id": "node_856", "improvement_over_parent": null }, "node_858": { "node_id": "node_858", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0038)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0045)]\n\nPerformance:\n Mass: 164.48 kg\n Factor of Safety: 1.20\n Max Deflection: 2.47e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 164.4816273668226, "fos_buckling": 1.1979174377840882, "fos_yielding": 3.4883470490161415, "deflection": 0.0024716928918716344, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.161)" }, "parent_node_id": "node_857", "improvement_over_parent": null }, "node_859": { "node_id": "node_859", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 200.63 kg\n Factor of Safety: 1.43\n Max Deflection: 2.03e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 200.63421161028774, "fos_buckling": 1.4275641986076804, "fos_yielding": 4.244994813423167, "deflection": 0.00203087567931286, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.241)" }, "parent_node_id": "node_858", "improvement_over_parent": null }, "node_860": { "node_id": "node_860", "content": "MODIFICATION: Increase 12 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 204.09 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.08510888268262, "fos_buckling": 1.5446594412984327, "fos_yielding": 4.255792931401544, "deflection": 0.002005520613906889, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.242)" }, "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "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 123)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0048)]\n\nPerformance:\n Mass: 147.68 kg\n Factor of Safety: 0.21\n Max Deflection: 9.97e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 147.68067521261423, "fos_buckling": 0.21071247347054928, "fos_yielding": 0.9706898849788557, "deflection": 9967960412001.672, "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 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0048)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n\nPerformance:\n Mass: 164.17 kg\n Factor of Safety: 0.42\n Max Deflection: 6.84e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 164.1738501177054, "fos_buckling": 0.4197414190526084, "fos_yielding": 1.9679831035428093, "deflection": 0.006835607913501326, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.003721)" }, "parent_node_id": "node_862", "improvement_over_parent": null }, "node_864": { "node_id": "node_864", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0048)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n\nPerformance:\n Mass: 167.48 kg\n Factor of Safety: 0.42\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": 167.48246906810385, "fos_buckling": 0.41964712600275367, "fos_yielding": 2.0109738087579343, "deflection": 0.006026363207905993, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002208)" }, "parent_node_id": "node_863", "improvement_over_parent": null }, "node_865": { "node_id": "node_865", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0048)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n\nPerformance:\n Mass: 173.73 kg\n Factor of Safety: 1.36\n Max Deflection: 2.46e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 173.72606126070286, "fos_buckling": 1.3604423466812106, "fos_yielding": 2.4702398863428168, "deflection": 0.0024619284223815585, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.003033)" }, "parent_node_id": "node_864", "improvement_over_parent": null }, "node_866": { "node_id": "node_866", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n\nPerformance:\n Mass: 201.27 kg\n Factor of Safety: 1.53\n Max Deflection: 2.13e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 201.2686745581609, "fos_buckling": 1.5348038335080683, "fos_yielding": 2.8702052448733855, "deflection": 0.002127233903271587, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.174)" }, "parent_node_id": "node_865", "improvement_over_parent": null }, "node_867": { "node_id": "node_867", "content": "MODIFICATION: Increase 2 thickness by 58%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n\nPerformance:\n Mass: 203.95 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.94937123433073, "fos_buckling": 1.5439107990426806, "fos_yielding": 4.24971593512752, "deflection": 0.0020069662418332624, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.582)" }, "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "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 124)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0042)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0021)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0046)]\n\nPerformance:\n Mass: 139.37 kg\n Factor of Safety: 0.29\n Max Deflection: 3.89e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 139.36857624767103, "fos_buckling": 0.29487381383000255, "fos_yielding": 2.1344986827201455, "deflection": 0.003886338050824733, "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 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0042)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0021)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0046)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0030)]\n\nPerformance:\n Mass: 153.90 kg\n Factor of Safety: 0.85\n Max Deflection: 2.96e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 153.89752738611463, "fos_buckling": 0.8488415647634978, "fos_yielding": 2.9314529947456944, "deflection": 0.002956665745402615, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.002982)" }, "parent_node_id": "node_869", "improvement_over_parent": null }, "node_871": { "node_id": "node_871", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0042)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0021)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0046)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0030)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n\nPerformance:\n Mass: 165.10 kg\n Factor of Safety: 1.14\n Max Deflection: 2.45e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 165.09609895762853, "fos_buckling": 1.1390266074605242, "fos_yielding": 3.5837080246232635, "deflection": 0.0024467338027926006, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.003330)" }, "parent_node_id": "node_870", "improvement_over_parent": null }, "node_872": { "node_id": "node_872", "content": "MODIFICATION: Increase 10 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0042)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0021)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0047)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0046)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0030)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n\nPerformance:\n Mass: 169.55 kg\n Factor of Safety: 1.15\n Max Deflection: 2.41e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 169.54873586750176, "fos_buckling": 1.146044416167178, "fos_yielding": 3.591912158893434, "deflection": 0.0024137136442983287, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.307)" }, "parent_node_id": "node_871", "improvement_over_parent": null }, "node_873": { "node_id": "node_873", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0025)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0057)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 201.63 kg\n Factor of Safety: 1.33\n Max Deflection: 2.03e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 201.63231094246643, "fos_buckling": 1.3337450404713893, "fos_yielding": 4.264351589165721, "deflection": 0.0020333737727387647, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.208)" }, "parent_node_id": "node_872", "improvement_over_parent": null }, "node_874": { "node_id": "node_874", "content": "MODIFICATION: Increase 11 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0025)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0057)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0052)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 206.09 kg\n Factor of Safety: 1.33\n Max Deflection: 2.02e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 206.08524316341737, "fos_buckling": 1.3251575893386869, "fos_yielding": 4.252686160420908, "deflection": 0.0020224386014308228, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.325)" }, "parent_node_id": "node_873", "improvement_over_parent": null }, "node_875": { "node_id": "node_875", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_874", "improvement_over_parent": null }, "node_876": { "node_id": "node_876", "content": "INITIAL DESIGN (Trace 125)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0014)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0016)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0010)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0016)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0012)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0015)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0012)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0021)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0015)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0019)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0018)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0017)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0025)]\n\nPerformance:\n Mass: 94.25 kg\n Factor of Safety: 0.77\n Max Deflection: 4.29e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 94.25097120053127, "fos_buckling": 0.7680186793035446, "fos_yielding": 1.9733827551961733, "deflection": 0.004289313331011168, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_877": { "node_id": "node_877", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0015)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0027)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0020)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0025)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0023)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0032)]\n\nPerformance:\n Mass: 121.57 kg\n Factor of Safety: 0.97\n Max Deflection: 3.33e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 121.56644970620542, "fos_buckling": 0.971530466547246, "fos_yielding": 2.5411257155026123, "deflection": 0.003331495088937305, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.305)" }, "parent_node_id": "node_876", "improvement_over_parent": null }, "node_878": { "node_id": "node_878", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0017)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0031)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0022)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0026)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0037)]\n\nPerformance:\n Mass: 136.13 kg\n Factor of Safety: 1.08\n Max Deflection: 2.98e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 136.1289966422167, "fos_buckling": 1.0765626849895036, "fos_yielding": 2.843046226859401, "deflection": 0.002977950650149843, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.127)" }, "parent_node_id": "node_877", "improvement_over_parent": null }, "node_879": { "node_id": "node_879", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n\nPerformance:\n Mass: 158.35 kg\n Factor of Safety: 1.23\n Max Deflection: 2.56e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 158.35240117052618, "fos_buckling": 1.2322247421882349, "fos_yielding": 3.302788339341233, "deflection": 0.0025637570927266144, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.175)" }, "parent_node_id": "node_878", "improvement_over_parent": null }, "node_880": { "node_id": "node_880", "content": "MODIFICATION: Increase 9 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n\nPerformance:\n Mass: 160.04 kg\n Factor of Safety: 1.26\n Max Deflection: 2.55e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 160.04129414613757, "fos_buckling": 1.261790084475601, "fos_yielding": 3.346105454353096, "deflection": 0.0025503560838624462, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.311)" }, "parent_node_id": "node_879", "improvement_over_parent": null }, "node_881": { "node_id": "node_881", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.78 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.78233270275797, "fos_buckling": 1.542768409716145, "fos_yielding": 4.249444796267402, "deflection": 0.0020084431973377915, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.300)" }, "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "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 126)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0013)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0016)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0031)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0015)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0020)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0024)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0034)]\n\nPerformance:\n Mass: 98.31 kg\n Factor of Safety: 0.19\n Max Deflection: 7.21e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 98.30645312379045, "fos_buckling": 0.19285028950287839, "fos_yielding": 1.1497437711862863, "deflection": 7214573876068.76, "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 8 thickness by 38%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0013)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0016)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0031)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0020)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0024)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0034)]\n\nPerformance:\n Mass: 99.90 kg\n Factor of Safety: 0.19\n Max Deflection: 7.21e+12 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 99.89611654204955, "fos_buckling": 0.19285028950287839, "fos_yielding": 1.1497437711862863, "deflection": 7214573876068.76, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.379)" }, "parent_node_id": "node_883", "improvement_over_parent": null }, "node_885": { "node_id": "node_885", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n\nPerformance:\n Mass: 125.41 kg\n Factor of Safety: 0.18\n Max Deflection: 8.22e+12 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 125.4100758839187, "fos_buckling": 0.1846383617157681, "fos_yielding": 0.6783626427351186, "deflection": 8216725190542.459, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.274)" }, "parent_node_id": "node_884", "improvement_over_parent": null }, "node_886": { "node_id": "node_886", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 158.99 kg\n Factor of Safety: 0.04\n Max Deflection: 6.96e+13 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 158.99479222302432, "fos_buckling": 0.036210370200069356, "fos_yielding": 0.12430918271678076, "deflection": 69563720549032.32, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.294)" }, "parent_node_id": "node_885", "improvement_over_parent": null }, "node_887": { "node_id": "node_887", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n\nPerformance:\n Mass: 166.23 kg\n Factor of Safety: 0.34\n Max Deflection: 2.87e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 166.22593801123273, "fos_buckling": 0.34042213313366493, "fos_yielding": 2.5352424179876576, "deflection": 0.0028738037235736904, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.003560)" }, "parent_node_id": "node_886", "improvement_over_parent": null }, "node_888": { "node_id": "node_888", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n\nPerformance:\n Mass: 181.81 kg\n Factor of Safety: 0.34\n Max Deflection: 3.19e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 181.80727464368528, "fos_buckling": 0.339353284317496, "fos_yielding": 2.527282327871827, "deflection": 0.0031893121478502253, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.003945)" }, "parent_node_id": "node_887", "improvement_over_parent": null }, "node_889": { "node_id": "node_889", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n\nPerformance:\n Mass: 204.01 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.01025932739907, "fos_buckling": 1.5442985856178184, "fos_yielding": 4.254591427008017, "deflection": 0.0020062184948109163, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.004709)" }, "parent_node_id": "node_888", "improvement_over_parent": null }, "node_890": { "node_id": "node_890", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_889", "improvement_over_parent": null }, "node_891": { "node_id": "node_891", "content": "INITIAL DESIGN (Trace 127)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 154.07 kg\n Factor of Safety: 0.32\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": 154.0699163592831, "fos_buckling": 0.3171260700119474, "fos_yielding": 1.7396115653797024, "deflection": 0.007909233686831527, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_892": { "node_id": "node_892", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n\nPerformance:\n Mass: 161.30 kg\n Factor of Safety: 0.32\n Max Deflection: 5.85e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 161.3010621474915, "fos_buckling": 0.3168932145476129, "fos_yielding": 1.7383304707202993, "deflection": 0.005851160369781007, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.003560)" }, "parent_node_id": "node_891", "improvement_over_parent": null }, "node_893": { "node_id": "node_893", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n\nPerformance:\n Mass: 172.63 kg\n Factor of Safety: 0.32\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": 172.62570414959836, "fos_buckling": 0.316771792626425, "fos_yielding": 1.7376624491896921, "deflection": 0.0056855980807163035, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.003363)" }, "parent_node_id": "node_892", "improvement_over_parent": null }, "node_894": { "node_id": "node_894", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n\nPerformance:\n Mass: 203.94 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.9352544945272, "fos_buckling": 1.5438381177361686, "fos_yielding": 4.25251080430501, "deflection": 0.0020069536467397326, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.005592)" }, "parent_node_id": "node_893", "improvement_over_parent": null }, "node_895": { "node_id": "node_895", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_894", "improvement_over_parent": null }, "node_896": { "node_id": "node_896", "content": "INITIAL DESIGN (Trace 128)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0015)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0017)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0011)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0017)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0024)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0016)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0016)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0022)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0016)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0021)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0019)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0019)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0027)]\n\nPerformance:\n Mass: 92.92 kg\n Factor of Safety: 0.52\n Max Deflection: 4.87e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 92.92040559684125, "fos_buckling": 0.5227194929437347, "fos_yielding": 1.754752492003786, "deflection": 0.004873411316447382, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_897": { "node_id": "node_897", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0031)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0029)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0021)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0024)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0034)]\n\nPerformance:\n Mass: 118.44 kg\n Factor of Safety: 0.65\n Max Deflection: 3.83e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 118.43520780950261, "fos_buckling": 0.652100741535294, "fos_yielding": 2.233265457898264, "deflection": 0.003827825828466847, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.290)" }, "parent_node_id": "node_896", "improvement_over_parent": null }, "node_898": { "node_id": "node_898", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0031)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0029)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0021)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0024)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0034)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0016)]\n\nPerformance:\n Mass: 120.87 kg\n Factor of Safety: 0.66\n Max Deflection: 3.83e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 120.86583984709785, "fos_buckling": 0.6637408295553593, "fos_yielding": 2.2135621284423688, "deflection": 0.00382828942970307, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.001588)" }, "parent_node_id": "node_897", "improvement_over_parent": null }, "node_899": { "node_id": "node_899", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n\nPerformance:\n Mass: 150.83 kg\n Factor of Safety: 0.81\n Max Deflection: 3.07e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 150.826823902321, "fos_buckling": 0.8066904185090873, "fos_yielding": 2.758849113367665, "deflection": 0.003071916464061626, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.266)" }, "parent_node_id": "node_898", "improvement_over_parent": null }, "node_900": { "node_id": "node_900", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n\nPerformance:\n Mass: 161.37 kg\n Factor of Safety: 1.27\n Max Deflection: 2.53e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 161.37133884450108, "fos_buckling": 1.270743389050139, "fos_yielding": 3.373651132108975, "deflection": 0.0025295769246591747, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.003121)" }, "parent_node_id": "node_899", "improvement_over_parent": null }, "node_901": { "node_id": "node_901", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 203.85 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.85457856766706, "fos_buckling": 1.543223278196431, "fos_yielding": 4.25094198046596, "deflection": 0.002007763598711488, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.289)" }, "parent_node_id": "node_900", "improvement_over_parent": null }, "node_902": { "node_id": "node_902", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_901", "improvement_over_parent": null }, "node_903": { "node_id": "node_903", "content": "INITIAL DESIGN (Trace 129)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0012)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0017)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0020)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0023)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0033)]\n\nPerformance:\n Mass: 113.66 kg\n Factor of Safety: 0.71\n Max Deflection: 3.50e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 113.66337580287166, "fos_buckling": 0.7080381197622516, "fos_yielding": 2.0452141143648177, "deflection": 0.003503151644182181, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_904": { "node_id": "node_904", "content": "MODIFICATION: Increase 10 thickness by 61%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0012)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0028)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0020)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0023)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0033)]\n\nPerformance:\n Mass: 118.60 kg\n Factor of Safety: 0.80\n Max Deflection: 3.37e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 118.59923446649069, "fos_buckling": 0.8028918502791906, "fos_yielding": 2.126197151059162, "deflection": 0.0033678841881929185, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.605)" }, "parent_node_id": "node_903", "improvement_over_parent": null }, "node_905": { "node_id": "node_905", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0015)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0034)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0024)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0032)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0029)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0041)]\n\nPerformance:\n Mass: 144.87 kg\n Factor of Safety: 0.97\n Max Deflection: 2.76e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 144.8721038392657, "fos_buckling": 0.9662625727095963, "fos_yielding": 2.6018408891303446, "deflection": 0.0027621790736843286, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.236)" }, "parent_node_id": "node_904", "improvement_over_parent": null }, "node_906": { "node_id": "node_906", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0019)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0042)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0035)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0049)]\n\nPerformance:\n Mass: 173.67 kg\n Factor of Safety: 1.14\n Max Deflection: 2.31e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 173.67117597883845, "fos_buckling": 1.1392378196573725, "fos_yielding": 3.1256234680459616, "deflection": 0.0023087903614123443, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.215)" }, "parent_node_id": "node_905", "improvement_over_parent": null }, "node_907": { "node_id": "node_907", "content": "MODIFICATION: Increase 6 thickness by 38%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0045)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0019)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0042)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0035)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0049)]\n\nPerformance:\n Mass: 178.68 kg\n Factor of Safety: 1.23\n Max Deflection: 2.27e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 178.6765845950917, "fos_buckling": 1.2265560485297533, "fos_yielding": 3.7055909978110004, "deflection": 0.002270634033289582, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.381)" }, "parent_node_id": "node_906", "improvement_over_parent": null }, "node_908": { "node_id": "node_908", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 200.49 kg\n Factor of Safety: 1.36\n Max Deflection: 2.03e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 200.492228617973, "fos_buckling": 1.3589469762270865, "fos_yielding": 4.152830982182449, "deflection": 0.0020264709596638747, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.134)" }, "parent_node_id": "node_907", "improvement_over_parent": null }, "node_909": { "node_id": "node_909", "content": "MODIFICATION: Increase 9 thickness by 61%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.91 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.90850157171957, "fos_buckling": 1.543471864983607, "fos_yielding": 4.251779737409965, "deflection": 0.002007311096163242, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.608)" }, "parent_node_id": "node_908", "improvement_over_parent": null }, "node_910": { "node_id": "node_910", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_909", "improvement_over_parent": null }, "node_911": { "node_id": "node_911", "content": "INITIAL DESIGN (Trace 130)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, 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_912": { "node_id": "node_912", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n\nPerformance:\n Mass: 151.78 kg\n Factor of Safety: 1.04\n Max Deflection: 2.69e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 151.77801013908953, "fos_buckling": 1.0406278197161691, "fos_yielding": 3.346481439498842, "deflection": 0.0026923589060981724, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.001715)" }, "parent_node_id": "node_911", "improvement_over_parent": null }, "node_913": { "node_id": "node_913", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n\nPerformance:\n Mass: 160.70 kg\n Factor of Safety: 1.27\n Max Deflection: 2.54e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 160.70108909427375, "fos_buckling": 1.2662372071912469, "fos_yielding": 3.3597822077807677, "deflection": 0.0025399986327105106, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.002596)" }, "parent_node_id": "node_912", "improvement_over_parent": null }, "node_914": { "node_id": "node_914", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n\nPerformance:\n Mass: 203.89 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.886769577682, "fos_buckling": 1.5434158980419075, "fos_yielding": 4.251615322854904, "deflection": 0.0020074337631850485, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.295)" }, "parent_node_id": "node_913", "improvement_over_parent": null }, "node_915": { "node_id": "node_915", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_914", "improvement_over_parent": null }, "node_916": { "node_id": "node_916", "content": "INITIAL DESIGN (Trace 131)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0025)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0037)]\n\nPerformance:\n Mass: 135.81 kg\n Factor of Safety: 0.29\n Max Deflection: 4.21e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 135.8064818066815, "fos_buckling": 0.29385797601221997, "fos_yielding": 2.1260423555679333, "deflection": 0.004205344644359162, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_917": { "node_id": "node_917", "content": "MODIFICATION: Increase 9 thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0025)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0037)]\n\nPerformance:\n Mass: 137.70 kg\n Factor of Safety: 0.29\n Max Deflection: 4.19e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 137.69556803197403, "fos_buckling": 0.29385797601222, "fos_yielding": 2.1260423555679338, "deflection": 0.004189075060765446, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.332)" }, "parent_node_id": "node_916", "improvement_over_parent": null }, "node_918": { "node_id": "node_918", "content": "MODIFICATION: Increase 13 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0037)]\n\nPerformance:\n Mass: 140.63 kg\n Factor of Safety: 0.29\n Max Deflection: 4.17e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 140.62841236450092, "fos_buckling": 0.29379982447705694, "fos_yielding": 2.125621633188791, "deflection": 0.004165889025143926, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.316)" }, "parent_node_id": "node_917", "improvement_over_parent": null }, "node_919": { "node_id": "node_919", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0037)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n\nPerformance:\n Mass: 159.23 kg\n Factor of Safety: 1.12\n Max Deflection: 2.59e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 159.22875977523358, "fos_buckling": 1.1225941044867578, "fos_yielding": 3.0832102466271927, "deflection": 0.002591227815842664, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.003883)" }, "parent_node_id": "node_918", "improvement_over_parent": null }, "node_920": { "node_id": "node_920", "content": "MODIFICATION: Increase 7 thickness by 58%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0037)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n\nPerformance:\n Mass: 162.06 kg\n Factor of Safety: 1.14\n Max Deflection: 2.57e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 162.06194724520742, "fos_buckling": 1.1387473840627762, "fos_yielding": 3.1275753086797717, "deflection": 0.00257168151243129, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.582)" }, "parent_node_id": "node_919", "improvement_over_parent": null }, "node_921": { "node_id": "node_921", "content": "MODIFICATION: Increase 6 thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0042)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0037)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n\nPerformance:\n Mass: 165.78 kg\n Factor of Safety: 1.15\n Max Deflection: 2.54e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 165.7817676337478, "fos_buckling": 1.1466081098021006, "fos_yielding": 3.6434638853972876, "deflection": 0.002541308036038702, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.279)" }, "parent_node_id": "node_920", "improvement_over_parent": null }, "node_922": { "node_id": "node_922", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n\nPerformance:\n Mass: 197.87 kg\n Factor of Safety: 1.34\n Max Deflection: 2.13e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 197.87147984679774, "fos_buckling": 1.338098988662038, "fos_yielding": 4.337284390095297, "deflection": 0.0021322058561947434, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.212)" }, "parent_node_id": "node_921", "improvement_over_parent": null }, "node_923": { "node_id": "node_923", "content": "MODIFICATION: Increase 15 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0059)]\n\nPerformance:\n Mass: 202.94 kg\n Factor of Safety: 1.34\n Max Deflection: 2.10e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 202.94238628238358, "fos_buckling": 1.3371502790656156, "fos_yielding": 4.351860921035357, "deflection": 0.002104647633430526, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(15, thickness, 1.258)" }, "parent_node_id": "node_922", "improvement_over_parent": null }, "node_924": { "node_id": "node_924", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_923", "improvement_over_parent": null }, "node_925": { "node_id": "node_925", "content": "INITIAL DESIGN (Trace 132)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0015)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0018)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0011)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0017)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0013)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0017)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0017)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0023)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0016)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0021)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0019)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0019)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0027)]\n\nPerformance:\n Mass: 103.33 kg\n Factor of Safety: 0.86\n Max Deflection: 3.94e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 103.33003416008819, "fos_buckling": 0.8569233184746771, "fos_yielding": 2.1678003395168486, "deflection": 0.003936021221565533, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_926": { "node_id": "node_926", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0032)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0030)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0021)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0025)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0035)]\n\nPerformance:\n Mass: 133.12 kg\n Factor of Safety: 1.08\n Max Deflection: 3.06e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 133.11722124958743, "fos_buckling": 1.0753141929751342, "fos_yielding": 2.7877020354236772, "deflection": 0.003061015466338555, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.305)" }, "parent_node_id": "node_925", "improvement_over_parent": null }, "node_927": { "node_id": "node_927", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n\nPerformance:\n Mass: 161.52 kg\n Factor of Safety: 1.27\n Max Deflection: 2.53e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 161.5196401377938, "fos_buckling": 1.271732481793513, "fos_yielding": 3.3767152747801026, "deflection": 0.0025272653542329324, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.229)" }, "parent_node_id": "node_926", "improvement_over_parent": null }, "node_928": { "node_id": "node_928", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 204.04 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.03752711403905, "fos_buckling": 1.544332096325533, "fos_yielding": 4.254703118672295, "deflection": 0.002005976407749425, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.289)" }, "parent_node_id": "node_927", "improvement_over_parent": null }, "node_929": { "node_id": "node_929", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_928", "improvement_over_parent": null }, "node_930": { "node_id": "node_930", "content": "INITIAL DESIGN (Trace 133)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0017)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0020)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0012)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0028)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0019)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0022)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0019)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0026)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0018)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0024)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0022)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0022)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0021)]\n\nPerformance:\n Mass: 109.00 kg\n Factor of Safety: 0.57\n Max Deflection: 4.39e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 108.99989874677027, "fos_buckling": 0.5687308662062805, "fos_yielding": 1.85773706213327, "deflection": 0.004390903565515275, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_931": { "node_id": "node_931", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0024)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0028)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0028)]\n\nPerformance:\n Mass: 140.24 kg\n Factor of Safety: 0.72\n Max Deflection: 3.41e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 140.24186782694454, "fos_buckling": 0.7193491772571547, "fos_yielding": 2.39543298565378, "deflection": 0.0034140621731446204, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.305)" }, "parent_node_id": "node_930", "improvement_over_parent": null }, "node_932": { "node_id": "node_932", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0024)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0028)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0028)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0019)]\n\nPerformance:\n Mass: 143.06 kg\n Factor of Safety: 0.93\n Max Deflection: 3.01e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 143.05690947628344, "fos_buckling": 0.9277006051197497, "fos_yielding": 3.0892433057171713, "deflection": 0.0030138636677565053, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.001856)" }, "parent_node_id": "node_931", "improvement_over_parent": null }, "node_933": { "node_id": "node_933", "content": "MODIFICATION: Increase 15 thickness by 44%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0024)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0028)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0028)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0027)]\n\nPerformance:\n Mass: 144.19 kg\n Factor of Safety: 0.94\n Max Deflection: 3.00e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 144.18976504463794, "fos_buckling": 0.937360231668662, "fos_yielding": 3.121409865151617, "deflection": 0.0029997309951470437, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(15, thickness, 1.443)" }, "parent_node_id": "node_932", "improvement_over_parent": null }, "node_934": { "node_id": "node_934", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0045)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0034)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0033)]\n\nPerformance:\n Mass: 174.04 kg\n Factor of Safety: 1.11\n Max Deflection: 2.49e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 174.03652845013414, "fos_buckling": 1.1122354670583678, "fos_yielding": 3.772643896337262, "deflection": 0.0024874583772489535, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.224)" }, "parent_node_id": "node_933", "improvement_over_parent": null }, "node_935": { "node_id": "node_935", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0039)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0037)]\n\nPerformance:\n Mass: 196.58 kg\n Factor of Safety: 1.24\n Max Deflection: 2.20e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 196.57719959492024, "fos_buckling": 1.2399016701495722, "fos_yielding": 4.266144762856181, "deflection": 0.002203604985614256, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.142)" }, "parent_node_id": "node_934", "improvement_over_parent": null }, "node_936": { "node_id": "node_936", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_935", "improvement_over_parent": null }, "node_937": { "node_id": "node_937", "content": "INITIAL DESIGN (Trace 134)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0013)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0027)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0019)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0020)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0032)]\n\nPerformance:\n Mass: 99.68 kg\n Factor of Safety: 0.51\n Max Deflection: 4.18e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 99.68211775106448, "fos_buckling": 0.5064389438421791, "fos_yielding": 2.114010392430766, "deflection": 0.0041805407669618135, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_938": { "node_id": "node_938", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0014)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0030)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0022)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0023)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0036)]\n\nPerformance:\n Mass: 110.89 kg\n Factor of Safety: 0.56\n Max Deflection: 3.76e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 110.89446282385005, "fos_buckling": 0.5588765463080356, "fos_yielding": 2.3497459918807584, "deflection": 0.0037605995496853787, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.119)" }, "parent_node_id": "node_937", "improvement_over_parent": null }, "node_939": { "node_id": "node_939", "content": "MODIFICATION: Increase 9 thickness by 53%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0030)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0022)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0023)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0036)]\n\nPerformance:\n Mass: 113.03 kg\n Factor of Safety: 0.56\n Max Deflection: 3.76e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 113.0258367069565, "fos_buckling": 0.5588765463080356, "fos_yielding": 2.3497459918807584, "deflection": 0.0037605995496853787, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.529)" }, "parent_node_id": "node_938", "improvement_over_parent": null }, "node_940": { "node_id": "node_940", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0030)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0022)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0023)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0036)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0025)]\n\nPerformance:\n Mass: 123.34 kg\n Factor of Safety: 0.56\n Max Deflection: 3.40e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 123.3417539196426, "fos_buckling": 0.5584814386099183, "fos_yielding": 2.3480951664555993, "deflection": 0.0034007625832673124, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.002541)" }, "parent_node_id": "node_939", "improvement_over_parent": null }, "node_941": { "node_id": "node_941", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0047)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n\nPerformance:\n Mass: 156.53 kg\n Factor of Safety: 0.69\n Max Deflection: 2.68e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 156.52687056082172, "fos_buckling": 0.6934438610036704, "fos_yielding": 2.9730962577483955, "deflection": 0.002683823264038427, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.290)" }, "parent_node_id": "node_940", "improvement_over_parent": null }, "node_942": { "node_id": "node_942", "content": "MODIFICATION: Increase 12 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0047)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n\nPerformance:\n Mass: 159.62 kg\n Factor of Safety: 0.83\n Max Deflection: 2.59e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 159.62015449698265, "fos_buckling": 0.8335585721024282, "fos_yielding": 2.9721589130559445, "deflection": 0.002592785196130997, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.255)" }, "parent_node_id": "node_941", "improvement_over_parent": null }, "node_943": { "node_id": "node_943", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 188.54 kg\n Factor of Safety: 0.96\n Max Deflection: 2.20e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 188.53656049062343, "fos_buckling": 0.9577971670032539, "fos_yielding": 3.504496114815687, "deflection": 0.0021988243581568924, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.199)" }, "parent_node_id": "node_942", "improvement_over_parent": null }, "node_944": { "node_id": "node_944", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n\nPerformance:\n Mass: 204.12 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.11789712307598, "fos_buckling": 1.5449342327257147, "fos_yielding": 4.2567262915180795, "deflection": 0.0020050931834242293, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.003945)" }, "parent_node_id": "node_943", "improvement_over_parent": null }, "node_945": { "node_id": "node_945", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_944", "improvement_over_parent": null }, "node_946": { "node_id": "node_946", "content": "INITIAL DESIGN (Trace 135)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 176.61 kg\n Factor of Safety: 1.13\n Max Deflection: 2.76e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 176.60536811118823, "fos_buckling": 1.1322989082891908, "fos_yielding": 3.2811735282106027, "deflection": 0.0027616804803705813, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_947": { "node_id": "node_947", "content": "MODIFICATION: Increase 11 thickness by 43%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 181.00 kg\n Factor of Safety: 1.13\n Max Deflection: 2.60e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 180.9999019503278, "fos_buckling": 1.131792310282095, "fos_yielding": 3.2797055095115133, "deflection": 0.0026037599142822616, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.431)" }, "parent_node_id": "node_946", "improvement_over_parent": null }, "node_948": { "node_id": "node_948", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n\nPerformance:\n Mass: 184.83 kg\n Factor of Safety: 0.99\n Max Deflection: 2.51e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 184.83231071704657, "fos_buckling": 0.9924483596163415, "fos_yielding": 3.278852621445454, "deflection": 0.00251000284220441, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002592)" }, "parent_node_id": "node_947", "improvement_over_parent": null }, "node_949": { "node_id": "node_949", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n\nPerformance:\n Mass: 203.94 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93603003983998, "fos_buckling": 1.5437035427133579, "fos_yielding": 4.2525805068343026, "deflection": 0.002006972998383521, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.004368)" }, "parent_node_id": "node_948", "improvement_over_parent": null }, "node_950": { "node_id": "node_950", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_949", "improvement_over_parent": null }, "node_951": { "node_id": "node_951", "content": "INITIAL DESIGN (Trace 136)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0016)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0019)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0032)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0023)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0034)]\n\nPerformance:\n Mass: 120.98 kg\n Factor of Safety: 0.85\n Max Deflection: 8.13e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 120.97537227952405, "fos_buckling": 0.8541156225894478, "fos_yielding": 0.9706898849788558, "deflection": 8125084043429.79, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_952": { "node_id": "node_952", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0016)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0019)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0032)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0023)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0034)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0025)]\n\nPerformance:\n Mass: 129.44 kg\n Factor of Safety: 0.59\n Max Deflection: 2.00e+12 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 129.442083509243, "fos_buckling": 0.5892201248597745, "fos_yielding": 3.1062076319323384, "deflection": 2002328101607.343, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.002454)" }, "parent_node_id": "node_951", "improvement_over_parent": null }, "node_953": { "node_id": "node_953", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0045)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0041)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0028)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0040)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n\nPerformance:\n Mass: 154.00 kg\n Factor of Safety: 0.05\n Max Deflection: 3.46e+13 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 153.9954556789125, "fos_buckling": 0.046091454924048016, "fos_yielding": 0.3364887360787893, "deflection": 34613510851531.94, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.205)" }, "parent_node_id": "node_952", "improvement_over_parent": null }, "node_954": { "node_id": "node_954", "content": "MODIFICATION: Increase 12 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0045)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0041)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0028)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0050)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n\nPerformance:\n Mass: 158.89 kg\n Factor of Safety: 0.51\n Max Deflection: 1.91e+12 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 158.8920910588105, "fos_buckling": 0.5126341210312525, "fos_yielding": 2.9807570450557788, "deflection": 1913442338469.0972, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.229)" }, "parent_node_id": "node_953", "improvement_over_parent": null }, "node_955": { "node_id": "node_955", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0045)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0041)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0028)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0050)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n\nPerformance:\n Mass: 172.73 kg\n Factor of Safety: 0.43\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": 172.73267632691437, "fos_buckling": 0.4299628746779823, "fos_yielding": 2.0696549324320355, "deflection": 0.005846988069773071, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.003466)" }, "parent_node_id": "node_954", "improvement_over_parent": null }, "node_956": { "node_id": "node_956", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0045)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0041)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0028)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0050)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n\nPerformance:\n Mass: 179.16 kg\n Factor of Safety: 1.39\n Max Deflection: 2.26e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 179.15641903342947, "fos_buckling": 1.3938499575162313, "fos_yielding": 3.732786845659144, "deflection": 0.002259762811887364, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.003128)" }, "parent_node_id": "node_955", "improvement_over_parent": null }, "node_957": { "node_id": "node_957", "content": "MODIFICATION: Increase 15 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0045)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0041)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0028)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0050)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0038)]\n\nPerformance:\n Mass: 180.40 kg\n Factor of Safety: 1.39\n Max Deflection: 2.23e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 180.404961942281, "fos_buckling": 1.3917316269224114, "fos_yielding": 3.7271138702196214, "deflection": 0.0022268590157091452, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(15, thickness, 1.215)" }, "parent_node_id": "node_956", "improvement_over_parent": null }, "node_958": { "node_id": "node_958", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0057)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0043)]\n\nPerformance:\n Mass: 203.06 kg\n Factor of Safety: 1.53\n Max Deflection: 1.98e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.06228152174276, "fos_buckling": 1.5332552859974817, "fos_yielding": 4.190215286121122, "deflection": 0.0019815699879114743, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.138)" }, "parent_node_id": "node_957", "improvement_over_parent": null }, "node_959": { "node_id": "node_959", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_958", "improvement_over_parent": null }, "node_960": { "node_id": "node_960", "content": "INITIAL DESIGN (Trace 137)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0026)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0022)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0026)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0037)]\n\nPerformance:\n Mass: 128.47 kg\n Factor of Safety: 0.71\n Max Deflection: 3.56e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 128.47390372405346, "fos_buckling": 0.711439035748788, "fos_yielding": 2.4059380091180573, "deflection": 0.003564064422096657, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_961": { "node_id": "node_961", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0026)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0022)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0026)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0037)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n\nPerformance:\n Mass: 137.64 kg\n Factor of Safety: 1.02\n Max Deflection: 2.95e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 137.64256787122318, "fos_buckling": 1.0205865019753875, "fos_yielding": 2.9402462748426, "deflection": 0.0029478466308668705, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.002688)" }, "parent_node_id": "node_960", "improvement_over_parent": null }, "node_962": { "node_id": "node_962", "content": "MODIFICATION: Increase 10 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0026)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0026)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0037)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n\nPerformance:\n Mass: 139.31 kg\n Factor of Safety: 0.98\n Max Deflection: 2.93e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 139.30540533109414, "fos_buckling": 0.9756017133930251, "fos_yielding": 2.9410061054164083, "deflection": 0.0029338696583634423, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.230)" }, "parent_node_id": "node_961", "improvement_over_parent": null }, "node_963": { "node_id": "node_963", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0045)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0036)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0049)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n\nPerformance:\n Mass: 180.17 kg\n Factor of Safety: 1.21\n Max Deflection: 2.27e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 180.1651671198785, "fos_buckling": 1.2149761729523227, "fos_yielding": 3.79411479944469, "deflection": 0.002274029535432913, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.318)" }, "parent_node_id": "node_962", "improvement_over_parent": null }, "node_964": { "node_id": "node_964", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0038)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0041)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 202.47 kg\n Factor of Safety: 1.34\n Max Deflection: 2.03e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 202.46529778949088, "fos_buckling": 1.3369895041332056, "fos_yielding": 4.257913405654995, "deflection": 0.0020262383695948353, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.136)" }, "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "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 138)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0033)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0024)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0022)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0022)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0040)]\n\nPerformance:\n Mass: 138.23 kg\n Factor of Safety: 0.82\n Max Deflection: 2.86e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 138.23012761529213, "fos_buckling": 0.8207949447401844, "fos_yielding": 2.1743409861833456, "deflection": 0.0028585130266426087, "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: Increase 6 thickness by 66%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0033)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0024)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0022)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0022)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0040)]\n\nPerformance:\n Mass: 144.28 kg\n Factor of Safety: 1.17\n Max Deflection: 2.78e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 144.27956383060825, "fos_buckling": 1.1717540315563524, "fos_yielding": 3.077825209061584, "deflection": 0.002776285609806811, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.664)" }, "parent_node_id": "node_966", "improvement_over_parent": null }, "node_968": { "node_id": "node_968", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0027)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0048)]\n\nPerformance:\n Mass: 170.88 kg\n Factor of Safety: 1.35\n Max Deflection: 2.35e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 170.88326610122238, "fos_buckling": 1.353359443228426, "fos_yielding": 3.638819869510601, "deflection": 0.002348385429202865, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.199)" }, "parent_node_id": "node_967", "improvement_over_parent": null }, "node_969": { "node_id": "node_969", "content": "MODIFICATION: Increase 13 thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0027)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0048)]\n\nPerformance:\n Mass: 173.63 kg\n Factor of Safety: 1.35\n Max Deflection: 2.33e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 173.62691034747004, "fos_buckling": 1.3496535934111442, "fos_yielding": 3.6288558351840092, "deflection": 0.0023322695054710965, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.277)" }, "parent_node_id": "node_968", "improvement_over_parent": null }, "node_970": { "node_id": "node_970", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 200.85 kg\n Factor of Safety: 1.52\n Max Deflection: 2.02e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 200.8503341460819, "fos_buckling": 1.5216388455310745, "fos_yielding": 4.191045965164368, "deflection": 0.002019806293068339, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.172)" }, "parent_node_id": "node_969", "improvement_over_parent": null }, "node_971": { "node_id": "node_971", "content": "MODIFICATION: Increase 14 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.73 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.73232939498675, "fos_buckling": 1.5424766407788049, "fos_yielding": 4.248439451110398, "deflection": 0.0020089491822708728, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.252)" }, "parent_node_id": "node_970", "improvement_over_parent": null }, "node_972": { "node_id": "node_972", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_971", "improvement_over_parent": null }, "node_973": { "node_id": "node_973", "content": "INITIAL DESIGN (Trace 139)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0026)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0028)]\n\nPerformance:\n Mass: 103.93 kg\n Factor of Safety: 0.24\n Max Deflection: 1.76e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 103.9294329167677, "fos_buckling": 0.24175710000997216, "fos_yielding": 1.022256255403549, "deflection": 0.01762403543246285, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_974": { "node_id": "node_974", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0026)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0028)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0039)]\n\nPerformance:\n Mass: 126.61 kg\n Factor of Safety: 0.77\n Max Deflection: 3.72e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 126.60889810431618, "fos_buckling": 0.7743042182673711, "fos_yielding": 2.484555917681447, "deflection": 0.003718225751638501, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.003945)" }, "parent_node_id": "node_973", "improvement_over_parent": null }, "node_975": { "node_id": "node_975", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0026)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0028)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0039)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0024)]\n\nPerformance:\n Mass: 134.81 kg\n Factor of Safety: 0.74\n Max Deflection: 3.39e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 134.81040102777544, "fos_buckling": 0.7437523832423204, "fos_yielding": 2.5319019353133974, "deflection": 0.003393217845454481, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.002372)" }, "parent_node_id": "node_974", "improvement_over_parent": null }, "node_976": { "node_id": "node_976", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0029)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0044)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n\nPerformance:\n Mass: 149.88 kg\n Factor of Safety: 0.82\n Max Deflection: 3.05e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 149.88002100291618, "fos_buckling": 0.8155165060572361, "fos_yielding": 2.8126603615556496, "deflection": 0.00305436083210534, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.120)" }, "parent_node_id": "node_975", "improvement_over_parent": null }, "node_977": { "node_id": "node_977", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n\nPerformance:\n Mass: 186.27 kg\n Factor of Safety: 0.98\n Max Deflection: 2.46e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 186.2667692927472, "fos_buckling": 0.9793579661105767, "fos_yielding": 3.4886285394809207, "deflection": 0.002462214655338217, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.266)" }, "parent_node_id": "node_976", "improvement_over_parent": null }, "node_978": { "node_id": "node_978", "content": "MODIFICATION: Increase 9 thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n\nPerformance:\n Mass: 190.66 kg\n Factor of Safety: 0.98\n Max Deflection: 2.43e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 190.66377961932994, "fos_buckling": 0.9834415510370923, "fos_yielding": 3.481668752922618, "deflection": 0.002434336406809834, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.271)" }, "parent_node_id": "node_977", "improvement_over_parent": null }, "node_979": { "node_id": "node_979", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 203.99 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.98731369097518, "fos_buckling": 1.5441582792199076, "fos_yielding": 4.2534821843887824, "deflection": 0.0020064343022919134, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.004024)" }, "parent_node_id": "node_978", "improvement_over_parent": null }, "node_980": { "node_id": "node_980", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_979", "improvement_over_parent": null }, "node_981": { "node_id": "node_981", "content": "INITIAL DESIGN (Trace 140)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0017)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0020)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0012)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0014)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0018)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0025)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0018)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0023)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0021)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0030)]\n\nPerformance:\n Mass: 113.39 kg\n Factor of Safety: 0.93\n Max Deflection: 3.59e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 113.3878891374561, "fos_buckling": 0.9320878240237026, "fos_yielding": 2.377363802952631, "deflection": 0.0035891611106454667, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_982": { "node_id": "node_982", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0031)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0028)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0020)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0024)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0034)]\n\nPerformance:\n Mass: 127.25 kg\n Factor of Safety: 1.03\n Max Deflection: 3.20e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 127.24676991361193, "fos_buckling": 1.0332799695206212, "fos_yielding": 2.665708180627068, "deflection": 0.003201049214952431, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.129)" }, "parent_node_id": "node_981", "improvement_over_parent": null }, "node_983": { "node_id": "node_983", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nPerformance:\n Mass: 162.22 kg\n Factor of Safety: 1.28\n Max Deflection: 2.52e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 162.21626577856236, "fos_buckling": 1.276405569512036, "fos_yielding": 3.391136692997063, "deflection": 0.0025165224439162234, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.295)" }, "parent_node_id": "node_982", "improvement_over_parent": null }, "node_984": { "node_id": "node_984", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.89 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.885283930798, "fos_buckling": 1.5434016570881433, "fos_yielding": 4.251567315745118, "deflection": 0.0020074551216554136, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.282)" }, "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "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 141)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0027)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0020)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0025)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0023)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0033)]\n\nPerformance:\n Mass: 113.60 kg\n Factor of Safety: 0.61\n Max Deflection: 4.28e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 113.60065896998763, "fos_buckling": 0.6141194939017071, "fos_yielding": 1.4787815497430872, "deflection": 0.00427556334297397, "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 all_members thickness by 11%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0030)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0022)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0025)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0036)]\n\nPerformance:\n Mass: 125.61 kg\n Factor of Safety: 0.67\n Max Deflection: 3.87e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 125.61026810460696, "fos_buckling": 0.6719814081608095, "fos_yielding": 1.6371540424723177, "deflection": 0.0038676721445844203, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.112)" }, "parent_node_id": "node_986", "improvement_over_parent": null }, "node_988": { "node_id": "node_988", "content": "MODIFICATION: Increase 2 thickness by 47%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0030)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0022)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0025)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0036)]\n\nPerformance:\n Mass: 127.20 kg\n Factor of Safety: 0.69\n Max Deflection: 3.64e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 127.20445122371275, "fos_buckling": 0.6947136836367147, "fos_yielding": 2.329728994706978, "deflection": 0.003638407726531827, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.473)" }, "parent_node_id": "node_987", "improvement_over_parent": null }, "node_989": { "node_id": "node_989", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0038)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0045)]\n\nPerformance:\n Mass: 156.97 kg\n Factor of Safety: 0.83\n Max Deflection: 2.95e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 156.97437360889668, "fos_buckling": 0.8349743024812735, "fos_yielding": 2.871405669488288, "deflection": 0.0029523033489047713, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.252)" }, "parent_node_id": "node_988", "improvement_over_parent": null }, "node_990": { "node_id": "node_990", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0038)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0045)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n\nPerformance:\n Mass: 167.94 kg\n Factor of Safety: 1.31\n Max Deflection: 2.43e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 167.93586256887318, "fos_buckling": 1.314469004694371, "fos_yielding": 3.510485868214286, "deflection": 0.0024316128447110395, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.003254)" }, "parent_node_id": "node_989", "improvement_over_parent": null }, "node_991": { "node_id": "node_991", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 204.03 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.0253351835949, "fos_buckling": 1.5442052232760155, "fos_yielding": 4.255627872335734, "deflection": 0.0020060330636326755, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.236)" }, "parent_node_id": "node_990", "improvement_over_parent": null }, "node_992": { "node_id": "node_992", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_991", "improvement_over_parent": null }, "node_993": { "node_id": "node_993", "content": "INITIAL DESIGN (Trace 142)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0016)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0047)]\n\nPerformance:\n Mass: 138.95 kg\n Factor of Safety: 0.08\n Max Deflection: 3.72e+13 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 138.95060373166203, "fos_buckling": 0.07893649057254075, "fos_yielding": 0.4853449424894279, "deflection": 37177045629020.81, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_994": { "node_id": "node_994", "content": "MODIFICATION: Increase 1 thickness by 41%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0016)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0047)]\n\nPerformance:\n Mass: 140.78 kg\n Factor of Safety: 0.24\n Max Deflection: 1.37e+13 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 140.784858924321, "fos_buckling": 0.24465598354967594, "fos_yielding": 1.7498322130974262, "deflection": 13660567093331.607, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.412)" }, "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0016)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0047)]\n M12: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n\nPerformance:\n Mass: 144.08 kg\n Factor of Safety: 0.35\n Max Deflection: 6.44e+12 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 144.0810181062127, "fos_buckling": 0.34634873853902026, "fos_yielding": 0.6960374124827663, "deflection": 6438236806485.006, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002199)" }, "parent_node_id": "node_994", "improvement_over_parent": null }, "node_996": { "node_id": "node_996", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0016)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0047)]\n M12: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n\nPerformance:\n Mass: 152.37 kg\n Factor of Safety: 0.64\n Max Deflection: 4.11e+12 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 152.373634623897, "fos_buckling": 0.6406055813076493, "fos_yielding": 2.363589136867473, "deflection": 4111946797333.187, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.002904)" }, "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0016)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0047)]\n M12: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n\nPerformance:\n Mass: 158.59 kg\n Factor of Safety: 0.87\n Max Deflection: 2.92e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 158.59440436810667, "fos_buckling": 0.8746450976444221, "fos_yielding": 2.8248864085529513, "deflection": 0.0029158663603544954, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.003021)" }, "parent_node_id": "node_996", "improvement_over_parent": null }, "node_998": { "node_id": "node_998", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0016)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0047)]\n M12: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n\nPerformance:\n Mass: 175.03 kg\n Factor of Safety: 1.26\n Max Deflection: 2.33e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 175.02615269067894, "fos_buckling": 1.2643004229671813, "fos_yielding": 3.663848404000205, "deflection": 0.0023330120281526852, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.003706)" }, "parent_node_id": "node_997", "improvement_over_parent": null }, "node_999": { "node_id": "node_999", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M12: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n\nPerformance:\n Mass: 203.55 kg\n Factor of Safety: 1.44\n Max Deflection: 2.01e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 203.55133552777204, "fos_buckling": 1.4362570682356908, "fos_yielding": 4.253546657864966, "deflection": 0.0020096845187236247, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.179)" }, "parent_node_id": "node_998", "improvement_over_parent": null }, "node_1000": { "node_id": "node_1000", "content": "MODIFICATION: Increase 3 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M12: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n\nPerformance:\n Mass: 204.00 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.001177931974, "fos_buckling": 1.5441236139328995, "fos_yielding": 4.2540010651524955, "deflection": 0.0020063165265944527, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.209)" }, "parent_node_id": "node_999", "improvement_over_parent": null }, "node_1001": { "node_id": "node_1001", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1000", "improvement_over_parent": null }, "node_1002": { "node_id": "node_1002", "content": "INITIAL DESIGN (Trace 143)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0047)]\n\nPerformance:\n Mass: 168.91 kg\n Factor of Safety: 1.12\n Max Deflection: 2.56e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 168.90694491205682, "fos_buckling": 1.1202177407464797, "fos_yielding": 3.0086990681950736, "deflection": 0.002564001488222752, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1003": { "node_id": "node_1003", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 196.94 kg\n Factor of Safety: 1.27\n Max Deflection: 2.20e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 196.9359226082164, "fos_buckling": 1.2709396180290735, "fos_yielding": 3.500970673616609, "deflection": 0.0022031825612798123, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.182)" }, "parent_node_id": "node_1002", "improvement_over_parent": null }, "node_1004": { "node_id": "node_1004", "content": "MODIFICATION: Increase 9 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 200.03 kg\n Factor of Safety: 1.27\n Max Deflection: 2.18e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 200.02994252840108, "fos_buckling": 1.2708064271656352, "fos_yielding": 3.50060378183019, "deflection": 0.0021798314368391036, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.178)" }, "parent_node_id": "node_1003", "improvement_over_parent": null }, "node_1005": { "node_id": "node_1005", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n\nPerformance:\n Mass: 203.86 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.86235129511985, "fos_buckling": 1.5433196839969694, "fos_yielding": 4.2512774619990195, "deflection": 0.00200766063864795, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002592)" }, "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "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 144)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0014)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0017)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0010)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0016)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0012)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0016)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0016)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0022)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0020)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0018)]\n\nPerformance:\n Mass: 70.74 kg\n Factor of Safety: 0.22\n Max Deflection: 1.87e+13 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 70.74069346114567, "fos_buckling": 0.2247423213578853, "fos_yielding": 0.9706898849788558, "deflection": 18734111136262.188, "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 all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0017)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0020)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0012)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0014)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0018)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0025)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0024)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n\nPerformance:\n Mass: 82.00 kg\n Factor of Safety: 0.44\n Max Deflection: 1.30e+13 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 82.00182436232845, "fos_buckling": 0.4437581710400778, "fos_yielding": 1.3459549443151575, "deflection": 13003707301304.885, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.167)" }, "parent_node_id": "node_1007", "improvement_over_parent": null }, "node_1009": { "node_id": "node_1009", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n\nPerformance:\n Mass: 106.69 kg\n Factor of Safety: 0.13\n Max Deflection: 2.54e+13 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 106.6870448629287, "fos_buckling": 0.12901293932616614, "fos_yielding": 0.6729774721575789, "deflection": 25357292581118.89, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.321)" }, "parent_node_id": "node_1008", "improvement_over_parent": null }, "node_1010": { "node_id": "node_1010", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0041)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n\nPerformance:\n Mass: 128.16 kg\n Factor of Safety: 0.13\n Max Deflection: 2.33e+13 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 128.1556692059269, "fos_buckling": 0.12857384126264895, "fos_yielding": 0.6420854544182617, "deflection": 23334291962211.406, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.218)" }, "parent_node_id": "node_1009", "improvement_over_parent": null }, "node_1011": { "node_id": "node_1011", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n\nPerformance:\n Mass: 145.88 kg\n Factor of Safety: 0.66\n Max Deflection: 2.66e+13 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 145.88494439214045, "fos_buckling": 0.658904578761702, "fos_yielding": 1.025805501950404, "deflection": 26614252232012.297, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.152)" }, "parent_node_id": "node_1010", "improvement_over_parent": null }, "node_1012": { "node_id": "node_1012", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 161.34 kg\n Factor of Safety: 0.32\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": 161.33584890588125, "fos_buckling": 0.31695476116863763, "fos_yielding": 1.7387437707552678, "deflection": 0.005850229815419127, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003928)" }, "parent_node_id": "node_1011", "improvement_over_parent": null }, "node_1013": { "node_id": "node_1013", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n\nPerformance:\n Mass: 172.66 kg\n Factor of Safety: 0.32\n Max Deflection: 5.68e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 172.6604909079881, "fos_buckling": 0.3168333159675805, "fos_yielding": 1.7380755918962811, "deflection": 0.005684721826951982, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.003363)" }, "parent_node_id": "node_1012", "improvement_over_parent": null }, "node_1014": { "node_id": "node_1014", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n\nPerformance:\n Mass: 203.97 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.97004125291693, "fos_buckling": 1.5438601033840373, "fos_yielding": 4.253591983973814, "deflection": 0.0020066219079358178, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.005592)" }, "parent_node_id": "node_1013", "improvement_over_parent": null }, "node_1015": { "node_id": "node_1015", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1014", "improvement_over_parent": null }, "node_1016": { "node_id": "node_1016", "content": "INITIAL DESIGN (Trace 145)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nPerformance:\n Mass: 135.06 kg\n Factor of Safety: 0.28\n Max Deflection: 3.86e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 135.06257767921866, "fos_buckling": 0.28334766145460916, "fos_yielding": 2.0372606205716766, "deflection": 0.0038568756151410935, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1017": { "node_id": "node_1017", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 168.40 kg\n Factor of Safety: 0.34\n Max Deflection: 3.10e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 168.400556579284, "fos_buckling": 0.33981539602235267, "fos_yielding": 2.5304789801221417, "deflection": 0.003099612035620067, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.271)" }, "parent_node_id": "node_1016", "improvement_over_parent": null }, "node_1018": { "node_id": "node_1018", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n\nPerformance:\n Mass: 190.60 kg\n Factor of Safety: 0.98\n Max Deflection: 2.44e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 190.6035412629978, "fos_buckling": 0.9831758574129834, "fos_yielding": 3.4806781937898132, "deflection": 0.0024351467375476068, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.004709)" }, "parent_node_id": "node_1017", "improvement_over_parent": null }, "node_1019": { "node_id": "node_1019", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.92707533464304, "fos_buckling": 1.5436438871188607, "fos_yielding": 4.252376242396355, "deflection": 0.002007058527016158, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.004024)" }, "parent_node_id": "node_1018", "improvement_over_parent": null }, "node_1020": { "node_id": "node_1020", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1019", "improvement_over_parent": null }, "node_1021": { "node_id": "node_1021", "content": "INITIAL DESIGN (Trace 146)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0017)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0020)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0012)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0014)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0018)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0025)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0018)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0023)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0021)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0030)]\n\nPerformance:\n Mass: 113.97 kg\n Factor of Safety: 0.94\n Max Deflection: 3.57e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 113.96986802425437, "fos_buckling": 0.9363926122291663, "fos_yielding": 2.389482012016137, "deflection": 0.0035709644059837564, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1022": { "node_id": "node_1022", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0031)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0029)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0021)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0024)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0034)]\n\nPerformance:\n Mass: 129.61 kg\n Factor of Safety: 1.05\n Max Deflection: 3.14e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 129.6103749003746, "fos_buckling": 1.0502634104712847, "fos_yielding": 2.714836644705648, "deflection": 0.0031431422775253536, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.145)" }, "parent_node_id": "node_1021", "improvement_over_parent": null }, "node_1023": { "node_id": "node_1023", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0034)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0024)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0032)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0029)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0041)]\n\nPerformance:\n Mass: 152.06 kg\n Factor of Safety: 1.21\n Max Deflection: 2.68e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 152.05603704641342, "fos_buckling": 1.2075645234779302, "fos_yielding": 3.180681606422333, "deflection": 0.0026829585898744245, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.185)" }, "parent_node_id": "node_1022", "improvement_over_parent": null }, "node_1024": { "node_id": "node_1024", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0047)]\n\nPerformance:\n Mass: 172.20 kg\n Factor of Safety: 1.34\n Max Deflection: 2.37e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 172.19584276603587, "fos_buckling": 1.342592842250194, "fos_yielding": 3.597599433962007, "deflection": 0.0023721656248967926, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.143)" }, "parent_node_id": "node_1023", "improvement_over_parent": null }, "node_1025": { "node_id": "node_1025", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.56 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.55762514580948, "fos_buckling": 1.5413980493993293, "fos_yielding": 4.244818225531706, "deflection": 0.002010645122466258, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.200)" }, "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "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 147)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0016)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0020)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0012)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0014)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0018)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0025)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0018)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0021)]\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_1028": { "node_id": "node_1028", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0016)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0020)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0012)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0014)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0018)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0025)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0018)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0021)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0030)]\n\nPerformance:\n Mass: 94.92 kg\n Factor of Safety: 0.38\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": 94.91831877388366, "fos_buckling": 0.37709444974197753, "fos_yielding": 1.3063641460477915, "deflection": 0.008460551294978975, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.002968)" }, "parent_node_id": "node_1027", "improvement_over_parent": null }, "node_1029": { "node_id": "node_1029", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0032)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0030)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0021)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0025)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0035)]\n\nPerformance:\n Mass: 111.78 kg\n Factor of Safety: 0.44\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": 111.78186550691652, "fos_buckling": 0.43722519339969895, "fos_yielding": 1.5380188428494028, "deflection": 0.007185303641112438, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.188)" }, "parent_node_id": "node_1028", "improvement_over_parent": null }, "node_1030": { "node_id": "node_1030", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0032)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0030)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0021)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0025)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0035)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n\nPerformance:\n Mass: 124.23 kg\n Factor of Safety: 0.68\n Max Deflection: 3.73e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 124.231273881257, "fos_buckling": 0.680213327636214, "fos_yielding": 2.274884459388294, "deflection": 0.0037250977010163167, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.002754)" }, "parent_node_id": "node_1029", "improvement_over_parent": null }, "node_1031": { "node_id": "node_1031", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0047)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n\nPerformance:\n Mass: 162.43 kg\n Factor of Safety: 0.86\n Max Deflection: 2.85e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 162.42908591331218, "fos_buckling": 0.8597240069777804, "fos_yielding": 2.9696512136648514, "deflection": 0.002853931802236149, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.332)" }, "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n\nPerformance:\n Mass: 190.53 kg\n Factor of Safety: 0.98\n Max Deflection: 2.44e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 190.52663151562075, "fos_buckling": 0.982839650702221, "fos_yielding": 3.479307845932876, "deflection": 0.0024360956473535884, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.190)" }, "parent_node_id": "node_1031", "improvement_over_parent": null }, "node_1033": { "node_id": "node_1033", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 203.85 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.850165587266, "fos_buckling": 1.5432800046939854, "fos_yielding": 4.2508111919295475, "deflection": 0.002007792669679031, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.004024)" }, "parent_node_id": "node_1032", "improvement_over_parent": null }, "node_1034": { "node_id": "node_1034", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1033", "improvement_over_parent": null }, "node_1035": { "node_id": "node_1035", "content": "INITIAL DESIGN (Trace 148)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n\nPerformance:\n Mass: 131.44 kg\n Factor of Safety: 0.15\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": 131.43875613827763, "fos_buckling": 0.15236639126631463, "fos_yielding": 0.9706898849788557, "deflection": 20470766473159.99, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1036": { "node_id": "node_1036", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0048)]\n\nPerformance:\n Mass: 158.62 kg\n Factor of Safety: 0.85\n Max Deflection: 2.94e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 158.62331764432628, "fos_buckling": 0.8511740575400215, "fos_yielding": 2.327327133123917, "deflection": 0.002936172050517389, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.004793)" }, "parent_node_id": "node_1035", "improvement_over_parent": null }, "node_1037": { "node_id": "node_1037", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0048)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n\nPerformance:\n Mass: 161.95 kg\n Factor of Safety: 0.85\n Max Deflection: 2.61e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 161.9499192048804, "fos_buckling": 0.8509800512036042, "fos_yielding": 2.9923439411780306, "deflection": 0.002607230093076039, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002221)" }, "parent_node_id": "node_1036", "improvement_over_parent": null }, "node_1038": { "node_id": "node_1038", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n\nPerformance:\n Mass: 186.59 kg\n Factor of Safety: 0.96\n Max Deflection: 2.27e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 186.5881407444143, "fos_buckling": 0.9573538324980517, "fos_yielding": 3.4530870505569426, "deflection": 0.002265512717719853, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.167)" }, "parent_node_id": "node_1037", "improvement_over_parent": null }, "node_1039": { "node_id": "node_1039", "content": "MODIFICATION: Increase 2 thickness by 34%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n\nPerformance:\n Mass: 188.40 kg\n Factor of Safety: 0.96\n Max Deflection: 2.20e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 188.39667179871287, "fos_buckling": 0.9572352407919348, "fos_yielding": 3.5019204673310074, "deflection": 0.00220051932858055, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.335)" }, "parent_node_id": "node_1038", "improvement_over_parent": null }, "node_1040": { "node_id": "node_1040", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n\nPerformance:\n Mass: 203.98 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.97800843116542, "fos_buckling": 1.5441839215136755, "fos_yielding": 4.251217026723406, "deflection": 0.002006613167067528, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.003945)" }, "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "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 149)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0017)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0013)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0031)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0029)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0020)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0024)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0034)]\n\nPerformance:\n Mass: 122.34 kg\n Factor of Safety: 0.74\n Max Deflection: 3.53e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 122.34032017543444, "fos_buckling": 0.7362553881513986, "fos_yielding": 1.9215904493515195, "deflection": 0.003534180550381253, "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: Increase 4 thickness by 35%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0017)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0018)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0031)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0029)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0020)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0024)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0034)]\n\nPerformance:\n Mass: 123.29 kg\n Factor of Safety: 0.84\n Max Deflection: 3.43e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 123.28946280374345, "fos_buckling": 0.8412305144264238, "fos_yielding": 2.1071530909274876, "deflection": 0.0034284811818550706, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.353)" }, "parent_node_id": "node_1042", "improvement_over_parent": null }, "node_1044": { "node_id": "node_1044", "content": "MODIFICATION: Increase 8 thickness by 60%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0017)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0018)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0031)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0029)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0020)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0024)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0034)]\n\nPerformance:\n Mass: 126.31 kg\n Factor of Safety: 0.91\n Max Deflection: 3.34e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 126.31464912523943, "fos_buckling": 0.906984267788404, "fos_yielding": 2.1707339239928123, "deflection": 0.0033363987864861344, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.597)" }, "parent_node_id": "node_1043", "improvement_over_parent": null }, "node_1045": { "node_id": "node_1045", "content": "MODIFICATION: Increase 1 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0018)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0031)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0029)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0020)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0024)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0034)]\n\nPerformance:\n Mass: 127.37 kg\n Factor of Safety: 0.93\n Max Deflection: 3.24e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 127.36683378615122, "fos_buckling": 0.9250924271881295, "fos_yielding": 2.467035200780521, "deflection": 0.003236471076339819, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.292)" }, "parent_node_id": "node_1044", "improvement_over_parent": null }, "node_1046": { "node_id": "node_1046", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0035)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0025)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0042)]\n\nPerformance:\n Mass: 156.16 kg\n Factor of Safety: 1.11\n Max Deflection: 2.64e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 156.1623752246843, "fos_buckling": 1.111299315617817, "fos_yielding": 3.023321297289079, "deflection": 0.00264402334877862, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.242)" }, "parent_node_id": "node_1045", "improvement_over_parent": null }, "node_1047": { "node_id": "node_1047", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 202.57 kg\n Factor of Safety: 1.39\n Max Deflection: 2.04e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 202.57381257919272, "fos_buckling": 1.393698360583419, "fos_yielding": 3.9198282878070385, "deflection": 0.002043605113766384, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.326)" }, "parent_node_id": "node_1046", "improvement_over_parent": null }, "node_1048": { "node_id": "node_1048", "content": "MODIFICATION: Increase 4 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.78 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.7845215646551, "fos_buckling": 1.542771316455611, "fos_yielding": 4.249442061954623, "deflection": 0.0020083789899355093, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.221)" }, "parent_node_id": "node_1047", "improvement_over_parent": null }, "node_1049": { "node_id": "node_1049", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1048", "improvement_over_parent": null }, "node_1050": { "node_id": "node_1050", "content": "INITIAL DESIGN (Trace 150)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0013)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0048)]\n\nPerformance:\n Mass: 142.29 kg\n Factor of Safety: 1.01\n Max Deflection: 3.77e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 142.28576342220816, "fos_buckling": 1.0085042162550477, "fos_yielding": 1.2859694648194517, "deflection": 3766720392569.95, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1051": { "node_id": "node_1051", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0013)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0048)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n\nPerformance:\n Mass: 150.62 kg\n Factor of Safety: 0.85\n Max Deflection: 2.92e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 150.62057424115167, "fos_buckling": 0.8469990370610301, "fos_yielding": 2.112478298675033, "deflection": 0.0029186446721163025, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.002920)" }, "parent_node_id": "node_1050", "improvement_over_parent": null }, "node_1052": { "node_id": "node_1052", "content": "MODIFICATION: Increase 0 thickness by 35%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0017)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0048)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n\nPerformance:\n Mass: 151.41 kg\n Factor of Safety: 0.85\n Max Deflection: 2.85e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 151.40845432197753, "fos_buckling": 0.847044720194968, "fos_yielding": 2.8226952213011707, "deflection": 0.0028463880363837142, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.353)" }, "parent_node_id": "node_1051", "improvement_over_parent": null }, "node_1053": { "node_id": "node_1053", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0017)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0048)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n\nPerformance:\n Mass: 161.20 kg\n Factor of Safety: 0.85\n Max Deflection: 2.57e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 161.19860320870077, "fos_buckling": 0.8476127873095496, "fos_yielding": 3.031230839653396, "deflection": 0.002571104472426645, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.002869)" }, "parent_node_id": "node_1052", "improvement_over_parent": null }, "node_1054": { "node_id": "node_1054", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0017)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0048)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n\nPerformance:\n Mass: 174.67 kg\n Factor of Safety: 1.26\n Max Deflection: 2.35e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 174.66680823651578, "fos_buckling": 1.2552684457972019, "fos_yielding": 3.684604100402136, "deflection": 0.002353169434489541, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.003365)" }, "parent_node_id": "node_1053", "improvement_over_parent": null }, "node_1055": { "node_id": "node_1055", "content": "MODIFICATION: Increase 0 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0048)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n\nPerformance:\n Mass: 175.34 kg\n Factor of Safety: 1.34\n Max Deflection: 2.34e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 175.3415722686024, "fos_buckling": 1.3419822823623233, "fos_yielding": 3.6833548107496545, "deflection": 0.0023350700449199864, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.229)" }, "parent_node_id": "node_1054", "improvement_over_parent": null }, "node_1056": { "node_id": "node_1056", "content": "MODIFICATION: Increase 0 thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0048)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n\nPerformance:\n Mass: 176.29 kg\n Factor of Safety: 1.37\n Max Deflection: 2.32e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 176.2880422020347, "fos_buckling": 1.3693022605749163, "fos_yielding": 3.6821197210985606, "deflection": 0.0023177049614254127, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.269)" }, "parent_node_id": "node_1055", "improvement_over_parent": null }, "node_1057": { "node_id": "node_1057", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n\nPerformance:\n Mass: 203.89 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.89005147130615, "fos_buckling": 1.5434070993803206, "fos_yielding": 4.2515865701913835, "deflection": 0.002007416241432013, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.172)" }, "parent_node_id": "node_1056", "improvement_over_parent": null }, "node_1058": { "node_id": "node_1058", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1057", "improvement_over_parent": null }, "node_1059": { "node_id": "node_1059", "content": "INITIAL DESIGN (Trace 151)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0013)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0027)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0020)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0025)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0023)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0032)]\n\nPerformance:\n Mass: 103.62 kg\n Factor of Safety: 0.62\n Max Deflection: 4.11e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 103.62361783725541, "fos_buckling": 0.6192899268373845, "fos_yielding": 2.1231013301086117, "deflection": 0.004114153633638282, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1060": { "node_id": "node_1060", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0015)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0031)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0022)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0026)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0036)]\n\nPerformance:\n Mass: 115.46 kg\n Factor of Safety: 0.68\n Max Deflection: 3.69e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 115.45662207516264, "fos_buckling": 0.6819532239659617, "fos_yielding": 2.3638297089653926, "deflection": 0.0036942455895936956, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.121)" }, "parent_node_id": "node_1059", "improvement_over_parent": null }, "node_1061": { "node_id": "node_1061", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0042)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0046)]\n\nPerformance:\n Mass: 144.60 kg\n Factor of Safety: 0.83\n Max Deflection: 2.95e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 144.59959367523166, "fos_buckling": 0.8292532814029748, "fos_yielding": 2.9551955244503763, "deflection": 0.002953120472862365, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.272)" }, "parent_node_id": "node_1060", "improvement_over_parent": null }, "node_1062": { "node_id": "node_1062", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0042)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0046)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n\nPerformance:\n Mass: 157.70 kg\n Factor of Safety: 0.88\n Max Deflection: 2.95e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 157.70470402140515, "fos_buckling": 0.8781239676574176, "fos_yielding": 2.887566907348986, "deflection": 0.002950277482112285, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.003267)" }, "parent_node_id": "node_1061", "improvement_over_parent": null }, "node_1063": { "node_id": "node_1063", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0042)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0046)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n\nPerformance:\n Mass: 168.91 kg\n Factor of Safety: 1.26\n Max Deflection: 2.40e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 168.91261638748057, "fos_buckling": 1.2621298481052017, "fos_yielding": 3.574593201987986, "deflection": 0.002396200548496837, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.003333)" }, "parent_node_id": "node_1062", "improvement_over_parent": null }, "node_1064": { "node_id": "node_1064", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 200.94 kg\n Factor of Safety: 1.45\n Max Deflection: 2.02e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 200.93649924391548, "fos_buckling": 1.454396030288101, "fos_yielding": 4.243534579337042, "deflection": 0.0020185071282138923, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.208)" }, "parent_node_id": "node_1063", "improvement_over_parent": null }, "node_1065": { "node_id": "node_1065", "content": "MODIFICATION: Increase 7 thickness by 52%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 204.02 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.01721340713323, "fos_buckling": 1.5442285351271203, "fos_yielding": 4.254347313360461, "deflection": 0.002006149954245285, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.515)" }, "parent_node_id": "node_1064", "improvement_over_parent": null }, "node_1066": { "node_id": "node_1066", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1065", "improvement_over_parent": null }, "node_1067": { "node_id": "node_1067", "content": "INITIAL DESIGN (Trace 152)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0046)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0031)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0031)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0042)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0032)]\n\nPerformance:\n Mass: 172.37 kg\n Factor of Safety: 1.07\n Max Deflection: 2.64e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 172.3666672975402, "fos_buckling": 1.067410697466283, "fos_yielding": 3.6040312738646523, "deflection": 0.0026373281889038474, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1068": { "node_id": "node_1068", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0036)]\n\nPerformance:\n Mass: 190.63 kg\n Factor of Safety: 1.17\n Max Deflection: 2.39e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 190.63440534956365, "fos_buckling": 1.1689553359689548, "fos_yielding": 3.9910946717213984, "deflection": 0.002385967188754181, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.116)" }, "parent_node_id": "node_1067", "improvement_over_parent": null }, "node_1069": { "node_id": "node_1069", "content": "MODIFICATION: Increase 14 thickness by 55%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 201.04 kg\n Factor of Safety: 1.26\n Max Deflection: 2.13e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 201.0386689237564, "fos_buckling": 1.2640412795679603, "fos_yielding": 4.23279434864044, "deflection": 0.002129592058672414, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.546)" }, "parent_node_id": "node_1068", "improvement_over_parent": null }, "node_1070": { "node_id": "node_1070", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n\nPerformance:\n Mass: 203.85 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.85290081287644, "fos_buckling": 1.5433657315857385, "fos_yielding": 4.250613661236539, "deflection": 0.00200772543682554, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.002221)" }, "parent_node_id": "node_1069", "improvement_over_parent": null }, "node_1071": { "node_id": "node_1071", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1070", "improvement_over_parent": null }, "node_1072": { "node_id": "node_1072", "content": "INITIAL DESIGN (Trace 153)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0031)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0022)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0037)]\n\nPerformance:\n Mass: 121.52 kg\n Factor of Safety: 0.69\n Max Deflection: 3.29e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 121.5243083046517, "fos_buckling": 0.6894323128045646, "fos_yielding": 2.391464566589997, "deflection": 0.0032945093339774804, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1073": { "node_id": "node_1073", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0031)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0022)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0037)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n\nPerformance:\n Mass: 128.08 kg\n Factor of Safety: 0.92\n Max Deflection: 3.19e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 128.07586768449903, "fos_buckling": 0.9178721458368727, "fos_yielding": 2.390398325937745, "deflection": 0.0031923481374792786, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.002256)" }, "parent_node_id": "node_1072", "improvement_over_parent": null }, "node_1074": { "node_id": "node_1074", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0031)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0022)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0037)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0026)]\n\nPerformance:\n Mass: 138.58 kg\n Factor of Safety: 1.11\n Max Deflection: 2.94e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 138.57534233247048, "fos_buckling": 1.1139546891749441, "fos_yielding": 2.9010526534133763, "deflection": 0.0029414578085831616, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.002589)" }, "parent_node_id": "node_1073", "improvement_over_parent": null }, "node_1075": { "node_id": "node_1075", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n\nPerformance:\n Mass: 162.06 kg\n Factor of Safety: 1.28\n Max Deflection: 2.52e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 162.06357799133463, "fos_buckling": 1.2753828362983302, "fos_yielding": 3.387979141039566, "deflection": 0.002518866398492482, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.182)" }, "parent_node_id": "node_1074", "improvement_over_parent": null }, "node_1076": { "node_id": "node_1076", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0032)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0046)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0042)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0050)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0031)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0035)]\n\nPerformance:\n Mass: 183.55 kg\n Factor of Safety: 1.42\n Max Deflection: 2.23e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 183.54719308841692, "fos_buckling": 1.416159848234985, "fos_yielding": 3.8321446836263324, "deflection": 0.002227045869493927, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.144)" }, "parent_node_id": "node_1075", "improvement_over_parent": null }, "node_1077": { "node_id": "node_1077", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 203.92 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.9242862988156, "fos_buckling": 1.543641051055703, "fos_yielding": 4.252374624659438, "deflection": 0.0020070739846787568, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.122)" }, "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "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 154)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0030)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0021)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0025)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0036)]\n\nPerformance:\n Mass: 118.64 kg\n Factor of Safety: 0.67\n Max Deflection: 3.41e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 118.63534166166642, "fos_buckling": 0.6681870403251234, "fos_yielding": 2.2741777940585552, "deflection": 0.003407557154248805, "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: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0030)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0021)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0025)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0036)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0019)]\n\nPerformance:\n Mass: 126.44 kg\n Factor of Safety: 0.88\n Max Deflection: 3.15e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 126.43785512539984, "fos_buckling": 0.878311540041835, "fos_yielding": 2.345443007506614, "deflection": 0.003151478482745497, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.001886)" }, "parent_node_id": "node_1079", "improvement_over_parent": null }, "node_1081": { "node_id": "node_1081", "content": "MODIFICATION: Increase 8 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0030)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0021)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0025)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0036)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0019)]\n\nPerformance:\n Mass: 128.12 kg\n Factor of Safety: 0.88\n Max Deflection: 3.11e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 128.12111374314085, "fos_buckling": 0.8798577191175181, "fos_yielding": 2.3495719238831896, "deflection": 0.0031146045947546826, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.252)" }, "parent_node_id": "node_1080", "improvement_over_parent": null }, "node_1082": { "node_id": "node_1082", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0035)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0025)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0042)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0022)]\n\nPerformance:\n Mass: 150.31 kg\n Factor of Safety: 1.02\n Max Deflection: 2.66e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 150.31111905768486, "fos_buckling": 1.0186431980273605, "fos_yielding": 2.7601964499007905, "deflection": 0.002658895669886893, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.185)" }, "parent_node_id": "node_1081", "improvement_over_parent": null }, "node_1083": { "node_id": "node_1083", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n\nPerformance:\n Mass: 195.12 kg\n Factor of Safety: 1.29\n Max Deflection: 2.05e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 195.12485291682736, "fos_buckling": 1.286543777612636, "fos_yielding": 3.5937686691452457, "deflection": 0.0020546469994241617, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.326)" }, "parent_node_id": "node_1082", "improvement_over_parent": null }, "node_1084": { "node_id": "node_1084", "content": "MODIFICATION: Increase 13 thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0052)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n\nPerformance:\n Mass: 199.60 kg\n Factor of Safety: 1.29\n Max Deflection: 2.04e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 199.60483448154622, "fos_buckling": 1.2860591136843675, "fos_yielding": 3.592414832555473, "deflection": 0.002042330080764728, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.330)" }, "parent_node_id": "node_1083", "improvement_over_parent": null }, "node_1085": { "node_id": "node_1085", "content": "MODIFICATION: Increase 6 thickness by 34%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0052)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n\nPerformance:\n Mass: 204.67 kg\n Factor of Safety: 1.50\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.67367268390976, "fos_buckling": 1.5048761617804107, "fos_yielding": 4.261884356159766, "deflection": 0.002011728653392274, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.337)" }, "parent_node_id": "node_1084", "improvement_over_parent": null }, "node_1086": { "node_id": "node_1086", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1085", "improvement_over_parent": null }, "node_1087": { "node_id": "node_1087", "content": "INITIAL DESIGN (Trace 155)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0015)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0018)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0011)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0017)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0013)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0017)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0017)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0016)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0021)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0019)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0019)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0027)]\n\nPerformance:\n Mass: 92.52 kg\n Factor of Safety: 0.19\n Max Deflection: 6.21e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 92.52469638519507, "fos_buckling": 0.18994703332172386, "fos_yielding": 1.2994533571826337, "deflection": 0.006210535795341081, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1088": { "node_id": "node_1088", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0031)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0020)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0023)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0033)]\n\nPerformance:\n Mass: 112.44 kg\n Factor of Safety: 0.23\n Max Deflection: 5.12e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 112.43905601414957, "fos_buckling": 0.22611529234152677, "fos_yielding": 1.5754860630292187, "deflection": 0.005120976921852245, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.227)" }, "parent_node_id": "node_1087", "improvement_over_parent": null }, "node_1089": { "node_id": "node_1089", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n\nPerformance:\n Mass: 143.05 kg\n Factor of Safety: 0.28\n Max Deflection: 4.04e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 143.0510668910786, "fos_buckling": 0.2785097862052508, "fos_yielding": 1.997317614244872, "deflection": 0.004037691789296436, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.292)" }, "parent_node_id": "node_1088", "improvement_over_parent": null }, "node_1090": { "node_id": "node_1090", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n\nPerformance:\n Mass: 160.52 kg\n Factor of Safety: 1.27\n Max Deflection: 2.54e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 160.52309344317905, "fos_buckling": 1.2650653457802272, "fos_yielding": 3.356174354079756, "deflection": 0.0025427731732655403, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.003630)" }, "parent_node_id": "node_1089", "improvement_over_parent": null }, "node_1091": { "node_id": "node_1091", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n\nPerformance:\n Mass: 203.95 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.9522659953557, "fos_buckling": 1.543844783832633, "fos_yielding": 4.253059818050327, "deflection": 0.002006787173656407, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.297)" }, "parent_node_id": "node_1090", "improvement_over_parent": null }, "node_1092": { "node_id": "node_1092", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1091", "improvement_over_parent": null }, "node_1093": { "node_id": "node_1093", "content": "INITIAL DESIGN (Trace 156)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0017)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0020)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0012)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0014)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0019)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0013)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0016)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0026)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0024)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0022)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0021)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0031)]\n\nPerformance:\n Mass: 105.74 kg\n Factor of Safety: 0.73\n Max Deflection: 3.85e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 105.73626181362195, "fos_buckling": 0.7293153435507383, "fos_yielding": 2.326482299688326, "deflection": 0.0038537503806061776, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1094": { "node_id": "node_1094", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0027)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0038)]\n\nPerformance:\n Mass: 131.23 kg\n Factor of Safety: 0.90\n Max Deflection: 3.11e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 131.2253190845343, "fos_buckling": 0.8953925826005021, "fos_yielding": 2.8832832600040366, "deflection": 0.003110231923342774, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.256)" }, "parent_node_id": "node_1093", "improvement_over_parent": null }, "node_1095": { "node_id": "node_1095", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0047)]\n\nPerformance:\n Mass: 159.93 kg\n Factor of Safety: 1.08\n Max Deflection: 2.56e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 159.93412528206693, "fos_buckling": 1.0777832952949131, "fos_yielding": 3.508575376586884, "deflection": 0.002556580765487331, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.236)" }, "parent_node_id": "node_1094", "improvement_over_parent": null }, "node_1096": { "node_id": "node_1096", "content": "MODIFICATION: Increase 8 thickness by 65%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0047)]\n\nPerformance:\n Mass: 164.25 kg\n Factor of Safety: 1.12\n Max Deflection: 2.48e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 164.25058510617444, "fos_buckling": 1.1188342577513186, "fos_yielding": 3.6166489403273303, "deflection": 0.0024788366324426576, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.653)" }, "parent_node_id": "node_1095", "improvement_over_parent": null }, "node_1097": { "node_id": "node_1097", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 191.04 kg\n Factor of Safety: 1.27\n Max Deflection: 2.14e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 191.03655843792117, "fos_buckling": 1.2651479218169364, "fos_yielding": 4.19942033614463, "deflection": 0.0021353947299466466, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.179)" }, "parent_node_id": "node_1096", "improvement_over_parent": null }, "node_1098": { "node_id": "node_1098", "content": "MODIFICATION: Increase 9 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 192.47 kg\n Factor of Safety: 1.27\n Max Deflection: 2.13e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 192.46597256831524, "fos_buckling": 1.2651479218169361, "fos_yielding": 4.232865966988423, "deflection": 0.0021291737968143183, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.193)" }, "parent_node_id": "node_1097", "improvement_over_parent": null }, "node_1099": { "node_id": "node_1099", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n\nPerformance:\n Mass: 203.79 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.7906145704221, "fos_buckling": 1.5427746989034898, "fos_yielding": 4.249435413534935, "deflection": 0.0020084179832678068, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.003363)" }, "parent_node_id": "node_1098", "improvement_over_parent": null }, "node_1100": { "node_id": "node_1100", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1099", "improvement_over_parent": null }, "node_1101": { "node_id": "node_1101", "content": "INITIAL DESIGN (Trace 157)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0012)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0020)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0012)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0028)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0019)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0022)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0019)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0026)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0018)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0024)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0022)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0022)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0031)]\n\nPerformance:\n Mass: 113.58 kg\n Factor of Safety: 0.79\n Max Deflection: 3.83e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 113.58050792436495, "fos_buckling": 0.7872715403055552, "fos_yielding": 2.013318931071065, "deflection": 0.0038292483747257686, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1102": { "node_id": "node_1102", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0016)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0024)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0028)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0040)]\n\nPerformance:\n Mass: 145.75 kg\n Factor of Safety: 0.98\n Max Deflection: 2.99e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 145.75179623802978, "fos_buckling": 0.9807917147032397, "fos_yielding": 2.578090850218351, "deflection": 0.0029900352114564602, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.302)" }, "parent_node_id": "node_1101", "improvement_over_parent": null }, "node_1103": { "node_id": "node_1103", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0047)]\n\nPerformance:\n Mass: 170.70 kg\n Factor of Safety: 1.12\n Max Deflection: 2.56e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 170.70271601900689, "fos_buckling": 1.1220220774774656, "fos_yielding": 3.0144455324943786, "deflection": 0.0025569622759238457, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.185)" }, "parent_node_id": "node_1102", "improvement_over_parent": null }, "node_1104": { "node_id": "node_1104", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0047)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n\nPerformance:\n Mass: 173.99 kg\n Factor of Safety: 1.30\n Max Deflection: 2.36e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 173.99472007760818, "fos_buckling": 1.2988051669426348, "fos_yielding": 3.662188892219642, "deflection": 0.0023563211759794474, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002196)" }, "parent_node_id": "node_1103", "improvement_over_parent": null }, "node_1105": { "node_id": "node_1105", "content": "MODIFICATION: Increase 0 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0047)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n\nPerformance:\n Mass: 175.23 kg\n Factor of Safety: 1.36\n Max Deflection: 2.33e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 175.23477429530007, "fos_buckling": 1.3624766516737907, "fos_yielding": 3.6604552960308787, "deflection": 0.0023314729351050795, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.385)" }, "parent_node_id": "node_1104", "improvement_over_parent": null }, "node_1106": { "node_id": "node_1106", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n\nPerformance:\n Mass: 204.11 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.10564423511772, "fos_buckling": 1.5447586400590316, "fos_yielding": 4.256145096323087, "deflection": 0.0020053158607648944, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.181)" }, "parent_node_id": "node_1105", "improvement_over_parent": null }, "node_1107": { "node_id": "node_1107", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1106", "improvement_over_parent": null }, "node_1108": { "node_id": "node_1108", "content": "INITIAL DESIGN (Trace 158)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0012)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0031)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0028)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0020)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0013)]\n\nPerformance:\n Mass: 101.83 kg\n Factor of Safety: 0.21\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": 101.83129388048714, "fos_buckling": 0.21182944685412186, "fos_yielding": 0.7786479747335868, "deflection": 0.01131877951731464, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1109": { "node_id": "node_1109", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0015)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0016)]\n\nPerformance:\n Mass: 127.27 kg\n Factor of Safety: 0.26\n Max Deflection: 9.05e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 127.26541253380829, "fos_buckling": 0.2571843673078284, "fos_yielding": 0.9777464424936437, "deflection": 0.009048338400547674, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.267)" }, "parent_node_id": "node_1108", "improvement_over_parent": null }, "node_1110": { "node_id": "node_1110", "content": "MODIFICATION: Increase 14 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0015)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0019)]\n\nPerformance:\n Mass: 128.57 kg\n Factor of Safety: 0.26\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": 128.5720276898563, "fos_buckling": 0.25712730243846377, "fos_yielding": 1.1705369523203943, "deflection": 0.008418349132234298, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.206)" }, "parent_node_id": "node_1109", "improvement_over_parent": null }, "node_1111": { "node_id": "node_1111", "content": "MODIFICATION: Increase 0 thickness by 61%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0019)]\n\nPerformance:\n Mass: 130.12 kg\n Factor of Safety: 0.26\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": 130.122082444799, "fos_buckling": 0.2571137667940954, "fos_yielding": 1.1704752177200777, "deflection": 0.008381128370778103, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.610)" }, "parent_node_id": "node_1110", "improvement_over_parent": null }, "node_1112": { "node_id": "node_1112", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0025)]\n\nPerformance:\n Mass: 167.43 kg\n Factor of Safety: 0.32\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": 167.4278141804161, "fos_buckling": 0.3170072319069853, "fos_yielding": 1.5139007931410677, "deflection": 0.00651161263052553, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.314)" }, "parent_node_id": "node_1111", "improvement_over_parent": null }, "node_1113": { "node_id": "node_1113", "content": "MODIFICATION: Increase 14 thickness by 55%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 172.58 kg\n Factor of Safety: 0.32\n Max Deflection: 5.69e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 172.584471072461, "fos_buckling": 0.3167306849005381, "fos_yielding": 1.7373827063841165, "deflection": 0.005687835239322203, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.550)" }, "parent_node_id": "node_1112", "improvement_over_parent": null }, "node_1114": { "node_id": "node_1114", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n\nPerformance:\n Mass: 203.89 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.89402141738984, "fos_buckling": 1.5437241747717794, "fos_yielding": 4.251501388973688, "deflection": 0.0020072329650295193, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.005592)" }, "parent_node_id": "node_1113", "improvement_over_parent": null }, "node_1115": { "node_id": "node_1115", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1114", "improvement_over_parent": null }, "node_1116": { "node_id": "node_1116", "content": "INITIAL DESIGN (Trace 159)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0015)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0018)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0009)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0017)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0013)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0017)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0017)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0023)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0016)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0021)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0019)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0027)]\n\nPerformance:\n Mass: 95.83 kg\n Factor of Safety: 0.71\n Max Deflection: 4.25e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 95.8327294300665, "fos_buckling": 0.7097830615176173, "fos_yielding": 1.796451368433891, "deflection": 0.00425349779823334, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1117": { "node_id": "node_1117", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0011)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0032)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0029)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0021)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0034)]\n\nPerformance:\n Mass: 119.78 kg\n Factor of Safety: 0.87\n Max Deflection: 3.41e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 119.78294221843827, "fos_buckling": 0.8671174790571767, "fos_yielding": 2.2419668146686536, "deflection": 0.003408360119123536, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.264)" }, "parent_node_id": "node_1116", "improvement_over_parent": null }, "node_1118": { "node_id": "node_1118", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0011)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0032)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0029)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0021)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0034)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0024)]\n\nPerformance:\n Mass: 129.62 kg\n Factor of Safety: 0.98\n Max Deflection: 3.14e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 129.6227279311017, "fos_buckling": 0.9798498031067966, "fos_yielding": 2.7205968947836143, "deflection": 0.003141190931823393, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.002417)" }, "parent_node_id": "node_1117", "improvement_over_parent": null }, "node_1119": { "node_id": "node_1119", "content": "MODIFICATION: Increase 3 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0032)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0029)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0021)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0034)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0024)]\n\nPerformance:\n Mass: 129.90 kg\n Factor of Safety: 1.05\n Max Deflection: 3.14e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 129.90215721534258, "fos_buckling": 1.0523482629845888, "fos_yielding": 2.720888391790884, "deflection": 0.003136104742119123, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.195)" }, "parent_node_id": "node_1118", "improvement_over_parent": null }, "node_1120": { "node_id": "node_1120", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0038)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0045)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n\nPerformance:\n Mass: 166.02 kg\n Factor of Safety: 1.30\n Max Deflection: 2.46e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 166.01527228324838, "fos_buckling": 1.3017604460577534, "fos_yielding": 3.4697466500502725, "deflection": 0.0024594960529876445, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.299)" }, "parent_node_id": "node_1119", "improvement_over_parent": null }, "node_1121": { "node_id": "node_1121", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 204.11 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.11235492806622, "fos_buckling": 1.5447791992310094, "fos_yielding": 4.2562262242250215, "deflection": 0.0020052288634057765, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.252)" }, "parent_node_id": "node_1120", "improvement_over_parent": null }, "node_1122": { "node_id": "node_1122", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1121", "improvement_over_parent": null }, "node_1123": { "node_id": "node_1123", "content": "INITIAL DESIGN (Trace 160)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0032)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 161.21 kg\n Factor of Safety: 0.02\n Max Deflection: 1.17e+14 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 161.20772746854678, "fos_buckling": 0.02052888129711308, "fos_yielding": 0.12133623562235696, "deflection": 117407888188762.9, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1124": { "node_id": "node_1124", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0032)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n\nPerformance:\n Mass: 192.52 kg\n Factor of Safety: 1.14\n Max Deflection: 2.23e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 192.5172778134756, "fos_buckling": 1.1445793564793678, "fos_yielding": 3.1344694128029293, "deflection": 0.0022291381083941937, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.005592)" }, "parent_node_id": "node_1123", "improvement_over_parent": null }, "node_1125": { "node_id": "node_1125", "content": "MODIFICATION: Increase 5 thickness by 59%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n\nPerformance:\n Mass: 200.12 kg\n Factor of Safety: 1.27\n Max Deflection: 2.18e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 200.11839512963016, "fos_buckling": 1.2712661936034968, "fos_yielding": 3.5017099016662843, "deflection": 0.0021789599392334955, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.595)" }, "parent_node_id": "node_1124", "improvement_over_parent": null }, "node_1126": { "node_id": "node_1126", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n\nPerformance:\n Mass: 203.95 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.95080389634893, "fos_buckling": 1.5438474952796188, "fos_yielding": 4.2525366348013485, "deflection": 0.0020068717964393753, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002592)" }, "parent_node_id": "node_1125", "improvement_over_parent": null }, "node_1127": { "node_id": "node_1127", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1126", "improvement_over_parent": null }, "node_1128": { "node_id": "node_1128", "content": "INITIAL DESIGN (Trace 161)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0024)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0028)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0040)]\n\nPerformance:\n Mass: 147.54 kg\n Factor of Safety: 0.99\n Max Deflection: 2.94e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 147.54102599886446, "fos_buckling": 0.986868079566782, "fos_yielding": 2.5964244679478163, "deflection": 0.0029430450720857922, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1129": { "node_id": "node_1129", "content": "MODIFICATION: Increase 3 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0024)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0028)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0040)]\n\nPerformance:\n Mass: 147.88 kg\n Factor of Safety: 0.99\n Max Deflection: 2.94e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 147.88018833758773, "fos_buckling": 0.9868567053132363, "fos_yielding": 2.596394542580057, "deflection": 0.002938767611003859, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.208)" }, "parent_node_id": "node_1128", "improvement_over_parent": null }, "node_1130": { "node_id": "node_1130", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0048)]\n\nPerformance:\n Mass: 174.51 kg\n Factor of Safety: 1.14\n Max Deflection: 2.49e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 174.51490284521583, "fos_buckling": 1.135989356440695, "fos_yielding": 3.058880027864946, "deflection": 0.0024944994641711384, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.195)" }, "parent_node_id": "node_1129", "improvement_over_parent": null }, "node_1131": { "node_id": "node_1131", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0048)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n\nPerformance:\n Mass: 177.86 kg\n Factor of Safety: 1.38\n Max Deflection: 2.30e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 177.85670676829275, "fos_buckling": 1.3795077898150743, "fos_yielding": 3.7146024323421902, "deflection": 0.0022974811447203924, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002232)" }, "parent_node_id": "node_1130", "improvement_over_parent": null }, "node_1132": { "node_id": "node_1132", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n\nPerformance:\n Mass: 203.92 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.92105956860152, "fos_buckling": 1.5436197141463273, "fos_yielding": 4.2523021961867284, "deflection": 0.0020071076973641267, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.161)" }, "parent_node_id": "node_1131", "improvement_over_parent": null }, "node_1133": { "node_id": "node_1133", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1132", "improvement_over_parent": null }, "node_1134": { "node_id": "node_1134", "content": "INITIAL DESIGN (Trace 162)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0042)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0038)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0046)]\n\nPerformance:\n Mass: 143.53 kg\n Factor of Safety: 0.97\n Max Deflection: 4.09e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 143.52518912247007, "fos_buckling": 0.9657801512713908, "fos_yielding": 1.9668859055568304, "deflection": 0.004086392495591229, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1135": { "node_id": "node_1135", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0042)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0038)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0046)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n\nPerformance:\n Mass: 146.70 kg\n Factor of Safety: 0.81\n Max Deflection: 4.13e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 146.70047070327672, "fos_buckling": 0.810303638096708, "fos_yielding": 2.3271820938554986, "deflection": 0.00412615780678997, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002112)" }, "parent_node_id": "node_1134", "improvement_over_parent": null }, "node_1136": { "node_id": "node_1136", "content": "MODIFICATION: Increase 2 thickness by 52%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0042)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0038)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0046)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n\nPerformance:\n Mass: 148.78 kg\n Factor of Safety: 0.84\n Max Deflection: 4.03e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 148.7801181514931, "fos_buckling": 0.8430908433756416, "fos_yielding": 2.7137091413764667, "deflection": 0.0040329855347906686, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.517)" }, "parent_node_id": "node_1135", "improvement_over_parent": null }, "node_1137": { "node_id": "node_1137", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n\nPerformance:\n Mass: 179.59 kg\n Factor of Safety: 0.99\n Max Deflection: 3.35e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 179.58727948577157, "fos_buckling": 0.9867035964031172, "fos_yielding": 3.2665503691073345, "deflection": 0.0033501019787705146, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.227)" }, "parent_node_id": "node_1136", "improvement_over_parent": null }, "node_1138": { "node_id": "node_1138", "content": "MODIFICATION: Increase 10 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0049)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n\nPerformance:\n Mass: 182.81 kg\n Factor of Safety: 0.99\n Max Deflection: 3.21e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 182.80976067878666, "fos_buckling": 0.9870343237170037, "fos_yielding": 3.2654830569746047, "deflection": 0.003211016652060392, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.233)" }, "parent_node_id": "node_1137", "improvement_over_parent": null }, "node_1139": { "node_id": "node_1139", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0049)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n\nPerformance:\n Mass: 192.45 kg\n Factor of Safety: 1.27\n Max Deflection: 2.13e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 192.45152560106968, "fos_buckling": 1.2656947773022031, "fos_yielding": 4.216042294934687, "deflection": 0.002132055321415353, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.003423)" }, "parent_node_id": "node_1138", "improvement_over_parent": null }, "node_1140": { "node_id": "node_1140", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0049)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n\nPerformance:\n Mass: 203.78 kg\n Factor of Safety: 1.49\n Max Deflection: 2.02e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 203.77616760317653, "fos_buckling": 1.4911925616354471, "fos_yielding": 4.231667919416694, "deflection": 0.002019899095738716, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.003363)" }, "parent_node_id": "node_1139", "improvement_over_parent": null }, "node_1141": { "node_id": "node_1141", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1140", "improvement_over_parent": null }, "node_1142": { "node_id": "node_1142", "content": "INITIAL DESIGN (Trace 163)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0031)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0029)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0021)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0017)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0024)]\n\nPerformance:\n Mass: 102.10 kg\n Factor of Safety: 0.20\n Max Deflection: 1.12e+13 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 102.1034774138233, "fos_buckling": 0.20100134415507628, "fos_yielding": 1.2865105929276646, "deflection": 11237633696539.422, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1143": { "node_id": "node_1143", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0031)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0029)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0021)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0017)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0024)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0016)]\n\nPerformance:\n Mass: 104.53 kg\n Factor of Safety: 0.21\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": 104.52686683528061, "fos_buckling": 0.2147808269384406, "fos_yielding": 1.1038016011469634, "deflection": 0.008956575135408682, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.001583)" }, "parent_node_id": "node_1142", "improvement_over_parent": null }, "node_1144": { "node_id": "node_1144", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n\nPerformance:\n Mass: 132.71 kg\n Factor of Safety: 0.26\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": 132.71497360773986, "fos_buckling": 0.264129520375705, "fos_yielding": 1.398323208868186, "deflection": 0.00706972828721253, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.289)" }, "parent_node_id": "node_1143", "improvement_over_parent": null }, "node_1145": { "node_id": "node_1145", "content": "MODIFICATION: Increase 2 thickness by 56%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n\nPerformance:\n Mass: 134.84 kg\n Factor of Safety: 0.26\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": 134.83871700918368, "fos_buckling": 0.264091444850584, "fos_yielding": 1.3981211574913406, "deflection": 0.007070485978635525, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.558)" }, "parent_node_id": "node_1144", "improvement_over_parent": null }, "node_1146": { "node_id": "node_1146", "content": "MODIFICATION: Increase 13 thickness by 45%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0045)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n\nPerformance:\n Mass: 139.86 kg\n Factor of Safety: 0.26\n Max Deflection: 6.48e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 139.8616556120095, "fos_buckling": 0.2638665346730952, "fos_yielding": 1.3976435111143402, "deflection": 0.0064832797856185604, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.451)" }, "parent_node_id": "node_1145", "improvement_over_parent": null }, "node_1147": { "node_id": "node_1147", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0057)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n\nPerformance:\n Mass: 173.99 kg\n Factor of Safety: 0.32\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": 173.9925516850987, "fos_buckling": 0.3163922889266424, "fos_yielding": 1.736451178032257, "deflection": 0.0052292762211292075, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.269)" }, "parent_node_id": "node_1146", "improvement_over_parent": null }, "node_1148": { "node_id": "node_1148", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0057)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n\nPerformance:\n Mass: 205.30 kg\n Factor of Safety: 1.48\n Max Deflection: 2.01e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 205.30210203002753, "fos_buckling": 1.476871631546015, "fos_yielding": 4.231017744549672, "deflection": 0.002013212468334157, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.005592)" }, "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "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 164)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0045)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0049)]\n\nPerformance:\n Mass: 126.72 kg\n Factor of Safety: 1.12\n Max Deflection: 2.47e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 126.71927653840741, "fos_buckling": 1.1193616763643608, "fos_yielding": 4.303025907424708, "deflection": 2470005866566.7954, "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: Increase 1 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0045)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0049)]\n\nPerformance:\n Mass: 128.42 kg\n Factor of Safety: 0.54\n Max Deflection: 1.00e+13 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 128.4219306812342, "fos_buckling": 0.5427198197651327, "fos_yielding": 2.02800502287511, "deflection": 10042807248274.71, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.359)" }, "parent_node_id": "node_1150", "improvement_over_parent": null }, "node_1152": { "node_id": "node_1152", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0045)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0049)]\n M12: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0041)]\n\nPerformance:\n Mass: 148.09 kg\n Factor of Safety: 1.02\n Max Deflection: 2.98e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 148.08624443182197, "fos_buckling": 1.02493621670735, "fos_yielding": 2.9101258055558743, "deflection": 0.0029820862218645247, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.004124)" }, "parent_node_id": "node_1151", "improvement_over_parent": null }, "node_1153": { "node_id": "node_1153", "content": "MODIFICATION: Increase 6 thickness by 38%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0045)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0049)]\n M12: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0041)]\n\nPerformance:\n Mass: 150.29 kg\n Factor of Safety: 1.02\n Max Deflection: 2.98e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 150.28989364515317, "fos_buckling": 1.0247826785133256, "fos_yielding": 2.909689860905578, "deflection": 0.0029824673795455434, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.377)" }, "parent_node_id": "node_1152", "improvement_over_parent": null }, "node_1154": { "node_id": "node_1154", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M12: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n\nPerformance:\n Mass: 169.71 kg\n Factor of Safety: 1.13\n Max Deflection: 2.64e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 169.71213156717957, "fos_buckling": 1.1324726104210134, "fos_yielding": 3.281834831249222, "deflection": 0.0026438470767181405, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.142)" }, "parent_node_id": "node_1153", "improvement_over_parent": null }, "node_1155": { "node_id": "node_1155", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M12: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n\nPerformance:\n Mass: 188.82 kg\n Factor of Safety: 1.27\n Max Deflection: 2.29e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 188.81585088997298, "fos_buckling": 1.2664446350455936, "fos_yielding": 3.5039807286360425, "deflection": 0.0022900581967884455, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.004368)" }, "parent_node_id": "node_1154", "improvement_over_parent": null }, "node_1156": { "node_id": "node_1156", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M12: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n\nPerformance:\n Mass: 192.65 kg\n Factor of Safety: 1.27\n Max Deflection: 2.13e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 192.64825965669175, "fos_buckling": 1.2661190994835645, "fos_yielding": 4.2370486313785785, "deflection": 0.0021271795214321335, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002592)" }, "parent_node_id": "node_1155", "improvement_over_parent": null }, "node_1157": { "node_id": "node_1157", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M12: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n\nPerformance:\n Mass: 203.97 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.9729016587986, "fos_buckling": 1.544015766369649, "fos_yielding": 4.253645338725626, "deflection": 0.002006544318958481, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.003363)" }, "parent_node_id": "node_1156", "improvement_over_parent": null }, "node_1158": { "node_id": "node_1158", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1157", "improvement_over_parent": null }, "node_1159": { "node_id": "node_1159", "content": "INITIAL DESIGN (Trace 165)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0042)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M8: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n M10: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0045)]\n\nPerformance:\n Mass: 116.61 kg\n Factor of Safety: 0.03\n Max Deflection: 1.66e+14 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 116.61018447451495, "fos_buckling": 0.029941406903165324, "fos_yielding": 0.08412218401969732, "deflection": 165923287496227.4, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1160": { "node_id": "node_1160", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0042)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M8: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n M10: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0045)]\n M11: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n\nPerformance:\n Mass: 127.61 kg\n Factor of Safety: 0.12\n Max Deflection: 6.50e+13 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 127.61228830713226, "fos_buckling": 0.12126043861230391, "fos_yielding": 0.2823152520071022, "deflection": 64978794414408.164, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.003267)" }, "parent_node_id": "node_1159", "improvement_over_parent": null }, "node_1161": { "node_id": "node_1161", "content": "MODIFICATION: Increase 2 thickness by 49%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0042)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M8: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n M10: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0045)]\n M11: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n\nPerformance:\n Mass: 129.60 kg\n Factor of Safety: 0.96\n Max Deflection: 6.92e+12 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 129.59908981179777, "fos_buckling": 0.9581250209012904, "fos_yielding": 1.7244747194578518, "deflection": 6915924534048.705, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.486)" }, "parent_node_id": "node_1160", "improvement_over_parent": null }, "node_1162": { "node_id": "node_1162", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0042)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M8: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n M10: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0045)]\n M11: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n\nPerformance:\n Mass: 137.56 kg\n Factor of Safety: 0.85\n Max Deflection: 4.80e+12 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 137.56074485378858, "fos_buckling": 0.8484253172732514, "fos_yielding": 1.2591176761699177, "deflection": 4800098225934.288, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.002779)" }, "parent_node_id": "node_1161", "improvement_over_parent": null }, "node_1163": { "node_id": "node_1163", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0042)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M8: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n M10: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0045)]\n M11: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n\nPerformance:\n Mass: 140.72 kg\n Factor of Safety: 0.81\n Max Deflection: 5.01e+12 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 140.72487183587694, "fos_buckling": 0.812815869970492, "fos_yielding": 1.1097890683075486, "deflection": 5008825979912.776, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002104)" }, "parent_node_id": "node_1162", "improvement_over_parent": null }, "node_1164": { "node_id": "node_1164", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M8: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M10: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M11: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n\nPerformance:\n Mass: 170.45 kg\n Factor of Safety: 1.19\n Max Deflection: 2.33e+12 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 170.4540300691907, "fos_buckling": 1.1906049177923568, "fos_yielding": 2.1182135015992705, "deflection": 2329084883219.617, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.232)" }, "parent_node_id": "node_1163", "improvement_over_parent": null }, "node_1165": { "node_id": "node_1165", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M8: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M10: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M11: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n\nPerformance:\n Mass: 192.66 kg\n Factor of Safety: 1.27\n Max Deflection: 2.13e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 192.6570147529045, "fos_buckling": 1.2659948014545808, "fos_yielding": 4.23591421569091, "deflection": 0.0021271602392343328, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.004709)" }, "parent_node_id": "node_1164", "improvement_over_parent": null }, "node_1166": { "node_id": "node_1166", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M8: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M10: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M11: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n\nPerformance:\n Mass: 203.98 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.98165675501136, "fos_buckling": 1.5441009088569209, "fos_yielding": 4.252503619074342, "deflection": 0.0020065216735033926, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.003363)" }, "parent_node_id": "node_1165", "improvement_over_parent": null }, "node_1167": { "node_id": "node_1167", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1166", "improvement_over_parent": null }, "node_1168": { "node_id": "node_1168", "content": "INITIAL DESIGN (Trace 166)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n\nPerformance:\n Mass: 115.62 kg\n Factor of Safety: 0.02\n Max Deflection: 7.49e+13 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 115.61868596493046, "fos_buckling": 0.015982984010593556, "fos_yielding": 0.08412218401969736, "deflection": 74861854813686.72, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1169": { "node_id": "node_1169", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 147.64 kg\n Factor of Safety: 0.15\n Max Deflection: 1.81e+13 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 147.63714123231273, "fos_buckling": 0.1488258390903342, "fos_yielding": 0.5893737906451691, "deflection": 18129327498601.977, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.304)" }, "parent_node_id": "node_1168", "improvement_over_parent": null }, "node_1170": { "node_id": "node_1170", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n\nPerformance:\n Mass: 149.80 kg\n Factor of Safety: 0.27\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": 149.8021334865411, "fos_buckling": 0.27243987422466825, "fos_yielding": 1.7393194094939695, "deflection": 0.006449123453052687, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.001671)" }, "parent_node_id": "node_1169", "improvement_over_parent": null }, "node_1171": { "node_id": "node_1171", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n\nPerformance:\n Mass: 181.11 kg\n Factor of Safety: 0.27\n Max Deflection: 3.33e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 181.11168383146992, "fos_buckling": 0.2718668672244062, "fos_yielding": 1.9435652660666694, "deflection": 0.0033342352951089564, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.005592)" }, "parent_node_id": "node_1170", "improvement_over_parent": null }, "node_1172": { "node_id": "node_1172", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n\nPerformance:\n Mass: 203.31 kg\n Factor of Safety: 1.35\n Max Deflection: 2.01e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 203.3146685151837, "fos_buckling": 1.3530280058977202, "fos_yielding": 4.252667650872171, "deflection": 0.0020119315193234903, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.004709)" }, "parent_node_id": "node_1171", "improvement_over_parent": null }, "node_1173": { "node_id": "node_1173", "content": "MODIFICATION: Increase 3 thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0047)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n\nPerformance:\n Mass: 205.40 kg\n Factor of Safety: 1.38\n Max Deflection: 1.97e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 205.400593224067, "fos_buckling": 1.3785336409310858, "fos_yielding": 4.24299196611751, "deflection": 0.0019715972998598265, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.328)" }, "parent_node_id": "node_1172", "improvement_over_parent": null }, "node_1174": { "node_id": "node_1174", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1173", "improvement_over_parent": null }, "node_1175": { "node_id": "node_1175", "content": "INITIAL DESIGN (Trace 167)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0031)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0039)]\n\nPerformance:\n Mass: 168.26 kg\n Factor of Safety: 0.93\n Max Deflection: 2.82e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 168.2641188755062, "fos_buckling": 0.9340865870803278, "fos_yielding": 2.895204812720469, "deflection": 0.002815132615813101, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1176": { "node_id": "node_1176", "content": "MODIFICATION: Increase 6 thickness by 66%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0039)]\n\nPerformance:\n Mass: 176.41 kg\n Factor of Safety: 0.92\n Max Deflection: 2.74e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 176.407615804643, "fos_buckling": 0.9237122634200724, "fos_yielding": 3.398030480800911, "deflection": 0.002742403730774552, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.664)" }, "parent_node_id": "node_1175", "improvement_over_parent": null }, "node_1177": { "node_id": "node_1177", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 189.73 kg\n Factor of Safety: 1.24\n Max Deflection: 2.23e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 189.73114987628824, "fos_buckling": 1.2422347752930452, "fos_yielding": 4.191380011719195, "deflection": 0.00223267688124995, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.004024)" }, "parent_node_id": "node_1176", "improvement_over_parent": null }, "node_1178": { "node_id": "node_1178", "content": "MODIFICATION: Increase 15 thickness by 43%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0058)]\n\nPerformance:\n Mass: 194.70 kg\n Factor of Safety: 1.27\n Max Deflection: 2.20e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 194.70434500913606, "fos_buckling": 1.2653569155406188, "fos_yielding": 4.256466096558034, "deflection": 0.0021968554038886232, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(15, thickness, 1.429)" }, "parent_node_id": "node_1177", "improvement_over_parent": null }, "node_1179": { "node_id": "node_1179", "content": "MODIFICATION: Increase 13 thickness by 58%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0062)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0058)]\n\nPerformance:\n Mass: 202.44 kg\n Factor of Safety: 1.17\n Max Deflection: 2.16e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 202.44106930257303, "fos_buckling": 1.1731387766332815, "fos_yielding": 4.240800560016772, "deflection": 0.002162508664964189, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.585)" }, "parent_node_id": "node_1178", "improvement_over_parent": null }, "node_1180": { "node_id": "node_1180", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1179", "improvement_over_parent": null }, "node_1181": { "node_id": "node_1181", "content": "INITIAL DESIGN (Trace 168)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0016)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0011)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0022)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0019)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0025)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0023)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0032)]\n\nPerformance:\n Mass: 116.57 kg\n Factor of Safety: 0.90\n Max Deflection: 3.55e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 116.56526900630055, "fos_buckling": 0.8986288610564747, "fos_yielding": 2.032883201044498, "deflection": 0.003550545252709576, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1182": { "node_id": "node_1182", "content": "MODIFICATION: Increase 10 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0016)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0011)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0027)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0019)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0025)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0023)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0032)]\n\nPerformance:\n Mass: 118.94 kg\n Factor of Safety: 0.91\n Max Deflection: 3.50e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 118.94090541516013, "fos_buckling": 0.9133891037692967, "fos_yielding": 2.040459520885824, "deflection": 0.003500130902226886, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.229)" }, "parent_node_id": "node_1181", "improvement_over_parent": null }, "node_1183": { "node_id": "node_1183", "content": "MODIFICATION: Increase 5 thickness by 34%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0016)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0027)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0019)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0025)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0023)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0032)]\n\nPerformance:\n Mass: 119.50 kg\n Factor of Safety: 0.90\n Max Deflection: 3.49e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 119.49972519517479, "fos_buckling": 0.9004315289086485, "fos_yielding": 2.0374128135385727, "deflection": 0.0034906171724906673, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.339)" }, "parent_node_id": "node_1182", "improvement_over_parent": null }, "node_1184": { "node_id": "node_1184", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0019)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0032)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0023)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0027)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0038)]\n\nPerformance:\n Mass: 138.86 kg\n Factor of Safety: 1.03\n Max Deflection: 3.01e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 138.86056801155306, "fos_buckling": 1.0345925588901135, "fos_yielding": 2.368934145281451, "deflection": 0.0030067277401333928, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.172)" }, "parent_node_id": "node_1183", "improvement_over_parent": null }, "node_1185": { "node_id": "node_1185", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0038)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0045)]\n\nPerformance:\n Mass: 164.43 kg\n Factor of Safety: 1.21\n Max Deflection: 2.54e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 164.42654047026647, "fos_buckling": 1.2066568767034977, "fos_yielding": 2.807614418012228, "deflection": 0.0025423110353454013, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.198)" }, "parent_node_id": "node_1184", "improvement_over_parent": null }, "node_1186": { "node_id": "node_1186", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 199.68 kg\n Factor of Safety: 1.43\n Max Deflection: 2.10e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 199.68045685126188, "fos_buckling": 1.4343226012049592, "fos_yielding": 3.4145567613258723, "deflection": 0.0020969149826036517, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.235)" }, "parent_node_id": "node_1185", "improvement_over_parent": null }, "node_1187": { "node_id": "node_1187", "content": "MODIFICATION: Increase 8 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 202.19 kg\n Factor of Safety: 1.54\n Max Deflection: 2.07e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 202.19115222226648, "fos_buckling": 1.53947659255976, "fos_yielding": 3.4619034058454123, "deflection": 0.002070269897116489, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.255)" }, "parent_node_id": "node_1186", "improvement_over_parent": null }, "node_1188": { "node_id": "node_1188", "content": "MODIFICATION: Increase 1 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.90 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.89679354938275, "fos_buckling": 1.5434328846337013, "fos_yielding": 4.251668144359321, "deflection": 0.002007294481602929, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.311)" }, "parent_node_id": "node_1187", "improvement_over_parent": null }, "node_1189": { "node_id": "node_1189", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1188", "improvement_over_parent": null }, "node_1190": { "node_id": "node_1190", "content": "INITIAL DESIGN (Trace 169)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0048)]\n\nPerformance:\n Mass: 160.17 kg\n Factor of Safety: 0.85\n Max Deflection: 2.76e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 160.16933946155362, "fos_buckling": 0.8523483524127847, "fos_yielding": 2.3083171584852873, "deflection": 0.0027598157231684, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1191": { "node_id": "node_1191", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0048)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n\nPerformance:\n Mass: 173.72 kg\n Factor of Safety: 1.36\n Max Deflection: 2.50e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 173.72250725541156, "fos_buckling": 1.3589659027549652, "fos_yielding": 2.645853778809163, "deflection": 0.002499713475739511, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.003388)" }, "parent_node_id": "node_1190", "improvement_over_parent": null }, "node_1192": { "node_id": "node_1192", "content": "MODIFICATION: Increase 1 thickness by 35%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0048)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n\nPerformance:\n Mass: 175.36 kg\n Factor of Safety: 1.40\n Max Deflection: 2.42e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 175.3579697678547, "fos_buckling": 1.4040313063704717, "fos_yielding": 2.653657370408534, "deflection": 0.002417102058472285, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.348)" }, "parent_node_id": "node_1191", "improvement_over_parent": null }, "node_1193": { "node_id": "node_1193", "content": "MODIFICATION: Increase 2 thickness by 47%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0048)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n\nPerformance:\n Mass: 177.40 kg\n Factor of Safety: 1.38\n Max Deflection: 2.30e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 177.4005254243118, "fos_buckling": 1.3764932113185822, "fos_yielding": 3.7064717414079245, "deflection": 0.002303259231318934, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.471)" }, "parent_node_id": "node_1192", "improvement_over_parent": null }, "node_1194": { "node_id": "node_1194", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n\nPerformance:\n Mass: 203.88 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.88353642181914, "fos_buckling": 1.5433286199710046, "fos_yielding": 4.25299331773028, "deflection": 0.002007417554221455, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.164)" }, "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "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 170)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0032)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0023)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0027)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0030)]\n\nPerformance:\n Mass: 137.56 kg\n Factor of Safety: 0.96\n Max Deflection: 3.06e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 137.55975773932715, "fos_buckling": 0.9638561379442201, "fos_yielding": 3.033563222313311, "deflection": 0.0030641836146203935, "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 15 thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0032)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0023)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0027)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0038)]\n\nPerformance:\n Mass: 142.00 kg\n Factor of Safety: 1.14\n Max Deflection: 2.87e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 142.00295565198624, "fos_buckling": 1.138107962661757, "fos_yielding": 2.972050899683993, "deflection": 0.0028710265303066333, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(15, thickness, 1.272)" }, "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n\nPerformance:\n Mass: 161.45 kg\n Factor of Safety: 1.27\n Max Deflection: 2.53e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 161.4471396366006, "fos_buckling": 1.2713606116444696, "fos_yielding": 3.375055320933833, "deflection": 0.0025283413132454286, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.147)" }, "parent_node_id": "node_1197", "improvement_over_parent": null }, "node_1199": { "node_id": "node_1199", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.95 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.9480861083423, "fos_buckling": 1.5439132464342837, "fos_yielding": 4.252665204411419, "deflection": 0.0020068081201254032, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.289)" }, "parent_node_id": "node_1198", "improvement_over_parent": null }, "node_1200": { "node_id": "node_1200", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1199", "improvement_over_parent": null }, "node_1201": { "node_id": "node_1201", "content": "INITIAL DESIGN (Trace 171)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0032)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0023)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0038)]\n\nPerformance:\n Mass: 108.03 kg\n Factor of Safety: 0.13\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": 108.02990645333693, "fos_buckling": 0.12718393744588974, "fos_yielding": 0.8973032962101046, "deflection": 10867553749142.6, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1202": { "node_id": "node_1202", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0032)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0023)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0026)]\n\nPerformance:\n Mass: 118.73 kg\n Factor of Safety: 0.46\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": 118.72776164059769, "fos_buckling": 0.4614576727046952, "fos_yielding": 1.633385251936316, "deflection": 0.006765427545343905, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.002641)" }, "parent_node_id": "node_1201", "improvement_over_parent": null }, "node_1203": { "node_id": "node_1203", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0032)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0023)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0026)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n\nPerformance:\n Mass: 127.95 kg\n Factor of Safety: 0.72\n Max Deflection: 3.62e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 127.95097206914905, "fos_buckling": 0.7241838688297985, "fos_yielding": 2.277449155101459, "deflection": 0.0036165132146855614, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.002705)" }, "parent_node_id": "node_1202", "improvement_over_parent": null }, "node_1204": { "node_id": "node_1204", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n\nPerformance:\n Mass: 146.07 kg\n Factor of Safety: 0.81\n Max Deflection: 3.17e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 146.06995072151534, "fos_buckling": 0.8132496888971595, "fos_yielding": 2.5971596386137086, "deflection": 0.0031705179242126555, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.152)" }, "parent_node_id": "node_1203", "improvement_over_parent": null }, "node_1205": { "node_id": "node_1205", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 184.66 kg\n Factor of Safety: 0.99\n Max Deflection: 2.51e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 184.66053014864116, "fos_buckling": 0.9917447991937535, "fos_yielding": 3.2758059432386837, "deflection": 0.002512333834144962, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.290)" }, "parent_node_id": "node_1204", "improvement_over_parent": null }, "node_1206": { "node_id": "node_1206", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n\nPerformance:\n Mass: 203.76 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.76424947143457, "fos_buckling": 1.5425655169923644, "fos_yielding": 4.248725833864759, "deflection": 0.0020087119369838007, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.004368)" }, "parent_node_id": "node_1205", "improvement_over_parent": null }, "node_1207": { "node_id": "node_1207", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1206", "improvement_over_parent": null }, "node_1208": { "node_id": "node_1208", "content": "INITIAL DESIGN (Trace 172)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0024)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0025)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0029)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0042)]\n\nPerformance:\n Mass: 151.13 kg\n Factor of Safety: 1.01\n Max Deflection: 2.69e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 151.13136280004886, "fos_buckling": 1.0092083745282896, "fos_yielding": 3.2705348112223622, "deflection": 0.0026865537332883167, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1209": { "node_id": "node_1209", "content": "MODIFICATION: Increase 10 thickness by 45%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0035)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0025)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0029)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0042)]\n\nPerformance:\n Mass: 156.19 kg\n Factor of Safety: 1.24\n Max Deflection: 2.61e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 156.1906594807203, "fos_buckling": 1.2357353283614165, "fos_yielding": 3.266292194239778, "deflection": 0.0026126322420904143, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.453)" }, "parent_node_id": "node_1208", "improvement_over_parent": null }, "node_1210": { "node_id": "node_1210", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0032)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0046)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0031)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0042)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0035)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0050)]\n\nPerformance:\n Mass: 184.79 kg\n Factor of Safety: 1.42\n Max Deflection: 2.21e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 184.79239430812612, "fos_buckling": 1.4240946388942795, "fos_yielding": 3.8577761825730144, "deflection": 0.00221222817195005, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.199)" }, "parent_node_id": "node_1209", "improvement_over_parent": null }, "node_1211": { "node_id": "node_1211", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.96 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.9609555231372, "fos_buckling": 1.5438401498461445, "fos_yielding": 4.253045588068636, "deflection": 0.0020067320377733172, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.114)" }, "parent_node_id": "node_1210", "improvement_over_parent": null }, "node_1212": { "node_id": "node_1212", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1211", "improvement_over_parent": null }, "node_1213": { "node_id": "node_1213", "content": "INITIAL DESIGN (Trace 173)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0011)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0038)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0029)]\n\nPerformance:\n Mass: 154.52 kg\n Factor of Safety: 0.96\n Max Deflection: 3.15e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 154.52138343923485, "fos_buckling": 0.9603255042196339, "fos_yielding": 1.5706389574138793, "deflection": 0.003146468760010627, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0014)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0036)]\n\nPerformance:\n Mass: 188.75 kg\n Factor of Safety: 1.15\n Max Deflection: 2.57e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 188.7472931088258, "fos_buckling": 1.1519258124129859, "fos_yielding": 1.930759752461824, "deflection": 0.0025736184154730004, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.242)" }, "parent_node_id": "node_1213", "improvement_over_parent": null }, "node_1215": { "node_id": "node_1215", "content": "MODIFICATION: Increase 15 thickness by 56%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0014)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 199.36 kg\n Factor of Safety: 1.44\n Max Deflection: 2.31e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 199.35530798581226, "fos_buckling": 1.4379649314367244, "fos_yielding": 1.951765201301891, "deflection": 0.0023066478858485232, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(15, thickness, 1.562)" }, "parent_node_id": "node_1214", "improvement_over_parent": null }, "node_1216": { "node_id": "node_1216", "content": "MODIFICATION: Increase 1 thickness by 58%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 201.11 kg\n Factor of Safety: 1.54\n Max Deflection: 2.13e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 201.10701699786497, "fos_buckling": 1.5357259149600042, "fos_yielding": 2.877272624154525, "deflection": 0.0021321249224397518, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.585)" }, "parent_node_id": "node_1215", "improvement_over_parent": null }, "node_1217": { "node_id": "node_1217", "content": "MODIFICATION: Increase 1 thickness by 63%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.92580797133613, "fos_buckling": 1.5436423326858213, "fos_yielding": 4.252228747435384, "deflection": 0.0020068909347343163, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.629)" }, "parent_node_id": "node_1216", "improvement_over_parent": null }, "node_1218": { "node_id": "node_1218", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1217", "improvement_over_parent": null }, "node_1219": { "node_id": "node_1219", "content": "INITIAL DESIGN (Trace 174)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0015)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0018)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n\nPerformance:\n Mass: 141.53 kg\n Factor of Safety: 0.83\n Max Deflection: 3.42e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 141.52801883201388, "fos_buckling": 0.8274803735020558, "fos_yielding": 2.499280455851606, "deflection": 0.0034243747521664632, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1220": { "node_id": "node_1220", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0017)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0045)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0041)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0021)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0049)]\n\nPerformance:\n Mass: 160.23 kg\n Factor of Safety: 0.92\n Max Deflection: 3.03e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 160.22721847263847, "fos_buckling": 0.9201492708927915, "fos_yielding": 2.833358170917059, "deflection": 0.003027773926471458, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.143)" }, "parent_node_id": "node_1219", "improvement_over_parent": null }, "node_1221": { "node_id": "node_1221", "content": "MODIFICATION: Increase 0 thickness by 60%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0045)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0041)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0021)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0049)]\n\nPerformance:\n Mass: 161.96 kg\n Factor of Safety: 0.92\n Max Deflection: 2.95e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 161.96309513716685, "fos_buckling": 0.9202599673693507, "fos_yielding": 3.0542316924969874, "deflection": 0.002951857538291174, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.597)" }, "parent_node_id": "node_1220", "improvement_over_parent": null }, "node_1222": { "node_id": "node_1222", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0024)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 182.05 kg\n Factor of Safety: 1.01\n Max Deflection: 2.63e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 182.0529179448306, "fos_buckling": 1.014581964961287, "fos_yielding": 3.429093501453605, "deflection": 0.0026294286428755415, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.136)" }, "parent_node_id": "node_1221", "improvement_over_parent": null }, "node_1223": { "node_id": "node_1223", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0024)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 195.38 kg\n Factor of Safety: 1.26\n Max Deflection: 2.15e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 195.37645201647584, "fos_buckling": 1.2647400880315953, "fos_yielding": 4.106694543295091, "deflection": 0.0021530850966342816, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.004024)" }, "parent_node_id": "node_1222", "improvement_over_parent": null }, "node_1224": { "node_id": "node_1224", "content": "MODIFICATION: Increase 13 thickness by 64%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0024)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0092)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 212.47 kg\n Factor of Safety: 1.26\n Max Deflection: 1.94e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 212.47230025028622, "fos_buckling": 1.263292619697324, "fos_yielding": 3.9185037246273318, "deflection": 0.001936463720009204, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.642)" }, "parent_node_id": "node_1223", "improvement_over_parent": null }, "node_1225": { "node_id": "node_1225", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0024)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0092)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n\nPerformance:\n Mass: 215.29 kg\n Factor of Safety: 1.58\n Max Deflection: 1.82e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 215.28653213940626, "fos_buckling": 1.578897377615504, "fos_yielding": 3.931782097219771, "deflection": 0.00181784980242476, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.002221)" }, "parent_node_id": "node_1224", "improvement_over_parent": null }, "node_1226": { "node_id": "node_1226", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1225", "improvement_over_parent": null }, "node_1227": { "node_id": "node_1227", "content": "INITIAL DESIGN (Trace 175)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0013)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0035)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0025)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0023)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0016)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0039)]\n\nPerformance:\n Mass: 117.87 kg\n Factor of Safety: 0.44\n Max Deflection: 1.04e+13 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 117.86556418147194, "fos_buckling": 0.44065367353457846, "fos_yielding": 1.5967403396196302, "deflection": 10437935251711.604, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1228": { "node_id": "node_1228", "content": "MODIFICATION: Increase 3 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0035)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0025)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0023)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0016)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0039)]\n\nPerformance:\n Mass: 118.19 kg\n Factor of Safety: 0.43\n Max Deflection: 6.15e+12 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 118.18905874502863, "fos_buckling": 0.43287065326789975, "fos_yielding": 1.3459549443151577, "deflection": 6149055033059.818, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.206)" }, "parent_node_id": "node_1227", "improvement_over_parent": null }, "node_1229": { "node_id": "node_1229", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0030)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0020)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0047)]\n\nPerformance:\n Mass: 143.11 kg\n Factor of Safety: 0.74\n Max Deflection: 3.90e+12 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 143.10939463836453, "fos_buckling": 0.7415363637146197, "fos_yielding": 2.890812285020146, "deflection": 3897369399661.0645, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.227)" }, "parent_node_id": "node_1228", "improvement_over_parent": null }, "node_1230": { "node_id": "node_1230", "content": "MODIFICATION: Increase 12 thickness by 66%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0030)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0047)]\n\nPerformance:\n Mass: 148.13 kg\n Factor of Safety: 0.67\n Max Deflection: 1.68e+12 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 148.128592013541, "fos_buckling": 0.6749223037071029, "fos_yielding": 2.691909888630316, "deflection": 1676328950691.9463, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.658)" }, "parent_node_id": "node_1229", "improvement_over_parent": null }, "node_1231": { "node_id": "node_1231", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0030)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0047)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n\nPerformance:\n Mass: 154.34 kg\n Factor of Safety: 0.87\n Max Deflection: 2.98e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 154.33604176488026, "fos_buckling": 0.8725973263454884, "fos_yielding": 2.8192749126362235, "deflection": 0.0029835274474082274, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.003014)" }, "parent_node_id": "node_1230", "improvement_over_parent": null }, "node_1232": { "node_id": "node_1232", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n\nPerformance:\n Mass: 179.83 kg\n Factor of Safety: 0.99\n Max Deflection: 2.56e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 179.82821213691665, "fos_buckling": 0.9917391279430917, "fos_yielding": 3.278810117356601, "deflection": 0.002563711737480785, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.181)" }, "parent_node_id": "node_1231", "improvement_over_parent": null }, "node_1233": { "node_id": "node_1233", "content": "MODIFICATION: Increase 10 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n\nPerformance:\n Mass: 182.91 kg\n Factor of Safety: 0.99\n Max Deflection: 2.56e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 182.90946858592423, "fos_buckling": 0.9918456362698718, "fos_yielding": 3.278467326536417, "deflection": 0.002558573537028893, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.309)" }, "parent_node_id": "node_1232", "improvement_over_parent": null }, "node_1234": { "node_id": "node_1234", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n\nPerformance:\n Mass: 202.01 kg\n Factor of Safety: 1.27\n Max Deflection: 2.03e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 202.01318790871764, "fos_buckling": 1.2651300052438943, "fos_yielding": 4.2548477905732724, "deflection": 0.002034333170292226, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.004368)" }, "parent_node_id": "node_1233", "improvement_over_parent": null }, "node_1235": { "node_id": "node_1235", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1234", "improvement_over_parent": null }, "node_1236": { "node_id": "node_1236", "content": "INITIAL DESIGN (Trace 176)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 155.74 kg\n Factor of Safety: 0.32\n Max Deflection: 5.95e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 155.7376943736185, "fos_buckling": 0.3169528882605444, "fos_yielding": 1.7386587754580975, "deflection": 0.0059466394643621695, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1237": { "node_id": "node_1237", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n\nPerformance:\n Mass: 167.06 kg\n Factor of Safety: 0.32\n Max Deflection: 5.72e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 167.06233637572535, "fos_buckling": 0.3168314206142349, "fos_yielding": 1.7379905016242707, "deflection": 0.005724508153475905, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.003363)" }, "parent_node_id": "node_1236", "improvement_over_parent": null }, "node_1238": { "node_id": "node_1238", "content": "MODIFICATION: Increase 10 thickness by 37%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n\nPerformance:\n Mass: 172.61 kg\n Factor of Safety: 0.32\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": 172.6118287161811, "fos_buckling": 0.3167719309703807, "fos_yielding": 1.7376632103095635, "deflection": 0.005685669867564425, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.366)" }, "parent_node_id": "node_1237", "improvement_over_parent": null }, "node_1239": { "node_id": "node_1239", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n\nPerformance:\n Mass: 203.92 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.92137906110992, "fos_buckling": 1.5438406686364456, "fos_yielding": 4.252517830774217, "deflection": 0.002007035047297243, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.005592)" }, "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "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 177)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0042)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0046)]\n\nPerformance:\n Mass: 163.25 kg\n Factor of Safety: 0.41\n Max Deflection: 6.49e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 163.25327642139868, "fos_buckling": 0.4094256000831965, "fos_yielding": 1.4506401634323367, "deflection": 0.0064886488536887756, "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: Increase 1 thickness by 37%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0042)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0046)]\n\nPerformance:\n Mass: 164.92 kg\n Factor of Safety: 0.41\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": 164.92147182757665, "fos_buckling": 0.4093560292986166, "fos_yielding": 1.9534557679546727, "deflection": 0.006166844526630167, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.374)" }, "parent_node_id": "node_1241", "improvement_over_parent": null }, "node_1243": { "node_id": "node_1243", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 196.76 kg\n Factor of Safety: 0.47\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": 196.75509065784357, "fos_buckling": 0.47358979539240603, "fos_yielding": 2.3246340468639466, "deflection": 0.005183981360859903, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.212)" }, "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0022)]\n\nPerformance:\n Mass: 201.41 kg\n Factor of Safety: 1.14\n Max Deflection: 2.10e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 201.41272993786941, "fos_buckling": 1.1412286943043715, "fos_yielding": 3.1075268056209344, "deflection": 0.0021010325484198144, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.002217)" }, "parent_node_id": "node_1243", "improvement_over_parent": null }, "node_1245": { "node_id": "node_1245", "content": "MODIFICATION: Increase 4 thickness by 61%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0042)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0022)]\n\nPerformance:\n Mass: 203.39 kg\n Factor of Safety: 1.14\n Max Deflection: 2.09e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 203.3931330636996, "fos_buckling": 1.1431792290723661, "fos_yielding": 3.112838045258607, "deflection": 0.0020931035810394173, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.605)" }, "parent_node_id": "node_1244", "improvement_over_parent": null }, "node_1246": { "node_id": "node_1246", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1245", "improvement_over_parent": null }, "node_1247": { "node_id": "node_1247", "content": "INITIAL DESIGN (Trace 178)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0030)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0013)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0017)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0036)]\n\nPerformance:\n Mass: 114.64 kg\n Factor of Safety: 0.84\n Max Deflection: 3.40e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 114.63739949307521, "fos_buckling": 0.8362357951356751, "fos_yielding": 2.218417592618453, "deflection": 0.003396371839705316, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1248": { "node_id": "node_1248", "content": "MODIFICATION: Increase 11 thickness by 65%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0030)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0022)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0017)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0036)]\n\nPerformance:\n Mass: 117.49 kg\n Factor of Safety: 0.83\n Max Deflection: 3.38e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 117.489444315799, "fos_buckling": 0.8261221442445301, "fos_yielding": 2.191587479397962, "deflection": 0.0033767739047726084, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.647)" }, "parent_node_id": "node_1247", "improvement_over_parent": null }, "node_1249": { "node_id": "node_1249", "content": "MODIFICATION: Increase 6 thickness by 47%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0030)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0022)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0017)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0036)]\n\nPerformance:\n Mass: 121.93 kg\n Factor of Safety: 0.90\n Max Deflection: 3.31e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 121.92835615835045, "fos_buckling": 0.8998578274586886, "fos_yielding": 2.3373380029750184, "deflection": 0.003311949176878439, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.475)" }, "parent_node_id": "node_1248", "improvement_over_parent": null }, "node_1250": { "node_id": "node_1250", "content": "MODIFICATION: Increase 13 thickness by 48%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0030)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0022)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0036)]\n\nPerformance:\n Mass: 125.16 kg\n Factor of Safety: 0.90\n Max Deflection: 3.27e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 125.16023764013335, "fos_buckling": 0.899560902452649, "fos_yielding": 2.3365667543627695, "deflection": 0.0032659595713133136, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.481)" }, "parent_node_id": "node_1249", "improvement_over_parent": null }, "node_1251": { "node_id": "node_1251", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0030)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0022)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0036)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0025)]\n\nPerformance:\n Mass: 135.42 kg\n Factor of Safety: 1.09\n Max Deflection: 3.01e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 135.42253825466693, "fos_buckling": 1.0917438934937485, "fos_yielding": 2.83575295331417, "deflection": 0.0030092571202891367, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.002527)" }, "parent_node_id": "node_1250", "improvement_over_parent": null }, "node_1252": { "node_id": "node_1252", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n\nPerformance:\n Mass: 160.42 kg\n Factor of Safety: 1.26\n Max Deflection: 2.54e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 160.41694453432473, "fos_buckling": 1.2643855603850225, "fos_yielding": 3.3540805679447616, "deflection": 0.0025443885633797355, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.198)" }, "parent_node_id": "node_1251", "improvement_over_parent": null }, "node_1253": { "node_id": "node_1253", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 204.11 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.10631824784573, "fos_buckling": 1.5448252034364884, "fos_yielding": 4.256361578394859, "deflection": 0.0020052534780426057, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.299)" }, "parent_node_id": "node_1252", "improvement_over_parent": null }, "node_1254": { "node_id": "node_1254", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1253", "improvement_over_parent": null }, "node_1255": { "node_id": "node_1255", "content": "INITIAL DESIGN (Trace 179)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0014)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0022)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0023)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0027)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0024)]\n\nPerformance:\n Mass: 128.55 kg\n Factor of Safety: 0.82\n Max Deflection: 3.42e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 128.5536516904913, "fos_buckling": 0.8243389138995112, "fos_yielding": 2.5529333854546827, "deflection": 0.0034229379233381846, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1256": { "node_id": "node_1256", "content": "MODIFICATION: Increase 10 thickness by 49%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0014)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0032)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0023)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0027)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0024)]\n\nPerformance:\n Mass: 133.47 kg\n Factor of Safety: 0.82\n Max Deflection: 3.34e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 133.4689449805099, "fos_buckling": 0.8232783128587353, "fos_yielding": 2.5720942395985653, "deflection": 0.003338701489072842, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.488)" }, "parent_node_id": "node_1255", "improvement_over_parent": null }, "node_1257": { "node_id": "node_1257", "content": "MODIFICATION: Increase 0 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0014)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0032)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0023)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0027)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0024)]\n\nPerformance:\n Mass: 134.09 kg\n Factor of Safety: 0.82\n Max Deflection: 3.32e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 134.0884074092999, "fos_buckling": 0.823078567075987, "fos_yielding": 2.5759527533877176, "deflection": 0.0033222839613748067, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.203)" }, "parent_node_id": "node_1256", "improvement_over_parent": null }, "node_1258": { "node_id": "node_1258", "content": "MODIFICATION: Increase 15 thickness by 59%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0014)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0032)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0023)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0027)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0038)]\n\nPerformance:\n Mass: 141.99 kg\n Factor of Safety: 1.13\n Max Deflection: 2.91e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 141.99030832916785, "fos_buckling": 1.1342828907175484, "fos_yielding": 2.6059732620153677, "deflection": 0.0029132019978728775, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(15, thickness, 1.595)" }, "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nPerformance:\n Mass: 160.77 kg\n Factor of Safety: 1.27\n Max Deflection: 2.58e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 160.77458853535148, "fos_buckling": 1.2667437515089044, "fos_yielding": 2.950826138249461, "deflection": 0.0025754940634188724, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.142)" }, "parent_node_id": "node_1258", "improvement_over_parent": null }, "node_1260": { "node_id": "node_1260", "content": "MODIFICATION: Increase 1 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nPerformance:\n Mass: 161.79 kg\n Factor of Safety: 1.26\n Max Deflection: 2.52e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 161.78907023751918, "fos_buckling": 1.256778766608982, "fos_yielding": 3.3724227474469206, "deflection": 0.002520338803130704, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.212)" }, "parent_node_id": "node_1259", "improvement_over_parent": null }, "node_1261": { "node_id": "node_1261", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.36 kg\n Factor of Safety: 1.53\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.3566595520823, "fos_buckling": 1.5345245061304946, "fos_yielding": 4.228629849167388, "deflection": 0.002010422739467239, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.282)" }, "parent_node_id": "node_1260", "improvement_over_parent": null }, "node_1262": { "node_id": "node_1262", "content": "MODIFICATION: Increase 5 thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 204.12 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.1228160783551, "fos_buckling": 1.5446384590921092, "fos_yielding": 4.2565004782878075, "deflection": 0.002005185532500613, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.274)" }, "parent_node_id": "node_1261", "improvement_over_parent": null }, "node_1263": { "node_id": "node_1263", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1262", "improvement_over_parent": null }, "node_1264": { "node_id": "node_1264", "content": "INITIAL DESIGN (Trace 180)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n\nPerformance:\n Mass: 148.59 kg\n Factor of Safety: 0.05\n Max Deflection: 5.39e+13 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 148.59082892337005, "fos_buckling": 0.0470078325506768, "fos_yielding": 0.3235632949929519, "deflection": 53896324851899.016, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1265": { "node_id": "node_1265", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n\nPerformance:\n Mass: 151.41 kg\n Factor of Safety: 0.26\n Max Deflection: 2.51e+12 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 151.4050608124901, "fos_buckling": 0.2642902450642839, "fos_yielding": 1.0079237154257201, "deflection": 2513702832478.035, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.002221)" }, "parent_node_id": "node_1264", "improvement_over_parent": null }, "node_1266": { "node_id": "node_1266", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n\nPerformance:\n Mass: 182.71 kg\n Factor of Safety: 1.27\n Max Deflection: 2.23e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 182.71461115741891, "fos_buckling": 1.2725165388317057, "fos_yielding": 3.5051539846507516, "deflection": 0.002226616557975424, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.005592)" }, "parent_node_id": "node_1265", "improvement_over_parent": null }, "node_1267": { "node_id": "node_1267", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 198.17 kg\n Factor of Safety: 1.32\n Max Deflection: 2.05e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 198.1655156711597, "fos_buckling": 1.3185757678606718, "fos_yielding": 4.257323892689582, "deflection": 0.0020545931256593813, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003928)" }, "parent_node_id": "node_1266", "improvement_over_parent": null }, "node_1268": { "node_id": "node_1268", "content": "MODIFICATION: Increase 10 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0047)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 201.98 kg\n Factor of Safety: 1.21\n Max Deflection: 2.04e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 201.9766964242478, "fos_buckling": 1.2067149337190037, "fos_yielding": 4.25886288905796, "deflection": 0.0020388369038764655, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.385)" }, "parent_node_id": "node_1267", "improvement_over_parent": null }, "node_1269": { "node_id": "node_1269", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1268", "improvement_over_parent": null }, "node_1270": { "node_id": "node_1270", "content": "INITIAL DESIGN (Trace 181)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0017)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0020)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0009)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0014)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0018)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0025)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0018)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0024)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0016)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0030)]\n\nPerformance:\n Mass: 112.24 kg\n Factor of Safety: 0.84\n Max Deflection: 3.59e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 112.23563823083751, "fos_buckling": 0.8364395640890238, "fos_yielding": 2.360378426488197, "deflection": 0.0035876788151222847, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1271": { "node_id": "node_1271", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0011)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0032)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0030)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0021)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0019)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0035)]\n\nPerformance:\n Mass: 129.86 kg\n Factor of Safety: 0.95\n Max Deflection: 3.10e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 129.86289613724875, "fos_buckling": 0.954941421514459, "fos_yielding": 2.7281732559753733, "deflection": 0.003104358013488848, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.166)" }, "parent_node_id": "node_1270", "improvement_over_parent": null }, "node_1272": { "node_id": "node_1272", "content": "MODIFICATION: Increase 14 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0011)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0032)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0030)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0021)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0025)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0035)]\n\nPerformance:\n Mass: 132.02 kg\n Factor of Safety: 0.95\n Max Deflection: 3.08e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 132.0164868137645, "fos_buckling": 0.9512405951877435, "fos_yielding": 2.7722649367299153, "deflection": 0.0030846409377309767, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.289)" }, "parent_node_id": "node_1271", "improvement_over_parent": null }, "node_1273": { "node_id": "node_1273", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0035)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0025)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0042)]\n\nPerformance:\n Mass: 156.19 kg\n Factor of Safety: 1.11\n Max Deflection: 2.61e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 156.1870593036163, "fos_buckling": 1.1052088423147248, "fos_yielding": 3.274968945184345, "deflection": 0.0026112713266674254, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.196)" }, "parent_node_id": "node_1272", "improvement_over_parent": null }, "node_1274": { "node_id": "node_1274", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.44 kg\n Factor of Safety: 1.39\n Max Deflection: 2.01e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 203.44119389993256, "fos_buckling": 1.388516881115099, "fos_yielding": 4.253460192845198, "deflection": 0.002010730371219463, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.332)" }, "parent_node_id": "node_1273", "improvement_over_parent": null }, "node_1275": { "node_id": "node_1275", "content": "MODIFICATION: Increase 3 thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 204.01 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.00856432636778, "fos_buckling": 1.5441493102001183, "fos_yielding": 4.254059686711037, "deflection": 0.0020063064302077074, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.277)" }, "parent_node_id": "node_1274", "improvement_over_parent": null }, "node_1276": { "node_id": "node_1276", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1275", "improvement_over_parent": null }, "node_1277": { "node_id": "node_1277", "content": "INITIAL DESIGN (Trace 182)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0047)]\n\nPerformance:\n Mass: 141.41 kg\n Factor of Safety: 0.30\n Max Deflection: 3.96e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 141.40847237383483, "fos_buckling": 0.2974570563500146, "fos_yielding": 2.1568953312439882, "deflection": 0.003957401835083275, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1278": { "node_id": "node_1278", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0047)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0028)]\n\nPerformance:\n Mass: 155.12 kg\n Factor of Safety: 1.11\n Max Deflection: 2.62e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 155.11560237100957, "fos_buckling": 1.1132003125710956, "fos_yielding": 2.9860907163918133, "deflection": 0.0026176180126716107, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.002804)" }, "parent_node_id": "node_1277", "improvement_over_parent": null }, "node_1279": { "node_id": "node_1279", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0047)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0028)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n\nPerformance:\n Mass: 168.26 kg\n Factor of Safety: 1.13\n Max Deflection: 2.42e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 168.25536977882706, "fos_buckling": 1.1317664551756412, "fos_yielding": 3.627395687521188, "deflection": 0.002415334277066051, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003292)" }, "parent_node_id": "node_1278", "improvement_over_parent": null }, "node_1280": { "node_id": "node_1280", "content": "MODIFICATION: Increase 10 thickness by 41%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0040)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0047)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0028)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n\nPerformance:\n Mass: 171.75 kg\n Factor of Safety: 1.04\n Max Deflection: 2.40e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 171.75280979888313, "fos_buckling": 1.0401578247591956, "fos_yielding": 3.62886450203434, "deflection": 0.0023952678138654464, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.406)" }, "parent_node_id": "node_1279", "improvement_over_parent": null }, "node_1281": { "node_id": "node_1281", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0047)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0033)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 201.90 kg\n Factor of Safety: 1.19\n Max Deflection: 2.04e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 201.9018336298436, "fos_buckling": 1.1907726950455302, "fos_yielding": 4.258621282475054, "deflection": 0.0020408378301639274, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.193)" }, "parent_node_id": "node_1280", "improvement_over_parent": null }, "node_1282": { "node_id": "node_1282", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1281", "improvement_over_parent": null }, "node_1283": { "node_id": "node_1283", "content": "INITIAL DESIGN (Trace 183)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 169.07 kg\n Factor of Safety: 1.01\n Max Deflection: 2.60e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 169.0705166859467, "fos_buckling": 1.0085947101911037, "fos_yielding": 3.2809522725498517, "deflection": 0.0025972991471159995, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1284": { "node_id": "node_1284", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n\nPerformance:\n Mass: 188.17 kg\n Factor of Safety: 1.27\n Max Deflection: 2.18e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 188.1742360087401, "fos_buckling": 1.2664117172116802, "fos_yielding": 3.7281730761360383, "deflection": 0.0021799117378349555, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.004368)" }, "parent_node_id": "node_1283", "improvement_over_parent": null }, "node_1285": { "node_id": "node_1285", "content": "MODIFICATION: Increase 0 thickness by 35%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n\nPerformance:\n Mass: 189.51 kg\n Factor of Safety: 1.27\n Max Deflection: 2.14e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 189.51157358160387, "fos_buckling": 1.266184480726568, "fos_yielding": 4.166400527681282, "deflection": 0.0021404219861717653, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.353)" }, "parent_node_id": "node_1284", "improvement_over_parent": null }, "node_1286": { "node_id": "node_1286", "content": "MODIFICATION: Increase 5 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n\nPerformance:\n Mass: 190.36 kg\n Factor of Safety: 1.27\n Max Deflection: 2.14e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 190.36339087243144, "fos_buckling": 1.2661121286964534, "fos_yielding": 4.193803775019938, "deflection": 0.002135314883230503, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.314)" }, "parent_node_id": "node_1285", "improvement_over_parent": null }, "node_1287": { "node_id": "node_1287", "content": "MODIFICATION: Increase 13 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0066)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n\nPerformance:\n Mass: 195.56 kg\n Factor of Safety: 1.27\n Max Deflection: 2.05e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 195.55864462878318, "fos_buckling": 1.2656710308994616, "fos_yielding": 4.10780709874501, "deflection": 0.0020535757794875684, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.186)" }, "parent_node_id": "node_1286", "improvement_over_parent": null }, "node_1288": { "node_id": "node_1288", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0066)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n\nPerformance:\n Mass: 206.88 kg\n Factor of Safety: 1.58\n Max Deflection: 1.93e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 206.88328663089004, "fos_buckling": 1.578386139113386, "fos_yielding": 4.122742521490576, "deflection": 0.001934203046685192, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.003363)" }, "parent_node_id": "node_1287", "improvement_over_parent": null }, "node_1289": { "node_id": "node_1289", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1288", "improvement_over_parent": null }, "node_1290": { "node_id": "node_1290", "content": "INITIAL DESIGN (Trace 184)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0017)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0020)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0012)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0014)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0012)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0019)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0026)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0019)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0024)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0022)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0022)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0031)]\n\nPerformance:\n Mass: 109.03 kg\n Factor of Safety: 0.49\n Max Deflection: 3.81e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 109.03149049615703, "fos_buckling": 0.49326671905888025, "fos_yielding": 2.300306681703301, "deflection": 0.0038138075106337855, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1291": { "node_id": "node_1291", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0017)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0020)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0012)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0014)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0012)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0019)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0026)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0019)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0024)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0022)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0022)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0031)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0019)]\n\nPerformance:\n Mass: 114.62 kg\n Factor of Safety: 0.72\n Max Deflection: 3.58e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 114.61653352083529, "fos_buckling": 0.7230276647746887, "fos_yielding": 2.3788830333898767, "deflection": 0.0035816236351706547, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.001906)" }, "parent_node_id": "node_1290", "improvement_over_parent": null }, "node_1292": { "node_id": "node_1292", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0035)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0015)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0032)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0023)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0027)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0038)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n\nPerformance:\n Mass: 138.15 kg\n Factor of Safety: 0.87\n Max Deflection: 2.98e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 138.14841398796972, "fos_buckling": 0.8650797910678723, "fos_yielding": 2.864062242821545, "deflection": 0.0029751339187380882, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.218)" }, "parent_node_id": "node_1291", "improvement_over_parent": null }, "node_1293": { "node_id": "node_1293", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0042)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0046)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n\nPerformance:\n Mass: 165.35 kg\n Factor of Safety: 1.03\n Max Deflection: 2.49e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 165.3477833978903, "fos_buckling": 1.026474246341103, "fos_yielding": 3.423515856397993, "deflection": 0.0024891914691027874, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.212)" }, "parent_node_id": "node_1292", "improvement_over_parent": null }, "node_1294": { "node_id": "node_1294", "content": "MODIFICATION: Increase 8 thickness by 46%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0042)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0041)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0046)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n\nPerformance:\n Mass: 168.63 kg\n Factor of Safety: 1.00\n Max Deflection: 2.48e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 168.6307373803846, "fos_buckling": 1.0036586724176573, "fos_yielding": 3.4609144797179523, "deflection": 0.002479624522641564, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.460)" }, "parent_node_id": "node_1293", "improvement_over_parent": null }, "node_1295": { "node_id": "node_1295", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0022)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0050)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n\nPerformance:\n Mass: 201.90 kg\n Factor of Safety: 1.19\n Max Deflection: 2.07e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 201.8953701166296, "fos_buckling": 1.1899131303508363, "fos_yielding": 4.1389331780119765, "deflection": 0.0020734573761894753, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.217)" }, "parent_node_id": "node_1294", "improvement_over_parent": null }, "node_1296": { "node_id": "node_1296", "content": "MODIFICATION: Increase 8 thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0022)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0064)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n\nPerformance:\n Mass: 204.97 kg\n Factor of Safety: 1.18\n Max Deflection: 2.07e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 204.97024143689924, "fos_buckling": 1.1766790371878675, "fos_yielding": 4.161906958518691, "deflection": 0.0020694070368093885, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.279)" }, "parent_node_id": "node_1295", "improvement_over_parent": null }, "node_1297": { "node_id": "node_1297", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1296", "improvement_over_parent": null }, "node_1298": { "node_id": "node_1298", "content": "INITIAL DESIGN (Trace 185)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0013)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0023)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0027)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0038)]\n\nPerformance:\n Mass: 125.44 kg\n Factor of Safety: 0.25\n Max Deflection: 4.54e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 125.44392278903462, "fos_buckling": 0.25133127689970003, "fos_yielding": 1.7749499364489008, "deflection": 0.004544852417096841, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1299": { "node_id": "node_1299", "content": "MODIFICATION: Increase 0 thickness by 62%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0023)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0027)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0038)]\n\nPerformance:\n Mass: 126.86 kg\n Factor of Safety: 0.25\n Max Deflection: 4.55e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 126.86185095121168, "fos_buckling": 0.2512830975305328, "fos_yielding": 1.7746096844544157, "deflection": 0.00454544325665763, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.623)" }, "parent_node_id": "node_1298", "improvement_over_parent": null }, "node_1300": { "node_id": "node_1300", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0023)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0027)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0038)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0032)]\n\nPerformance:\n Mass: 142.36 kg\n Factor of Safety: 1.14\n Max Deflection: 2.86e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 142.3620740547615, "fos_buckling": 1.1405017758636131, "fos_yielding": 2.979616834417405, "deflection": 0.0028639154785877453, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.003194)" }, "parent_node_id": "node_1299", "improvement_over_parent": null }, "node_1301": { "node_id": "node_1301", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0048)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0041)]\n\nPerformance:\n Mass: 178.65 kg\n Factor of Safety: 1.38\n Max Deflection: 2.29e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 178.6505346929355, "fos_buckling": 1.3846380424536204, "fos_yielding": 3.730971633803664, "deflection": 0.0022873957653961425, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.276)" }, "parent_node_id": "node_1300", "improvement_over_parent": null }, "node_1302": { "node_id": "node_1302", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n\nPerformance:\n Mass: 204.02 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.01594165675084, "fos_buckling": 1.5441887903745455, "fos_yielding": 4.254220301530124, "deflection": 0.002006194246647382, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.156)" }, "parent_node_id": "node_1301", "improvement_over_parent": null }, "node_1303": { "node_id": "node_1303", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1302", "improvement_over_parent": null }, "node_1304": { "node_id": "node_1304", "content": "INITIAL DESIGN (Trace 186)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0028)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0020)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0023)]\n\nPerformance:\n Mass: 99.49 kg\n Factor of Safety: 0.07\n Max Deflection: 8.50e+13 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 99.49346543090019, "fos_buckling": 0.06807391131511058, "fos_yielding": 0.1682443680393947, "deflection": 84975857074229.39, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1305": { "node_id": "node_1305", "content": "MODIFICATION: Increase 5 thickness by 35%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0028)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0020)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0023)]\n\nPerformance:\n Mass: 102.30 kg\n Factor of Safety: 0.11\n Max Deflection: 2.33e+13 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 102.30130347164896, "fos_buckling": 0.11208886983243622, "fos_yielding": 0.4294662862257214, "deflection": 23303222014443.832, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.346)" }, "parent_node_id": "node_1304", "improvement_over_parent": null }, "node_1306": { "node_id": "node_1306", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0028)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0020)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0023)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0033)]\n\nPerformance:\n Mass: 121.66 kg\n Factor of Safety: 0.84\n Max Deflection: 3.54e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 121.659115320186, "fos_buckling": 0.8441593786141727, "fos_yielding": 2.175576537579147, "deflection": 0.0035352229203680437, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.003335)" }, "parent_node_id": "node_1305", "improvement_over_parent": null }, "node_1307": { "node_id": "node_1307", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0031)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0024)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0032)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0041)]\n\nPerformance:\n Mass: 146.41 kg\n Factor of Safety: 0.99\n Max Deflection: 2.94e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 146.40508191068352, "fos_buckling": 0.9925736760905411, "fos_yielding": 2.61346691156671, "deflection": 0.0029426431052915524, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.217)" }, "parent_node_id": "node_1306", "improvement_over_parent": null }, "node_1308": { "node_id": "node_1308", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0048)]\n\nPerformance:\n Mass: 169.72 kg\n Factor of Safety: 1.13\n Max Deflection: 2.54e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 169.71676920866935, "fos_buckling": 1.1252714802719648, "fos_yielding": 3.0245385005220387, "deflection": 0.0025424904682713884, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.172)" }, "parent_node_id": "node_1307", "improvement_over_parent": null }, "node_1309": { "node_id": "node_1309", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0048)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n\nPerformance:\n Mass: 173.02 kg\n Factor of Safety: 1.23\n Max Deflection: 2.34e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 173.0240041552607, "fos_buckling": 1.229859788727296, "fos_yielding": 3.4161339773358894, "deflection": 0.002343897211974505, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002207)" }, "parent_node_id": "node_1308", "improvement_over_parent": null }, "node_1310": { "node_id": "node_1310", "content": "MODIFICATION: Increase 6 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0035)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0048)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n\nPerformance:\n Mass: 174.48 kg\n Factor of Safety: 1.24\n Max Deflection: 2.34e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 174.4824459413081, "fos_buckling": 1.2356721469939853, "fos_yielding": 3.4322787401334716, "deflection": 0.0023379624194391933, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.193)" }, "parent_node_id": "node_1309", "improvement_over_parent": null }, "node_1311": { "node_id": "node_1311", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0041)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n\nPerformance:\n Mass: 202.13 kg\n Factor of Safety: 1.40\n Max Deflection: 2.02e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 202.13305911828385, "fos_buckling": 1.4038799626122533, "fos_yielding": 3.9802032744358846, "deflection": 0.0020216280234528006, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.174)" }, "parent_node_id": "node_1310", "improvement_over_parent": null }, "node_1312": { "node_id": "node_1312", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1311", "improvement_over_parent": null }, "node_1313": { "node_id": "node_1313", "content": "INITIAL DESIGN (Trace 187)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0042)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0046)]\n\nPerformance:\n Mass: 146.53 kg\n Factor of Safety: 1.10\n Max Deflection: 2.79e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 146.52718415284795, "fos_buckling": 1.0982485296007418, "fos_yielding": 2.9474520769383705, "deflection": 0.002789849799090932, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1314": { "node_id": "node_1314", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0042)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0046)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n\nPerformance:\n Mass: 156.03 kg\n Factor of Safety: 1.10\n Max Deflection: 2.66e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 156.02981734542095, "fos_buckling": 1.1006407854413385, "fos_yielding": 2.946500663394636, "deflection": 0.002662925444443865, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.002778)" }, "parent_node_id": "node_1313", "improvement_over_parent": null }, "node_1315": { "node_id": "node_1315", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n\nPerformance:\n Mass: 186.04 kg\n Factor of Safety: 1.27\n Max Deflection: 2.24e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 186.03997480358547, "fos_buckling": 1.2726369389046843, "fos_yielding": 3.5059790484900577, "deflection": 0.002237055026377101, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.211)" }, "parent_node_id": "node_1314", "improvement_over_parent": null }, "node_1316": { "node_id": "node_1316", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 201.49 kg\n Factor of Safety: 1.53\n Max Deflection: 2.08e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 201.49087931732626, "fos_buckling": 1.5302577342384145, "fos_yielding": 3.450297603900185, "deflection": 0.0020758775530776265, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003928)" }, "parent_node_id": "node_1315", "improvement_over_parent": null }, "node_1317": { "node_id": "node_1317", "content": "MODIFICATION: Increase 5 thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 202.24 kg\n Factor of Safety: 1.54\n Max Deflection: 2.07e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 202.23849250506922, "fos_buckling": 1.539894406531945, "fos_yielding": 3.446568463394948, "deflection": 0.0020709261152948924, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.266)" }, "parent_node_id": "node_1316", "improvement_over_parent": null }, "node_1318": { "node_id": "node_1318", "content": "MODIFICATION: Increase 1 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 203.97 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.97412195576362, "fos_buckling": 1.5439418599566355, "fos_yielding": 4.2533951731383395, "deflection": 0.0020065643934716183, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.318)" }, "parent_node_id": "node_1317", "improvement_over_parent": null }, "node_1319": { "node_id": "node_1319", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1318", "improvement_over_parent": null }, "node_1320": { "node_id": "node_1320", "content": "INITIAL DESIGN (Trace 188)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0016)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0024)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0028)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0028)]\n\nPerformance:\n Mass: 109.53 kg\n Factor of Safety: 0.26\n Max Deflection: 5.52e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 109.53076389198111, "fos_buckling": 0.26484181781438676, "fos_yielding": 1.8833814867166134, "deflection": 0.005524166682049061, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1321": { "node_id": "node_1321", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0016)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0024)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0028)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0028)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0034)]\n\nPerformance:\n Mass: 125.93 kg\n Factor of Safety: 0.69\n Max Deflection: 3.82e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 125.92620243689183, "fos_buckling": 0.6937692711094965, "fos_yielding": 2.3989966485022824, "deflection": 0.003823291402544696, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.003391)" }, "parent_node_id": "node_1320", "improvement_over_parent": null }, "node_1322": { "node_id": "node_1322", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0016)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0024)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0028)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0028)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0034)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n\nPerformance:\n Mass: 140.04 kg\n Factor of Safety: 0.95\n Max Deflection: 3.11e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 140.03538045615136, "fos_buckling": 0.9510472976763047, "fos_yielding": 2.527813703710079, "deflection": 0.0031101163103316415, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.003146)" }, "parent_node_id": "node_1321", "improvement_over_parent": null }, "node_1323": { "node_id": "node_1323", "content": "MODIFICATION: Increase 15 thickness by 44%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0016)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0024)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0028)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0028)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0034)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0045)]\n\nPerformance:\n Mass: 145.66 kg\n Factor of Safety: 0.95\n Max Deflection: 3.06e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 145.66016737445867, "fos_buckling": 0.954205063313573, "fos_yielding": 2.5362068123078276, "deflection": 0.0030615736793388817, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(15, thickness, 1.439)" }, "parent_node_id": "node_1322", "improvement_over_parent": null }, "node_1324": { "node_id": "node_1324", "content": "MODIFICATION: Increase 7 thickness by 53%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0024)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0028)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0028)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0034)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0045)]\n\nPerformance:\n Mass: 148.01 kg\n Factor of Safety: 0.96\n Max Deflection: 3.04e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 148.01484466256932, "fos_buckling": 0.9574115194476579, "fos_yielding": 2.5447293366616517, "deflection": 0.0030372236191387467, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.527)" }, "parent_node_id": "node_1323", "improvement_over_parent": null }, "node_1325": { "node_id": "node_1325", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0033)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0053)]\n\nPerformance:\n Mass: 170.99 kg\n Factor of Safety: 1.09\n Max Deflection: 2.63e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 170.98851609929105, "fos_buckling": 1.0920938221827277, "fos_yielding": 2.9423418553450307, "deflection": 0.002629589048107368, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.168)" }, "parent_node_id": "node_1324", "improvement_over_parent": null }, "node_1326": { "node_id": "node_1326", "content": "MODIFICATION: Increase 2 thickness by 37%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0033)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0053)]\n\nPerformance:\n Mass: 172.67 kg\n Factor of Safety: 1.07\n Max Deflection: 2.55e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 172.6727182865138, "fos_buckling": 1.0699786451124296, "fos_yielding": 3.5945832152050197, "deflection": 0.002548585501201084, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.370)" }, "parent_node_id": "node_1325", "improvement_over_parent": null }, "node_1327": { "node_id": "node_1327", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0039)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0063)]\n\nPerformance:\n Mass: 202.30 kg\n Factor of Safety: 1.23\n Max Deflection: 2.18e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 202.29841242858515, "fos_buckling": 1.2335782902200745, "fos_yielding": 4.207117424256005, "deflection": 0.002176271538900096, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.189)" }, "parent_node_id": "node_1326", "improvement_over_parent": null }, "node_1328": { "node_id": "node_1328", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1327", "improvement_over_parent": null }, "node_1329": { "node_id": "node_1329", "content": "INITIAL DESIGN (Trace 189)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n\nPerformance:\n Mass: 146.26 kg\n Factor of Safety: 0.54\n Max Deflection: 3.54e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 146.2629918316686, "fos_buckling": 0.5442214681342807, "fos_yielding": 2.588506359943615, "deflection": 3538564369913.319, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n\nPerformance:\n Mass: 149.62 kg\n Factor of Safety: 0.24\n Max Deflection: 6.79e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 149.61722471574762, "fos_buckling": 0.23934193550633226, "fos_yielding": 1.4959352481839003, "deflection": 0.006790507350915135, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002241)" }, "parent_node_id": "node_1329", "improvement_over_parent": null }, "node_1331": { "node_id": "node_1331", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n\nPerformance:\n Mass: 170.88 kg\n Factor of Safety: 0.27\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": 170.8816010484008, "fos_buckling": 0.26867218920499786, "fos_yielding": 1.70975202474768, "deflection": 0.005950239407838103, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.156)" }, "parent_node_id": "node_1330", "improvement_over_parent": null }, "node_1332": { "node_id": "node_1332", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n\nPerformance:\n Mass: 202.19 kg\n Factor of Safety: 1.53\n Max Deflection: 2.02e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 202.19115139332962, "fos_buckling": 1.5285195398472342, "fos_yielding": 4.209374974251112, "deflection": 0.0020152925761860265, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.005592)" }, "parent_node_id": "node_1331", "improvement_over_parent": null }, "node_1333": { "node_id": "node_1333", "content": "MODIFICATION: Increase 9 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0058)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n\nPerformance:\n Mass: 206.88 kg\n Factor of Safety: 1.53\n Max Deflection: 1.99e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 206.87961082273205, "fos_buckling": 1.5275487722956387, "fos_yielding": 4.2067015870087685, "deflection": 0.0019893378104119995, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.238)" }, "parent_node_id": "node_1332", "improvement_over_parent": null }, "node_1334": { "node_id": "node_1334", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1333", "improvement_over_parent": null }, "node_1335": { "node_id": "node_1335", "content": "INITIAL DESIGN (Trace 190)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0013)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0028)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0020)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0017)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0034)]\n\nPerformance:\n Mass: 103.17 kg\n Factor of Safety: 0.68\n Max Deflection: 4.08e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 103.1660736589907, "fos_buckling": 0.6779428451944716, "fos_yielding": 2.0624615112842233, "deflection": 0.004075010861212636, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1336": { "node_id": "node_1336", "content": "MODIFICATION: Increase 12 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0013)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0028)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0020)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0024)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0034)]\n\nPerformance:\n Mass: 105.78 kg\n Factor of Safety: 0.66\n Max Deflection: 4.06e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 105.78343768618498, "fos_buckling": 0.6647172351467324, "fos_yielding": 2.0620935469288773, "deflection": 0.004061433764968649, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.391)" }, "parent_node_id": "node_1335", "improvement_over_parent": null }, "node_1337": { "node_id": "node_1337", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n\nPerformance:\n Mass: 131.41 kg\n Factor of Safety: 0.80\n Max Deflection: 3.27e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 131.4065197366857, "fos_buckling": 0.8047171713526444, "fos_yielding": 2.5565306854925574, "deflection": 0.003274692237106489, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.259)" }, "parent_node_id": "node_1336", "improvement_over_parent": null }, "node_1338": { "node_id": "node_1338", "content": "MODIFICATION: Increase 5 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n\nPerformance:\n Mass: 131.84 kg\n Factor of Safety: 0.80\n Max Deflection: 3.27e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 131.83691095560857, "fos_buckling": 0.8012203344566096, "fos_yielding": 2.5564558029213367, "deflection": 0.003272295451314889, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.181)" }, "parent_node_id": "node_1337", "improvement_over_parent": null }, "node_1339": { "node_id": "node_1339", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n\nPerformance:\n Mass: 146.69 kg\n Factor of Safety: 0.81\n Max Deflection: 2.76e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 146.68635801123887, "fos_buckling": 0.8050243123862706, "fos_yielding": 2.4858741508167497, "deflection": 0.0027594622779403056, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.003323)" }, "parent_node_id": "node_1338", "improvement_over_parent": null }, "node_1340": { "node_id": "node_1340", "content": "MODIFICATION: Increase 6 thickness by 38%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n\nPerformance:\n Mass: 151.05 kg\n Factor of Safety: 0.72\n Max Deflection: 2.70e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 151.04804182893199, "fos_buckling": 0.7175956763198187, "fos_yielding": 3.1509027839930073, "deflection": 0.002695326200283846, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.376)" }, "parent_node_id": "node_1339", "improvement_over_parent": null }, "node_1341": { "node_id": "node_1341", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n\nPerformance:\n Mass: 158.54 kg\n Factor of Safety: 1.25\n Max Deflection: 2.57e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 158.54242336676378, "fos_buckling": 1.2516895601205371, "fos_yielding": 3.3150633779380954, "deflection": 0.0025743264255988626, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.002604)" }, "parent_node_id": "node_1340", "improvement_over_parent": null }, "node_1342": { "node_id": "node_1342", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n\nPerformance:\n Mass: 203.90 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.89626441280683, "fos_buckling": 1.5434800519600216, "fos_yielding": 4.251787801834387, "deflection": 0.002007412527895782, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.314)" }, "parent_node_id": "node_1341", "improvement_over_parent": null }, "node_1343": { "node_id": "node_1343", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1342", "improvement_over_parent": null }, "node_1344": { "node_id": "node_1344", "content": "INITIAL DESIGN (Trace 191)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0014)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0031)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0029)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0021)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0024)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0034)]\n\nPerformance:\n Mass: 116.27 kg\n Factor of Safety: 0.65\n Max Deflection: 4.17e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 116.26501308345723, "fos_buckling": 0.6502002062472431, "fos_yielding": 1.3918089523473978, "deflection": 0.004166419164479408, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1345": { "node_id": "node_1345", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0014)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0031)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0029)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0021)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0024)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0034)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0016)]\n\nPerformance:\n Mass: 118.69 kg\n Factor of Safety: 0.69\n Max Deflection: 4.16e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 118.68840250491455, "fos_buckling": 0.6927347974859269, "fos_yielding": 1.4353226519001496, "deflection": 0.004156575068493381, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.001583)" }, "parent_node_id": "node_1344", "improvement_over_parent": null }, "node_1346": { "node_id": "node_1346", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0017)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0038)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0035)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0025)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0032)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0029)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0041)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0019)]\n\nPerformance:\n Mass: 141.46 kg\n Factor of Safety: 0.81\n Max Deflection: 3.49e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 141.46364102367065, "fos_buckling": 0.8085800173684078, "fos_yielding": 1.715762403935572, "deflection": 0.0034882578731978676, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.205)" }, "parent_node_id": "node_1345", "improvement_over_parent": null }, "node_1347": { "node_id": "node_1347", "content": "MODIFICATION: Increase 1 thickness by 64%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0038)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0035)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0025)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0032)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0029)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0041)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0019)]\n\nPerformance:\n Mass: 143.64 kg\n Factor of Safety: 0.77\n Max Deflection: 3.22e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 143.63959331645563, "fos_buckling": 0.7731309274232679, "fos_yielding": 2.628167112853572, "deflection": 0.0032243795184418865, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.637)" }, "parent_node_id": "node_1346", "improvement_over_parent": null }, "node_1348": { "node_id": "node_1348", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0042)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0046)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n\nPerformance:\n Mass: 160.27 kg\n Factor of Safety: 0.85\n Max Deflection: 2.89e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 160.27488209655297, "fos_buckling": 0.8499294746076749, "fos_yielding": 2.930524299373651, "deflection": 0.002891856438295657, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.125)" }, "parent_node_id": "node_1347", "improvement_over_parent": null }, "node_1349": { "node_id": "node_1349", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n\nPerformance:\n Mass: 190.63 kg\n Factor of Safety: 0.98\n Max Deflection: 2.43e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 190.62780925106827, "fos_buckling": 0.9832183160534926, "fos_yielding": 3.4811375534956284, "deflection": 0.0024346842362280587, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.208)" }, "parent_node_id": "node_1348", "improvement_over_parent": null }, "node_1350": { "node_id": "node_1350", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 203.95 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.9513433227135, "fos_buckling": 1.5437893562630682, "fos_yielding": 4.252861474627412, "deflection": 0.002006724659739234, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.004024)" }, "parent_node_id": "node_1349", "improvement_over_parent": null }, "node_1351": { "node_id": "node_1351", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1350", "improvement_over_parent": null }, "node_1352": { "node_id": "node_1352", "content": "INITIAL DESIGN (Trace 192)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0020)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0020)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n\nPerformance:\n Mass: 147.82 kg\n Factor of Safety: 0.93\n Max Deflection: 2.94e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 147.82318758120982, "fos_buckling": 0.9315227612850994, "fos_yielding": 2.3656273197366957, "deflection": 0.0029356188408459277, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1353": { "node_id": "node_1353", "content": "MODIFICATION: Increase 1 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0020)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0020)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n\nPerformance:\n Mass: 148.95 kg\n Factor of Safety: 0.92\n Max Deflection: 2.87e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 148.95071651987342, "fos_buckling": 0.9173820143757621, "fos_yielding": 2.369657464825816, "deflection": 0.0028748065623203046, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.244)" }, "parent_node_id": "node_1352", "improvement_over_parent": null }, "node_1354": { "node_id": "node_1354", "content": "MODIFICATION: Increase 2 thickness by 48%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0020)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0020)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n\nPerformance:\n Mass: 150.84 kg\n Factor of Safety: 0.93\n Max Deflection: 2.74e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 150.84449748680512, "fos_buckling": 0.9276113771971403, "fos_yielding": 2.5211731623744864, "deflection": 0.0027434146381783964, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.484)" }, "parent_node_id": "node_1353", "improvement_over_parent": null }, "node_1355": { "node_id": "node_1355", "content": "MODIFICATION: Increase 11 thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0020)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n\nPerformance:\n Mass: 152.64 kg\n Factor of Safety: 0.92\n Max Deflection: 2.73e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 152.64313252036317, "fos_buckling": 0.9231137259177773, "fos_yielding": 2.5256047584377948, "deflection": 0.0027328049899096062, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.271)" }, "parent_node_id": "node_1354", "improvement_over_parent": null }, "node_1356": { "node_id": "node_1356", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 194.09 kg\n Factor of Safety: 1.15\n Max Deflection: 2.15e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 194.0879374569709, "fos_buckling": 1.1542678419951384, "fos_yielding": 3.2207205742321796, "deflection": 0.0021528923255079335, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.297)" }, "parent_node_id": "node_1355", "improvement_over_parent": null }, "node_1357": { "node_id": "node_1357", "content": "MODIFICATION: Increase 3 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 194.78 kg\n Factor of Safety: 1.15\n Max Deflection: 2.15e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 194.78174469488306, "fos_buckling": 1.1506408513067807, "fos_yielding": 3.2244714901916165, "deflection": 0.0021475598588084873, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.359)" }, "parent_node_id": "node_1356", "improvement_over_parent": null }, "node_1358": { "node_id": "node_1358", "content": "MODIFICATION: Increase 4 thickness by 44%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 196.86 kg\n Factor of Safety: 1.23\n Max Deflection: 2.07e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 196.86327897295547, "fos_buckling": 1.228517363010166, "fos_yielding": 4.225035153597298, "deflection": 0.0020695730668395204, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.443)" }, "parent_node_id": "node_1357", "improvement_over_parent": null }, "node_1359": { "node_id": "node_1359", "content": "MODIFICATION: Increase 12 thickness by 65%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.98 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.97788948910505, "fos_buckling": 1.5438703907098459, "fos_yielding": 4.252226032069026, "deflection": 0.002006479150329302, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.650)" }, "parent_node_id": "node_1358", "improvement_over_parent": null }, "node_1360": { "node_id": "node_1360", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1359", "improvement_over_parent": null }, "node_1361": { "node_id": "node_1361", "content": "INITIAL DESIGN (Trace 193)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 166.55 kg\n Factor of Safety: 0.96\n Max Deflection: 2.59e+10 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 166.55454619724907, "fos_buckling": 0.9613769251802358, "fos_yielding": 2.2203874503417733, "deflection": 25898715374.572033, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1362": { "node_id": "node_1362", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n\nPerformance:\n Mass: 182.14 kg\n Factor of Safety: 0.97\n Max Deflection: 2.66e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 182.13588282970161, "fos_buckling": 0.9678161305256385, "fos_yielding": 2.214396796610454, "deflection": 0.0026602156593566934, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.003945)" }, "parent_node_id": "node_1361", "improvement_over_parent": null }, "node_1363": { "node_id": "node_1363", "content": "MODIFICATION: Increase 0 thickness by 53%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n\nPerformance:\n Mass: 183.93 kg\n Factor of Safety: 0.97\n Max Deflection: 2.64e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 183.9291857550625, "fos_buckling": 0.9679363614335228, "fos_yielding": 2.2142620238090602, "deflection": 0.00263681444473013, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.531)" }, "parent_node_id": "node_1362", "improvement_over_parent": null }, "node_1364": { "node_id": "node_1364", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 197.25 kg\n Factor of Safety: 1.27\n Max Deflection: 2.38e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 197.25271982670773, "fos_buckling": 1.271380072204858, "fos_yielding": 2.2102642632015277, "deflection": 0.0023815107611087683, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.004024)" }, "parent_node_id": "node_1363", "improvement_over_parent": null }, "node_1365": { "node_id": "node_1365", "content": "MODIFICATION: Increase 2 thickness by 64%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 200.11 kg\n Factor of Safety: 1.27\n Max Deflection: 2.18e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 200.1116626542746, "fos_buckling": 1.2711338455340182, "fos_yielding": 3.503913010994774, "deflection": 0.0021788359751098666, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.642)" }, "parent_node_id": "node_1364", "improvement_over_parent": null }, "node_1366": { "node_id": "node_1366", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n\nPerformance:\n Mass: 203.94 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.94407142099337, "fos_buckling": 1.5436463465139252, "fos_yielding": 4.255100701572764, "deflection": 0.0020067946018160537, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002592)" }, "parent_node_id": "node_1365", "improvement_over_parent": null }, "node_1367": { "node_id": "node_1367", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1366", "improvement_over_parent": null }, "node_1368": { "node_id": "node_1368", "content": "INITIAL DESIGN (Trace 194)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0031)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n\nPerformance:\n Mass: 136.19 kg\n Factor of Safety: 0.26\n Max Deflection: 7.08e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 136.18630476497353, "fos_buckling": 0.2646244706270557, "fos_yielding": 1.4014371734868336, "deflection": 0.007077642771015916, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1369": { "node_id": "node_1369", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0031)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0044)]\n\nPerformance:\n Mass: 161.38 kg\n Factor of Safety: 1.20\n Max Deflection: 2.52e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 161.37887048506937, "fos_buckling": 1.1954558672769886, "fos_yielding": 3.4324458832977114, "deflection": 0.002519043893968844, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.004415)" }, "parent_node_id": "node_1368", "improvement_over_parent": null }, "node_1370": { "node_id": "node_1370", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n\nPerformance:\n Mass: 200.54 kg\n Factor of Safety: 1.44\n Max Deflection: 2.03e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 200.53948203372525, "fos_buckling": 1.4404704781913515, "fos_yielding": 4.253908748471174, "deflection": 0.0020322946559970267, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.266)" }, "parent_node_id": "node_1369", "improvement_over_parent": null }, "node_1371": { "node_id": "node_1371", "content": "MODIFICATION: Increase 10 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n\nPerformance:\n Mass: 203.89 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.8880009230932, "fos_buckling": 1.543332636248128, "fos_yielding": 4.251354351024439, "deflection": 0.002007490629124039, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.195)" }, "parent_node_id": "node_1370", "improvement_over_parent": null }, "node_1372": { "node_id": "node_1372", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1371", "improvement_over_parent": null }, "node_1373": { "node_id": "node_1373", "content": "INITIAL DESIGN (Trace 195)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0013)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0035)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0025)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0029)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0042)]\n\nPerformance:\n Mass: 152.16 kg\n Factor of Safety: 1.08\n Max Deflection: 2.68e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 152.16198694083414, "fos_buckling": 1.0830887901819677, "fos_yielding": 3.1578379946387543, "deflection": 0.0026819848398475727, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1374": { "node_id": "node_1374", "content": "MODIFICATION: Increase 5 thickness by 54%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0035)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0025)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0029)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0042)]\n\nPerformance:\n Mass: 153.15 kg\n Factor of Safety: 1.06\n Max Deflection: 2.67e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 153.14948805032157, "fos_buckling": 1.0596709475363408, "fos_yielding": 3.191451582643935, "deflection": 0.002671482579053272, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.541)" }, "parent_node_id": "node_1373", "improvement_over_parent": null }, "node_1375": { "node_id": "node_1375", "content": "MODIFICATION: Increase 8 thickness by 50%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0035)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0025)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0029)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0042)]\n\nPerformance:\n Mass: 156.42 kg\n Factor of Safety: 1.24\n Max Deflection: 2.61e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 156.42047180503585, "fos_buckling": 1.2373182379500776, "fos_yielding": 3.2711342905963163, "deflection": 0.0026088114916668886, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.504)" }, "parent_node_id": "node_1374", "improvement_over_parent": null }, "node_1376": { "node_id": "node_1376", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0048)]\n\nPerformance:\n Mass: 177.80 kg\n Factor of Safety: 1.38\n Max Deflection: 2.30e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 177.79901308854323, "fos_buckling": 1.3791361950524417, "fos_yielding": 3.713432629630206, "deflection": 0.0022982146673122725, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.148)" }, "parent_node_id": "node_1375", "improvement_over_parent": null }, "node_1377": { "node_id": "node_1377", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.86 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.85588168352425, "fos_buckling": 1.5432229314269608, "fos_yielding": 4.2509852892285975, "deflection": 0.0020077378360899754, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.161)" }, "parent_node_id": "node_1376", "improvement_over_parent": null }, "node_1378": { "node_id": "node_1378", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1377", "improvement_over_parent": null }, "node_1379": { "node_id": "node_1379", "content": "INITIAL DESIGN (Trace 196)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0018)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0048)]\n\nPerformance:\n Mass: 150.41 kg\n Factor of Safety: 0.70\n Max Deflection: 2.66e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 150.41480353646838, "fos_buckling": 0.7019919878947528, "fos_yielding": 2.752413494683595, "deflection": 0.0026574689792388793, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1380": { "node_id": "node_1380", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0018)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0048)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n\nPerformance:\n Mass: 158.81 kg\n Factor of Safety: 1.14\n Max Deflection: 2.56e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 158.81020156038522, "fos_buckling": 1.1355723478203839, "fos_yielding": 3.0570592963582657, "deflection": 0.002558544508617962, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.002943)" }, "parent_node_id": "node_1379", "improvement_over_parent": null }, "node_1381": { "node_id": "node_1381", "content": "MODIFICATION: Increase 3 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0018)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0048)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n\nPerformance:\n Mass: 159.25 kg\n Factor of Safety: 1.14\n Max Deflection: 2.55e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 159.24738194575676, "fos_buckling": 1.1355554907830105, "fos_yielding": 3.0570139157509355, "deflection": 0.00255435745470102, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.235)" }, "parent_node_id": "node_1380", "improvement_over_parent": null }, "node_1382": { "node_id": "node_1382", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n\nPerformance:\n Mass: 182.93 kg\n Factor of Safety: 1.27\n Max Deflection: 2.23e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 182.93038331904424, "fos_buckling": 1.272424977886769, "fos_yielding": 3.5052893258043234, "deflection": 0.0022271108464206554, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.163)" }, "parent_node_id": "node_1381", "improvement_over_parent": null }, "node_1383": { "node_id": "node_1383", "content": "MODIFICATION: Increase 9 thickness by 61%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0076)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n\nPerformance:\n Mass: 194.49 kg\n Factor of Safety: 1.27\n Max Deflection: 2.17e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 194.4916522677095, "fos_buckling": 1.2719264163181982, "fos_yielding": 3.5039158833028496, "deflection": 0.002174048011644695, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.610)" }, "parent_node_id": "node_1382", "improvement_over_parent": null }, "node_1384": { "node_id": "node_1384", "content": "MODIFICATION: Increase 5 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0076)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n\nPerformance:\n Mass: 195.12 kg\n Factor of Safety: 1.27\n Max Deflection: 2.17e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 195.11641015084203, "fos_buckling": 1.2718725563063196, "fos_yielding": 3.5037675091919924, "deflection": 0.002174136716878894, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.214)" }, "parent_node_id": "node_1383", "improvement_over_parent": null }, "node_1385": { "node_id": "node_1385", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0076)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 210.57 kg\n Factor of Safety: 1.32\n Max Deflection: 2.02e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 210.56731466458282, "fos_buckling": 1.3238967063251679, "fos_yielding": 3.6975479997736014, "deflection": 0.002020544166559613, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003928)" }, "parent_node_id": "node_1384", "improvement_over_parent": null }, "node_1386": { "node_id": "node_1386", "content": "MODIFICATION: Increase 4 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0076)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 212.07 kg\n Factor of Safety: 1.36\n Max Deflection: 1.97e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 212.07461665337348, "fos_buckling": 1.3633380062011982, "fos_yielding": 4.147983227780163, "deflection": 0.001973541468406926, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.289)" }, "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "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 197)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0017)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0020)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0009)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0010)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0018)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0018)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0024)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0021)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0030)]\n\nPerformance:\n Mass: 101.06 kg\n Factor of Safety: 0.16\n Max Deflection: 5.90e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 101.059149765353, "fos_buckling": 0.1646868535153176, "fos_yielding": 1.1132735188618146, "deflection": 0.005896013865980253, "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 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0011)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0012)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0022)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0025)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0036)]\n\nPerformance:\n Mass: 119.01 kg\n Factor of Safety: 0.19\n Max Deflection: 5.01e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 119.00522435754006, "fos_buckling": 0.1914312885393395, "fos_yielding": 1.3109307622247348, "deflection": 0.005014362798831534, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.188)" }, "parent_node_id": "node_1388", "improvement_over_parent": null }, "node_1390": { "node_id": "node_1390", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0011)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0012)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0022)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0025)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0036)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0025)]\n\nPerformance:\n Mass: 131.20 kg\n Factor of Safety: 0.84\n Max Deflection: 3.09e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 131.20164957219254, "fos_buckling": 0.8420299660037629, "fos_yielding": 2.7956028462216254, "deflection": 0.0030869188910306287, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.002480)" }, "parent_node_id": "node_1389", "improvement_over_parent": null }, "node_1391": { "node_id": "node_1391", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0014)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0042)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0029)]\n\nPerformance:\n Mass: 154.01 kg\n Factor of Safety: 0.97\n Max Deflection: 2.63e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 154.01372957244794, "fos_buckling": 0.9729893740351131, "fos_yielding": 3.2766318373817684, "deflection": 0.002633600688322723, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.186)" }, "parent_node_id": "node_1390", "improvement_over_parent": null }, "node_1392": { "node_id": "node_1392", "content": "MODIFICATION: Increase 10 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0014)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0031)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0042)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0029)]\n\nPerformance:\n Mass: 155.75 kg\n Factor of Safety: 0.92\n Max Deflection: 2.62e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 155.74757364946475, "fos_buckling": 0.9198034485079524, "fos_yielding": 3.2772722588652012, "deflection": 0.002623123775853579, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.215)" }, "parent_node_id": "node_1391", "improvement_over_parent": null }, "node_1393": { "node_id": "node_1393", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0041)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n\nPerformance:\n Mass: 200.90 kg\n Factor of Safety: 1.15\n Max Deflection: 2.04e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 200.90383212832626, "fos_buckling": 1.1517468100023587, "fos_yielding": 4.2160670573536345, "deflection": 0.0020389931232335755, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.318)" }, "parent_node_id": "node_1392", "improvement_over_parent": null }, "node_1394": { "node_id": "node_1394", "content": "MODIFICATION: Increase 3 thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0041)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n\nPerformance:\n Mass: 201.51 kg\n Factor of Safety: 1.35\n Max Deflection: 2.03e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 201.50822999199625, "fos_buckling": 1.354683916643101, "fos_yielding": 4.21681805469585, "deflection": 0.002032597469403596, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.300)" }, "parent_node_id": "node_1393", "improvement_over_parent": null }, "node_1395": { "node_id": "node_1395", "content": "MODIFICATION: Increase 5 thickness by 41%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0041)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n\nPerformance:\n Mass: 202.55 kg\n Factor of Safety: 1.35\n Max Deflection: 2.02e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 202.55498536158663, "fos_buckling": 1.3519659499480394, "fos_yielding": 4.258221356068299, "deflection": 0.0020247608084840523, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.412)" }, "parent_node_id": "node_1394", "improvement_over_parent": null }, "node_1396": { "node_id": "node_1396", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1395", "improvement_over_parent": null }, "node_1397": { "node_id": "node_1397", "content": "INITIAL DESIGN (Trace 198)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0025)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0042)]\n\nPerformance:\n Mass: 144.78 kg\n Factor of Safety: 1.03\n Max Deflection: 2.83e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 144.7760511546918, "fos_buckling": 1.025340129137012, "fos_yielding": 2.7130845934204744, "deflection": 0.002829974377160596, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1398": { "node_id": "node_1398", "content": "MODIFICATION: Increase 0 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0025)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0042)]\n\nPerformance:\n Mass: 145.52 kg\n Factor of Safety: 1.03\n Max Deflection: 2.81e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 145.52371488345355, "fos_buckling": 1.0253140727829446, "fos_yielding": 2.7130156474280462, "deflection": 0.0028127743328234347, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.229)" }, "parent_node_id": "node_1397", "improvement_over_parent": null }, "node_1399": { "node_id": "node_1399", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0025)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0042)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n\nPerformance:\n Mass: 157.45 kg\n Factor of Safety: 1.24\n Max Deflection: 2.59e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 157.45404617419192, "fos_buckling": 1.2443057249115503, "fos_yielding": 3.2924749513157043, "deflection": 0.0025918595442277394, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.002967)" }, "parent_node_id": "node_1398", "improvement_over_parent": null }, "node_1400": { "node_id": "node_1400", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 204.07 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.07240679623231, "fos_buckling": 1.5445268517573065, "fos_yielding": 4.255357334316129, "deflection": 0.0020056386475650174, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.325)" }, "parent_node_id": "node_1399", "improvement_over_parent": null }, "node_1401": { "node_id": "node_1401", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1400", "improvement_over_parent": null }, "node_1402": { "node_id": "node_1402", "content": "INITIAL DESIGN (Trace 199)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n\nPerformance:\n Mass: 112.86 kg\n Factor of Safety: 0.19\n Max Deflection: 1.47e+13 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 112.85588656301529, "fos_buckling": 0.1851259604758203, "fos_yielding": 1.3459549443151575, "deflection": 14714988670764.492, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1403": { "node_id": "node_1403", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n\nPerformance:\n Mass: 126.23 kg\n Factor of Safety: 0.06\n Max Deflection: 2.51e+13 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 126.23155360328775, "fos_buckling": 0.06301852515209758, "fos_yielding": 0.3364887360787894, "deflection": 25148426634536.008, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003356)" }, "parent_node_id": "node_1402", "improvement_over_parent": null }, "node_1404": { "node_id": "node_1404", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 145.92 kg\n Factor of Safety: 0.42\n Max Deflection: 2.83e+12 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 145.92035907898395, "fos_buckling": 0.4161802537456428, "fos_yielding": 2.588506359943615, "deflection": 2831578696422.1533, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.171)" }, "parent_node_id": "node_1403", "improvement_over_parent": null }, "node_1405": { "node_id": "node_1405", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n\nPerformance:\n Mass: 153.15 kg\n Factor of Safety: 0.32\n Max Deflection: 5.71e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 153.15150486719236, "fos_buckling": 0.31742730777683614, "fos_yielding": 1.7413714483117302, "deflection": 0.005711830456542232, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.003560)" }, "parent_node_id": "node_1404", "improvement_over_parent": null }, "node_1406": { "node_id": "node_1406", "content": "MODIFICATION: Increase 0 thickness by 35%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n\nPerformance:\n Mass: 154.49 kg\n Factor of Safety: 0.32\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": 154.48909981688033, "fos_buckling": 0.3174129167768678, "fos_yielding": 1.7412922684454768, "deflection": 0.0056963401723137555, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.353)" }, "parent_node_id": "node_1405", "improvement_over_parent": null }, "node_1407": { "node_id": "node_1407", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n\nPerformance:\n Mass: 170.07 kg\n Factor of Safety: 0.32\n Max Deflection: 5.68e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 170.07043644933287, "fos_buckling": 0.3169108226951398, "fos_yielding": 1.7385297396507624, "deflection": 0.005682959417818701, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.003945)" }, "parent_node_id": "node_1406", "improvement_over_parent": null }, "node_1408": { "node_id": "node_1408", "content": "MODIFICATION: Increase 2 thickness by 56%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n\nPerformance:\n Mass: 172.68 kg\n Factor of Safety: 0.32\n Max Deflection: 5.68e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 172.6817236304671, "fos_buckling": 0.31685482379505786, "fos_yielding": 1.7382216344990926, "deflection": 0.0056837051701199666, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.558)" }, "parent_node_id": "node_1407", "improvement_over_parent": null }, "node_1409": { "node_id": "node_1409", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n\nPerformance:\n Mass: 203.99 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.99127397539593, "fos_buckling": 1.5438640546575155, "fos_yielding": 4.256529838715607, "deflection": 0.002006416364723694, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.005592)" }, "parent_node_id": "node_1408", "improvement_over_parent": null }, "node_1410": { "node_id": "node_1410", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1409", "improvement_over_parent": null }, "node_1411": { "node_id": "node_1411", "content": "INITIAL DESIGN (Trace 200)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0031)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0019)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0035)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0042)]\n\nPerformance:\n Mass: 142.17 kg\n Factor of Safety: 1.01\n Max Deflection: 2.80e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 142.16982519535134, "fos_buckling": 1.012294539892443, "fos_yielding": 3.192940927947203, "deflection": 0.0027956171692695196, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1412": { "node_id": "node_1412", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0048)]\n\nPerformance:\n Mass: 161.53 kg\n Factor of Safety: 1.13\n Max Deflection: 2.46e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 161.52754623511052, "fos_buckling": 1.1265697211691157, "fos_yielding": 3.6225924582103928, "deflection": 0.002464597525626599, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.147)" }, "parent_node_id": "node_1411", "improvement_over_parent": null }, "node_1413": { "node_id": "node_1413", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0048)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0019)]\n\nPerformance:\n Mass: 168.13 kg\n Factor of Safety: 1.23\n Max Deflection: 2.37e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 168.12874624951525, "fos_buckling": 1.2256163760399417, "fos_yielding": 3.3948880810111386, "deflection": 0.0023667765210839097, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.001885)" }, "parent_node_id": "node_1412", "improvement_over_parent": null }, "node_1414": { "node_id": "node_1414", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0042)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0022)]\n\nPerformance:\n Mass: 194.25 kg\n Factor of Safety: 1.39\n Max Deflection: 2.05e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 194.25435006949925, "fos_buckling": 1.389834613469789, "fos_yielding": 3.9257695120815113, "deflection": 0.0020525442035287996, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.170)" }, "parent_node_id": "node_1413", "improvement_over_parent": null }, "node_1415": { "node_id": "node_1415", "content": "MODIFICATION: Increase 9 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0042)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0022)]\n\nPerformance:\n Mass: 196.64 kg\n Factor of Safety: 1.39\n Max Deflection: 2.04e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 196.64027296543955, "fos_buckling": 1.389419915319749, "fos_yielding": 3.9245981429571817, "deflection": 0.0020406953176018007, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.364)" }, "parent_node_id": "node_1414", "improvement_over_parent": null }, "node_1416": { "node_id": "node_1416", "content": "MODIFICATION: Increase 11 thickness by 53%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0042)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0067)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0022)]\n\nPerformance:\n Mass: 205.31 kg\n Factor of Safety: 1.38\n Max Deflection: 2.00e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 205.31305470201517, "fos_buckling": 1.3838044838205437, "fos_yielding": 3.9087366227711744, "deflection": 0.0020021709656886134, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.527)" }, "parent_node_id": "node_1415", "improvement_over_parent": null }, "node_1417": { "node_id": "node_1417", "content": "MODIFICATION: Increase 6 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0067)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0022)]\n\nPerformance:\n Mass: 209.04 kg\n Factor of Safety: 1.55\n Max Deflection: 1.98e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 209.0429306951253, "fos_buckling": 1.5492588577792012, "fos_yielding": 4.2491991906573725, "deflection": 0.0019843736112967487, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.229)" }, "parent_node_id": "node_1416", "improvement_over_parent": null }, "node_1418": { "node_id": "node_1418", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1417", "improvement_over_parent": null }, "node_1419": { "node_id": "node_1419", "content": "INITIAL DESIGN (Trace 201)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0022)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 177.34 kg\n Factor of Safety: 1.08\n Max Deflection: 2.35e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 177.33501540377398, "fos_buckling": 1.08197304142323, "fos_yielding": 2.9675514631928004, "deflection": 0.002346958054388318, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1420": { "node_id": "node_1420", "content": "MODIFICATION: Increase 12 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 179.61 kg\n Factor of Safety: 1.11\n Max Deflection: 2.32e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 179.61466464315004, "fos_buckling": 1.1065304033476087, "fos_yielding": 3.0349054845231143, "deflection": 0.0023173417672858964, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.236)" }, "parent_node_id": "node_1419", "improvement_over_parent": null }, "node_1421": { "node_id": "node_1421", "content": "MODIFICATION: Increase 12 thickness by 58%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 186.19 kg\n Factor of Safety: 1.15\n Max Deflection: 2.26e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 186.19485689453222, "fos_buckling": 1.1548550940359725, "fos_yielding": 3.1674466857086423, "deflection": 0.002262877597665889, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.577)" }, "parent_node_id": "node_1420", "improvement_over_parent": null }, "node_1422": { "node_id": "node_1422", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 201.65 kg\n Factor of Safety: 1.20\n Max Deflection: 2.09e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 201.64576140827302, "fos_buckling": 1.1997089769872658, "fos_yielding": 3.290468425517335, "deflection": 0.002085748645471429, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003928)" }, "parent_node_id": "node_1421", "improvement_over_parent": null }, "node_1423": { "node_id": "node_1423", "content": "MODIFICATION: Increase 4 thickness by 50%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 203.92 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.91775650364764, "fos_buckling": 1.543663867476583, "fos_yielding": 4.252471209852179, "deflection": 0.0020070010492973544, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.502)" }, "parent_node_id": "node_1422", "improvement_over_parent": null }, "node_1424": { "node_id": "node_1424", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1423", "improvement_over_parent": null }, "node_1425": { "node_id": "node_1425", "content": "INITIAL DESIGN (Trace 202)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0025)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0022)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n\nPerformance:\n Mass: 128.34 kg\n Factor of Safety: 0.50\n Max Deflection: 3.07e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 128.34334610741766, "fos_buckling": 0.49978995194064757, "fos_yielding": 2.318140722696422, "deflection": 3073020728271.1016, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1426": { "node_id": "node_1426", "content": "MODIFICATION: Increase 9 thickness by 66%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0025)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n\nPerformance:\n Mass: 134.95 kg\n Factor of Safety: 0.34\n Max Deflection: 6.89e+12 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 134.9463126818459, "fos_buckling": 0.3436055919591952, "fos_yielding": 1.3951913400012481, "deflection": 6887131209233.662, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.661)" }, "parent_node_id": "node_1425", "improvement_over_parent": null }, "node_1427": { "node_id": "node_1427", "content": "MODIFICATION: Increase 3 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0025)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n\nPerformance:\n Mass: 135.35 kg\n Factor of Safety: 0.24\n Max Deflection: 6.28e+12 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 135.34898513232977, "fos_buckling": 0.24153696528630642, "fos_yielding": 2.257970643162389, "deflection": 6283721111282.985, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.241)" }, "parent_node_id": "node_1426", "improvement_over_parent": null }, "node_1428": { "node_id": "node_1428", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0049)]\n\nPerformance:\n Mass: 153.12 kg\n Factor of Safety: 0.00\n Max Deflection: 1.58e+15 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 153.1240992127673, "fos_buckling": 0.0007917366734900859, "fos_yielding": 0.005055676484264874, "deflection": 1575006887282780.2, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.142)" }, "parent_node_id": "node_1427", "improvement_over_parent": null }, "node_1429": { "node_id": "node_1429", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0049)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n\nPerformance:\n Mass: 166.85 kg\n Factor of Safety: 0.43\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": 166.85427037971286, "fos_buckling": 0.42687526989903435, "fos_yielding": 2.052123298434814, "deflection": 0.006085957238013941, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.003436)" }, "parent_node_id": "node_1428", "improvement_over_parent": null }, "node_1430": { "node_id": "node_1430", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n\nPerformance:\n Mass: 189.39 kg\n Factor of Safety: 0.47\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": 189.39240653967747, "fos_buckling": 0.47353841186236584, "fos_yielding": 2.324231602808741, "deflection": 0.005372215507770092, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.148)" }, "parent_node_id": "node_1429", "improvement_over_parent": null }, "node_1431": { "node_id": "node_1431", "content": "MODIFICATION: Increase 5 thickness by 56%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n\nPerformance:\n Mass: 196.71 kg\n Factor of Safety: 0.47\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": 196.70535801328893, "fos_buckling": 0.4735384118623657, "fos_yielding": 2.3242316028087413, "deflection": 0.005185109521813759, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.562)" }, "parent_node_id": "node_1430", "improvement_over_parent": null }, "node_1432": { "node_id": "node_1432", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n\nPerformance:\n Mass: 203.94 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93650380149734, "fos_buckling": 1.543866022020684, "fos_yielding": 4.253130647009257, "deflection": 0.0020068669665569572, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.003560)" }, "parent_node_id": "node_1431", "improvement_over_parent": null }, "node_1433": { "node_id": "node_1433", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1432", "improvement_over_parent": null }, "node_1434": { "node_id": "node_1434", "content": "INITIAL DESIGN (Trace 203)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0026)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n\nPerformance:\n Mass: 113.24 kg\n Factor of Safety: 0.26\n Max Deflection: 7.34e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 113.23511707761935, "fos_buckling": 0.2611018643798527, "fos_yielding": 1.3794094332680713, "deflection": 0.007335666344054093, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1435": { "node_id": "node_1435", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0026)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0043)]\n\nPerformance:\n Mass: 138.00 kg\n Factor of Safety: 0.79\n Max Deflection: 2.92e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 137.9974422040008, "fos_buckling": 0.7854893634682057, "fos_yielding": 2.306445273617283, "deflection": 0.0029209587816120424, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.004334)" }, "parent_node_id": "node_1434", "improvement_over_parent": null }, "node_1436": { "node_id": "node_1436", "content": "MODIFICATION: Increase 6 thickness by 60%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0026)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0043)]\n\nPerformance:\n Mass: 144.11 kg\n Factor of Safety: 0.79\n Max Deflection: 2.83e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 144.10820426733844, "fos_buckling": 0.7854893634682056, "fos_yielding": 2.7760845180989713, "deflection": 0.0028294747642038497, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.597)" }, "parent_node_id": "node_1435", "improvement_over_parent": null }, "node_1437": { "node_id": "node_1437", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0026)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0043)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n\nPerformance:\n Mass: 156.43 kg\n Factor of Safety: 1.06\n Max Deflection: 2.60e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 156.42936684888195, "fos_buckling": 1.0582970980403978, "fos_yielding": 3.3760567629329548, "deflection": 0.0025960292144773262, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.003057)" }, "parent_node_id": "node_1436", "improvement_over_parent": null }, "node_1438": { "node_id": "node_1438", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0033)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n\nPerformance:\n Mass: 197.85 kg\n Factor of Safety: 1.30\n Max Deflection: 2.06e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 197.85315506022425, "fos_buckling": 1.3026033477252155, "fos_yielding": 4.257045247871225, "deflection": 0.0020579508405500907, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.290)" }, "parent_node_id": "node_1437", "improvement_over_parent": null }, "node_1439": { "node_id": "node_1439", "content": "MODIFICATION: Increase 10 thickness by 41%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n\nPerformance:\n Mass: 203.91 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.91427662530896, "fos_buckling": 1.5436166767469786, "fos_yielding": 4.251915193936446, "deflection": 0.0020072026287849937, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.412)" }, "parent_node_id": "node_1438", "improvement_over_parent": null }, "node_1440": { "node_id": "node_1440", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1439", "improvement_over_parent": null }, "node_1441": { "node_id": "node_1441", "content": "INITIAL DESIGN (Trace 204)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0014)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0016)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0010)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0016)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0011)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0015)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0015)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0021)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0015)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0019)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0017)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0017)]\n\nPerformance:\n Mass: 73.36 kg\n Factor of Safety: 0.16\n Max Deflection: 2.57e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 73.357714296311, "fos_buckling": 0.1607776032758663, "fos_yielding": 0.8055238563647192, "deflection": 0.025698383493240908, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1442": { "node_id": "node_1442", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0014)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0016)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0010)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0016)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0011)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0015)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0015)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0021)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0015)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0019)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0017)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0017)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0014)]\n\nPerformance:\n Mass: 78.30 kg\n Factor of Safety: 0.16\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": 78.29857180258489, "fos_buckling": 0.16127637330417377, "fos_yielding": 0.80498038603727, "deflection": 0.01276800756047002, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.001409)" }, "parent_node_id": "node_1441", "improvement_over_parent": null }, "node_1443": { "node_id": "node_1443", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0016)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0019)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0011)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0018)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0013)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0017)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0017)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0024)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0017)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0022)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0020)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0020)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0016)]\n\nPerformance:\n Mass: 90.21 kg\n Factor of Safety: 0.18\n Max Deflection: 1.11e-02 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 90.20842878411484, "fos_buckling": 0.1834832503703912, "fos_yielding": 0.9266704631994099, "deflection": 0.011088207357120652, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.159)" }, "parent_node_id": "node_1442", "improvement_over_parent": null }, "node_1444": { "node_id": "node_1444", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0030)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0022)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0025)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n\nPerformance:\n Mass: 112.71 kg\n Factor of Safety: 0.22\n Max Deflection: 8.88e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 112.71088517780423, "fos_buckling": 0.2237814155476444, "fos_yielding": 1.1560448787067301, "deflection": 0.008883323906697278, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.264)" }, "parent_node_id": "node_1443", "improvement_over_parent": null }, "node_1445": { "node_id": "node_1445", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n\nPerformance:\n Mass: 132.18 kg\n Factor of Safety: 0.26\n Max Deflection: 7.58e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 132.18469688652817, "fos_buckling": 0.25691207230221924, "fos_yielding": 1.3539683121172141, "deflection": 0.007581057724472997, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.185)" }, "parent_node_id": "node_1444", "improvement_over_parent": null }, "node_1446": { "node_id": "node_1446", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0043)]\n\nPerformance:\n Mass: 156.52 kg\n Factor of Safety: 1.19\n Max Deflection: 2.61e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 156.52092058255903, "fos_buckling": 1.1857721030063688, "fos_yielding": 3.270663549929731, "deflection": 0.0026075833238549265, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.004254)" }, "parent_node_id": "node_1445", "improvement_over_parent": null }, "node_1447": { "node_id": "node_1447", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n\nPerformance:\n Mass: 201.35 kg\n Factor of Safety: 1.48\n Max Deflection: 2.03e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 201.34776724268045, "fos_buckling": 1.4840447873898057, "fos_yielding": 4.196606797758491, "deflection": 0.0020325267445319745, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.314)" }, "parent_node_id": "node_1446", "improvement_over_parent": null }, "node_1448": { "node_id": "node_1448", "content": "MODIFICATION: Increase 8 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0043)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n\nPerformance:\n Mass: 203.47 kg\n Factor of Safety: 1.46\n Max Deflection: 2.03e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 203.46818684747046, "fos_buckling": 1.4605528172964413, "fos_yielding": 4.2315133224716615, "deflection": 0.002026043625985733, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.250)" }, "parent_node_id": "node_1447", "improvement_over_parent": null }, "node_1449": { "node_id": "node_1449", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1448", "improvement_over_parent": null }, "node_1450": { "node_id": "node_1450", "content": "INITIAL DESIGN (Trace 205)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 179.72 kg\n Factor of Safety: 0.95\n Max Deflection: 2.47e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 179.7240269851111, "fos_buckling": 0.9495518318697632, "fos_yielding": 2.1951412711159812, "deflection": 0.002466559509781663, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1451": { "node_id": "node_1451", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n\nPerformance:\n Mass: 195.31 kg\n Factor of Safety: 1.26\n Max Deflection: 2.28e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 195.30536361756364, "fos_buckling": 1.263247850671634, "fos_yielding": 2.119825334393117, "deflection": 0.0022792749120441394, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.003945)" }, "parent_node_id": "node_1450", "improvement_over_parent": null }, "node_1452": { "node_id": "node_1452", "content": "MODIFICATION: Increase 2 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n\nPerformance:\n Mass: 196.58 kg\n Factor of Safety: 1.27\n Max Deflection: 2.16e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 196.57774926896613, "fos_buckling": 1.27124454118154, "fos_yielding": 2.7664566746215296, "deflection": 0.00216031400541372, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.364)" }, "parent_node_id": "node_1451", "improvement_over_parent": null }, "node_1453": { "node_id": "node_1453", "content": "MODIFICATION: Increase 3 thickness by 46%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n\nPerformance:\n Mass: 197.41 kg\n Factor of Safety: 1.56\n Max Deflection: 2.15e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 197.40878969921792, "fos_buckling": 1.5645774138402422, "fos_yielding": 2.7670229747623996, "deflection": 0.0021530953846116874, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.460)" }, "parent_node_id": "node_1452", "improvement_over_parent": null }, "node_1454": { "node_id": "node_1454", "content": "MODIFICATION: Increase 14 thickness by 35%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0076)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n\nPerformance:\n Mass: 207.10 kg\n Factor of Safety: 1.58\n Max Deflection: 2.02e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 207.10081972906139, "fos_buckling": 1.5779166774054398, "fos_yielding": 2.6791635027328167, "deflection": 0.00202360605153244, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.353)" }, "parent_node_id": "node_1453", "improvement_over_parent": null }, "node_1455": { "node_id": "node_1455", "content": "MODIFICATION: Increase 2 thickness by 61%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0076)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n\nPerformance:\n Mass: 209.88 kg\n Factor of Safety: 1.58\n Max Deflection: 1.88e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 209.87748792135343, "fos_buckling": 1.579123339134984, "fos_yielding": 4.0412466744427435, "deflection": 0.001883229978896952, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.613)" }, "parent_node_id": "node_1454", "improvement_over_parent": null }, "node_1456": { "node_id": "node_1456", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1455", "improvement_over_parent": null }, "node_1457": { "node_id": "node_1457", "content": "INITIAL DESIGN (Trace 206)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\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_1458": { "node_id": "node_1458", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n\nPerformance:\n Mass: 185.26 kg\n Factor of Safety: 0.96\n Max Deflection: 3.51e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 185.26012210034892, "fos_buckling": 0.9576436479227887, "fos_yielding": 2.6896973151511934, "deflection": 0.003514797419426466, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.003363)" }, "parent_node_id": "node_1457", "improvement_over_parent": null }, "node_1459": { "node_id": "node_1459", "content": "MODIFICATION: Increase 3 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n\nPerformance:\n Mass: 186.54 kg\n Factor of Safety: 0.99\n Max Deflection: 3.36e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 186.5352800997134, "fos_buckling": 0.9859278017693257, "fos_yielding": 3.2648471023982353, "deflection": 0.0033559098594741045, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.235)" }, "parent_node_id": "node_1458", "improvement_over_parent": null }, "node_1460": { "node_id": "node_1460", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n\nPerformance:\n Mass: 196.18 kg\n Factor of Safety: 1.27\n Max Deflection: 2.16e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 196.1770450219964, "fos_buckling": 1.2657352961141524, "fos_yielding": 4.220213212755128, "deflection": 0.002160052808316401, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.003423)" }, "parent_node_id": "node_1459", "improvement_over_parent": null }, "node_1461": { "node_id": "node_1461", "content": "MODIFICATION: Increase 11 thickness by 38%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0054)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n\nPerformance:\n Mass: 201.35 kg\n Factor of Safety: 1.27\n Max Deflection: 2.15e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 201.35096038600162, "fos_buckling": 1.2652962708086226, "fos_yielding": 4.290288300087664, "deflection": 0.0021478448323197755, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.383)" }, "parent_node_id": "node_1460", "improvement_over_parent": null }, "node_1462": { "node_id": "node_1462", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0054)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.34\n Max Deflection: 2.03e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 204.16519227512165, "fos_buckling": 1.337568287040159, "fos_yielding": 4.307862819597912, "deflection": 0.002033106078377617, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.002221)" }, "parent_node_id": "node_1461", "improvement_over_parent": null }, "node_1463": { "node_id": "node_1463", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1462", "improvement_over_parent": null }, "node_1464": { "node_id": "node_1464", "content": "INITIAL DESIGN (Trace 207)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0021)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0022)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 182.69 kg\n Factor of Safety: 0.82\n Max Deflection: 2.16e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 182.6857926542749, "fos_buckling": 0.8227623422817117, "fos_yielding": 2.169989880852549, "deflection": 0.002155127942874695, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1465": { "node_id": "node_1465", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0021)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0022)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n\nPerformance:\n Mass: 185.50 kg\n Factor of Safety: 0.81\n Max Deflection: 2.14e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 185.50002454339494, "fos_buckling": 0.8146664905946901, "fos_yielding": 2.148637522662455, "deflection": 0.0021445489477370933, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.002221)" }, "parent_node_id": "node_1464", "improvement_over_parent": null }, "node_1466": { "node_id": "node_1466", "content": "MODIFICATION: Increase 6 thickness by 63%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0021)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0042)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0022)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n\nPerformance:\n Mass: 189.62 kg\n Factor of Safety: 0.83\n Max Deflection: 2.12e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 189.62273919118627, "fos_buckling": 0.8276859038154558, "fos_yielding": 2.182975500340614, "deflection": 0.002119966221952922, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.629)" }, "parent_node_id": "node_1465", "improvement_over_parent": null }, "node_1467": { "node_id": "node_1467", "content": "MODIFICATION: Increase 7 thickness by 34%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0021)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0042)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0054)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0022)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n\nPerformance:\n Mass: 193.62 kg\n Factor of Safety: 0.83\n Max Deflection: 2.09e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 193.6231339884693, "fos_buckling": 0.8290889964344503, "fos_yielding": 2.1866760790237287, "deflection": 0.0020910148289884157, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.342)" }, "parent_node_id": "node_1466", "improvement_over_parent": null }, "node_1468": { "node_id": "node_1468", "content": "MODIFICATION: Increase 11 thickness by 53%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0021)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0042)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0054)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0022)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0067)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n\nPerformance:\n Mass: 202.29 kg\n Factor of Safety: 0.83\n Max Deflection: 2.06e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 202.29277246214377, "fos_buckling": 0.8261895414628543, "fos_yielding": 2.1790289279267268, "deflection": 0.00205632853969211, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.527)" }, "parent_node_id": "node_1467", "improvement_over_parent": null }, "node_1469": { "node_id": "node_1469", "content": "MODIFICATION: Increase 6 thickness by 53%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0021)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0064)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0054)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0022)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0067)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n\nPerformance:\n Mass: 207.33 kg\n Factor of Safety: 0.84\n Max Deflection: 2.04e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 207.33427115238203, "fos_buckling": 0.8353635754893851, "fos_yielding": 2.203224932023075, "deflection": 0.0020380155255532635, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.531)" }, "parent_node_id": "node_1468", "improvement_over_parent": null }, "node_1470": { "node_id": "node_1470", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1469", "improvement_over_parent": null }, "node_1471": { "node_id": "node_1471", "content": "INITIAL DESIGN (Trace 208)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0019)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n\nPerformance:\n Mass: 120.38 kg\n Factor of Safety: 0.92\n Max Deflection: 3.40e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 120.37917062766105, "fos_buckling": 0.9222036091159594, "fos_yielding": 2.570947021411804, "deflection": 0.0034016696152876654, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1472": { "node_id": "node_1472", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0019)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n\nPerformance:\n Mass: 135.30 kg\n Factor of Safety: 1.03\n Max Deflection: 2.98e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 135.30357976967827, "fos_buckling": 1.034148193966769, "fos_yielding": 2.7461274073977626, "deflection": 0.002977197800802462, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.003341)" }, "parent_node_id": "node_1471", "improvement_over_parent": null }, "node_1473": { "node_id": "node_1473", "content": "MODIFICATION: Increase 1 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0019)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n\nPerformance:\n Mass: 136.41 kg\n Factor of Safety: 1.03\n Max Deflection: 2.92e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 136.41120046249583, "fos_buckling": 1.0339163901396746, "fos_yielding": 2.745817197468549, "deflection": 0.0029219744921338336, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.241)" }, "parent_node_id": "node_1472", "improvement_over_parent": null }, "node_1474": { "node_id": "node_1474", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0048)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n\nPerformance:\n Mass: 151.67 kg\n Factor of Safety: 1.13\n Max Deflection: 2.63e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 151.67212091857573, "fos_buckling": 1.1299432841113424, "fos_yielding": 3.0496467243631584, "deflection": 0.0026311260511030165, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.121)" }, "parent_node_id": "node_1473", "improvement_over_parent": null }, "node_1475": { "node_id": "node_1475", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n\nPerformance:\n Mass: 174.62 kg\n Factor of Safety: 1.27\n Max Deflection: 2.29e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 174.617464733922, "fos_buckling": 1.2670516808870045, "fos_yielding": 3.5051870122986344, "deflection": 0.0022895212322958445, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.166)" }, "parent_node_id": "node_1474", "improvement_over_parent": null }, "node_1476": { "node_id": "node_1476", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 190.07 kg\n Factor of Safety: 1.27\n Max Deflection: 2.14e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 190.0683692476628, "fos_buckling": 1.2657385988043637, "fos_yielding": 4.17066109782176, "deflection": 0.002140099967975724, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003928)" }, "parent_node_id": "node_1475", "improvement_over_parent": null }, "node_1477": { "node_id": "node_1477", "content": "MODIFICATION: Increase 9 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 192.57 kg\n Factor of Safety: 1.27\n Max Deflection: 2.13e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 192.57300446615756, "fos_buckling": 1.2657385988043637, "fos_yielding": 4.235195139298929, "deflection": 0.002128021793805863, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.389)" }, "parent_node_id": "node_1476", "improvement_over_parent": null }, "node_1478": { "node_id": "node_1478", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n\nPerformance:\n Mass: 203.90 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.8976464682644, "fos_buckling": 1.5434630738024733, "fos_yielding": 4.251779163017442, "deflection": 0.0020073496229979742, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.003363)" }, "parent_node_id": "node_1477", "improvement_over_parent": null }, "node_1479": { "node_id": "node_1479", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1478", "improvement_over_parent": null }, "node_1480": { "node_id": "node_1480", "content": "INITIAL DESIGN (Trace 209)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0042)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0046)]\n\nPerformance:\n Mass: 159.08 kg\n Factor of Safety: 1.09\n Max Deflection: 2.57e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 159.07580828722269, "fos_buckling": 1.0946977649221692, "fos_yielding": 3.538086686624146, "deflection": 0.0025723990438391697, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1481": { "node_id": "node_1481", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 190.25 kg\n Factor of Safety: 1.27\n Max Deflection: 2.16e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 190.24900093939308, "fos_buckling": 1.2669171536594954, "fos_yielding": 4.2227528118604525, "deflection": 0.002155412993930135, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.215)" }, "parent_node_id": "node_1480", "improvement_over_parent": null }, "node_1482": { "node_id": "node_1482", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n\nPerformance:\n Mass: 201.57 kg\n Factor of Safety: 1.49\n Max Deflection: 2.02e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 201.57364294149994, "fos_buckling": 1.494361795376029, "fos_yielding": 4.245426374689349, "deflection": 0.0020156722977950035, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.003363)" }, "parent_node_id": "node_1481", "improvement_over_parent": null }, "node_1483": { "node_id": "node_1483", "content": "MODIFICATION: Increase 7 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n\nPerformance:\n Mass: 203.96 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.96499265686685, "fos_buckling": 1.5439181066029062, "fos_yielding": 4.253309687644476, "deflection": 0.002006647208016486, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.362)" }, "parent_node_id": "node_1482", "improvement_over_parent": null }, "node_1484": { "node_id": "node_1484", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1483", "improvement_over_parent": null }, "node_1485": { "node_id": "node_1485", "content": "INITIAL DESIGN (Trace 210)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\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_1486": { "node_id": "node_1486", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 184.61 kg\n Factor of Safety: 0.97\n Max Deflection: 2.43e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 184.6107997210591, "fos_buckling": 0.9678824476162452, "fos_yielding": 3.5088168915177866, "deflection": 0.0024342876358542835, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003928)" }, "parent_node_id": "node_1485", "improvement_over_parent": null }, "node_1487": { "node_id": "node_1487", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 197.93 kg\n Factor of Safety: 1.27\n Max Deflection: 2.19e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 197.93433379270434, "fos_buckling": 1.2714147062668466, "fos_yielding": 3.5024816918340185, "deflection": 0.002190702190791728, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.004024)" }, "parent_node_id": "node_1486", "improvement_over_parent": null }, "node_1488": { "node_id": "node_1488", "content": "MODIFICATION: Increase 12 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0066)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 202.91 kg\n Factor of Safety: 1.43\n Max Deflection: 2.08e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 202.91018859870334, "fos_buckling": 1.4307766123321468, "fos_yielding": 3.5013012425098022, "deflection": 0.0020798158954862555, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.178)" }, "parent_node_id": "node_1487", "improvement_over_parent": null }, "node_1489": { "node_id": "node_1489", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0066)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n\nPerformance:\n Mass: 206.74 kg\n Factor of Safety: 1.56\n Max Deflection: 1.94e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 206.7425973654221, "fos_buckling": 1.5638018128728333, "fos_yielding": 4.1723798299506285, "deflection": 0.0019396466511672737, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002592)" }, "parent_node_id": "node_1488", "improvement_over_parent": null }, "node_1490": { "node_id": "node_1490", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1489", "improvement_over_parent": null }, "node_1491": { "node_id": "node_1491", "content": "INITIAL DESIGN (Trace 211)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0024)]\n\nPerformance:\n Mass: 147.54 kg\n Factor of Safety: 0.20\n Max Deflection: 9.69e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 147.5442907909625, "fos_buckling": 0.198096753215255, "fos_yielding": 0.7554815936014835, "deflection": 9692785080741.932, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1492": { "node_id": "node_1492", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0024)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n\nPerformance:\n Mass: 178.85 kg\n Factor of Safety: 0.96\n Max Deflection: 2.45e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 178.85384113589132, "fos_buckling": 0.9576699084107706, "fos_yielding": 3.5033447250850775, "deflection": 0.0024450006335321236, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.005592)" }, "parent_node_id": "node_1491", "improvement_over_parent": null }, "node_1493": { "node_id": "node_1493", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0024)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n\nPerformance:\n Mass: 194.44 kg\n Factor of Safety: 1.27\n Max Deflection: 2.18e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 194.43517776834386, "fos_buckling": 1.2717545302343338, "fos_yielding": 3.5030550276706993, "deflection": 0.00217831776049929, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.003945)" }, "parent_node_id": "node_1492", "improvement_over_parent": null }, "node_1494": { "node_id": "node_1494", "content": "MODIFICATION: Increase 13 thickness by 64%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0024)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0092)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n\nPerformance:\n Mass: 211.41 kg\n Factor of Safety: 1.54\n Max Deflection: 1.89e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 211.4111111821114, "fos_buckling": 1.542074931947547, "fos_yielding": 3.4990296878758174, "deflection": 0.001894475893388027, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.637)" }, "parent_node_id": "node_1493", "improvement_over_parent": null }, "node_1495": { "node_id": "node_1495", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0024)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0092)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n\nPerformance:\n Mass: 215.24 kg\n Factor of Safety: 1.58\n Max Deflection: 1.82e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 215.24351994883017, "fos_buckling": 1.579303662413415, "fos_yielding": 3.934091785499458, "deflection": 0.0018183704558255018, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002592)" }, "parent_node_id": "node_1494", "improvement_over_parent": null }, "node_1496": { "node_id": "node_1496", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1495", "improvement_over_parent": null }, "node_1497": { "node_id": "node_1497", "content": "INITIAL DESIGN (Trace 212)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 171.20 kg\n Factor of Safety: 0.99\n Max Deflection: 2.62e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 171.19617505563713, "fos_buckling": 0.9918215043171535, "fos_yielding": 3.2808849293561506, "deflection": 0.002620866352754364, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1498": { "node_id": "node_1498", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n\nPerformance:\n Mass: 190.30 kg\n Factor of Safety: 1.27\n Max Deflection: 2.14e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 190.29989437843054, "fos_buckling": 1.266509981873012, "fos_yielding": 4.24528646807299, "deflection": 0.002140476773002656, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.004368)" }, "parent_node_id": "node_1497", "improvement_over_parent": null }, "node_1499": { "node_id": "node_1499", "content": "MODIFICATION: Increase 12 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0047)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n\nPerformance:\n Mass: 192.92 kg\n Factor of Safety: 1.27\n Max Deflection: 2.13e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 192.91809871875617, "fos_buckling": 1.2662875077043543, "fos_yielding": 4.28588320764344, "deflection": 0.002133205757368601, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.190)" }, "parent_node_id": "node_1498", "improvement_over_parent": null }, "node_1500": { "node_id": "node_1500", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0047)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n\nPerformance:\n Mass: 204.24 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.24274072086303, "fos_buckling": 1.5415882537697796, "fos_yielding": 4.302656916782077, "deflection": 0.0020087039156455274, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.003363)" }, "parent_node_id": "node_1499", "improvement_over_parent": null }, "node_1501": { "node_id": "node_1501", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1500", "improvement_over_parent": null }, "node_1502": { "node_id": "node_1502", "content": "INITIAL DESIGN (Trace 213)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0017)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0012)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0029)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0019)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0019)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0026)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0019)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0024)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0022)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0031)]\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_1503": { "node_id": "node_1503", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0017)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0012)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0029)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0019)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0019)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0026)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0019)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0024)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0022)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0031)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0014)]\n\nPerformance:\n Mass: 105.47 kg\n Factor of Safety: 0.30\n Max Deflection: 9.77e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 105.46868426869737, "fos_buckling": 0.2979869376011015, "fos_yielding": 1.3619865593454539, "deflection": 0.00976782261752147, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.001450)" }, "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0017)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0012)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0029)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0019)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0019)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0026)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0019)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0024)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0022)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0031)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0014)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0022)]\n\nPerformance:\n Mass: 114.46 kg\n Factor of Safety: 0.30\n Max Deflection: 8.85e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 114.46072251752449, "fos_buckling": 0.2978044108462529, "fos_yielding": 1.361154006227958, "deflection": 0.008845056406819984, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.002198)" }, "parent_node_id": "node_1503", "improvement_over_parent": null }, "node_1505": { "node_id": "node_1505", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0016)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0036)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0033)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0024)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0039)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0028)]\n\nPerformance:\n Mass: 142.28 kg\n Factor of Safety: 0.36\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": 142.28076591585747, "fos_buckling": 0.3607847425162071, "fos_yielding": 1.6882389657678263, "deflection": 0.0071335834692730455, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.259)" }, "parent_node_id": "node_1504", "improvement_over_parent": null }, "node_1506": { "node_id": "node_1506", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0048)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n\nPerformance:\n Mass: 171.20 kg\n Factor of Safety: 0.42\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": 171.20109871060689, "fos_buckling": 0.4223994909174089, "fos_yielding": 2.026727625503314, "deflection": 0.005944080689571052, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.220)" }, "parent_node_id": "node_1505", "improvement_over_parent": null }, "node_1507": { "node_id": "node_1507", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 196.76 kg\n Factor of Safety: 0.47\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": 196.75707893631957, "fos_buckling": 0.4735912471053288, "fos_yielding": 2.3245475383470566, "deflection": 0.005183981000890539, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.164)" }, "parent_node_id": "node_1506", "improvement_over_parent": null }, "node_1508": { "node_id": "node_1508", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n\nPerformance:\n Mass: 203.99 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.98822472452798, "fos_buckling": 1.5440520509231273, "fos_yielding": 4.253749556392026, "deflection": 0.002006500888227218, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.003560)" }, "parent_node_id": "node_1507", "improvement_over_parent": null }, "node_1509": { "node_id": "node_1509", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1508", "improvement_over_parent": null }, "node_1510": { "node_id": "node_1510", "content": "INITIAL DESIGN (Trace 214)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0017)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n\nPerformance:\n Mass: 155.36 kg\n Factor of Safety: 1.14\n Max Deflection: 2.60e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 155.3586023452942, "fos_buckling": 1.1361236298234558, "fos_yielding": 3.3615151785789554, "deflection": 0.002595406872805554, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1511": { "node_id": "node_1511", "content": "MODIFICATION: Increase 7 thickness by 54%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n\nPerformance:\n Mass: 157.91 kg\n Factor of Safety: 1.17\n Max Deflection: 2.58e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 157.90995172539726, "fos_buckling": 1.1689549221536113, "fos_yielding": 3.369427627016692, "deflection": 0.002582520826931266, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.538)" }, "parent_node_id": "node_1510", "improvement_over_parent": null }, "node_1512": { "node_id": "node_1512", "content": "MODIFICATION: Increase 0 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n\nPerformance:\n Mass: 159.01 kg\n Factor of Safety: 1.18\n Max Deflection: 2.56e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 159.00545616641065, "fos_buckling": 1.1776635817554888, "fos_yielding": 3.367989153438396, "deflection": 0.0025566848426769005, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.361)" }, "parent_node_id": "node_1511", "improvement_over_parent": null }, "node_1513": { "node_id": "node_1513", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 200.92 kg\n Factor of Safety: 1.45\n Max Deflection: 2.03e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 200.9223903199537, "fos_buckling": 1.4470856873655378, "fos_yielding": 4.244250653688726, "deflection": 0.002028609423634851, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.289)" }, "parent_node_id": "node_1512", "improvement_over_parent": null }, "node_1514": { "node_id": "node_1514", "content": "MODIFICATION: Increase 12 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 204.00 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.00362391809628, "fos_buckling": 1.544036266647375, "fos_yielding": 4.253696065216815, "deflection": 0.0020063722585261247, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.211)" }, "parent_node_id": "node_1513", "improvement_over_parent": null }, "node_1515": { "node_id": "node_1515", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1514", "improvement_over_parent": null }, "node_1516": { "node_id": "node_1516", "content": "INITIAL DESIGN (Trace 215)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 175.26 kg\n Factor of Safety: 0.18\n Max Deflection: 1.77e+13 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 175.26363869054046, "fos_buckling": 0.1807451955690812, "fos_yielding": 0.8564522000032903, "deflection": 17690227944818.46, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1517": { "node_id": "node_1517", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n\nPerformance:\n Mass: 194.37 kg\n Factor of Safety: 0.47\n Max Deflection: 5.57e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 194.36735801333387, "fos_buckling": 0.4735915269893194, "fos_yielding": 2.1847855475054305, "deflection": 0.005571630035003177, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.004368)" }, "parent_node_id": "node_1516", "improvement_over_parent": null }, "node_1518": { "node_id": "node_1518", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n\nPerformance:\n Mass: 201.60 kg\n Factor of Safety: 1.50\n Max Deflection: 2.02e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 201.59850380154228, "fos_buckling": 1.4972810480162058, "fos_yielding": 4.244908997124697, "deflection": 0.002015762843312642, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.003560)" }, "parent_node_id": "node_1517", "improvement_over_parent": null }, "node_1519": { "node_id": "node_1519", "content": "MODIFICATION: Increase 7 thickness by 35%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0054)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n\nPerformance:\n Mass: 205.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.99e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 205.70034619715756, "fos_buckling": 1.5339463591337545, "fos_yielding": 4.310047738933095, "deflection": 0.0019862353945095824, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.351)" }, "parent_node_id": "node_1518", "improvement_over_parent": null }, "node_1520": { "node_id": "node_1520", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1519", "improvement_over_parent": null }, "node_1521": { "node_id": "node_1521", "content": "INITIAL DESIGN (Trace 216)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0032)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0046)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0031)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0042)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0023)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, 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_1522": { "node_id": "node_1522", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0032)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0046)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0031)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0042)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0023)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0050)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0035)]\n\nPerformance:\n Mass: 178.09 kg\n Factor of Safety: 1.17\n Max Deflection: 2.43e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 178.09021417670922, "fos_buckling": 1.1673588172032658, "fos_yielding": 3.159465134526678, "deflection": 0.002426208525307391, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003505)" }, "parent_node_id": "node_1521", "improvement_over_parent": null }, "node_1523": { "node_id": "node_1523", "content": "MODIFICATION: Increase 10 thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0032)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0046)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0031)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0042)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0050)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0035)]\n\nPerformance:\n Mass: 180.30 kg\n Factor of Safety: 1.17\n Max Deflection: 2.42e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 180.29834761631264, "fos_buckling": 1.1672714000829236, "fos_yielding": 3.1592285394542707, "deflection": 0.002415305308749611, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.300)" }, "parent_node_id": "node_1522", "improvement_over_parent": null }, "node_1524": { "node_id": "node_1524", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 200.15 kg\n Factor of Safety: 1.27\n Max Deflection: 2.18e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 200.1498827414657, "fos_buckling": 1.271423155619362, "fos_yielding": 3.502682294524881, "deflection": 0.0021785104766249425, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.121)" }, "parent_node_id": "node_1523", "improvement_over_parent": null }, "node_1525": { "node_id": "node_1525", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n\nPerformance:\n Mass: 203.98 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.98229150818446, "fos_buckling": 1.5440337439125433, "fos_yielding": 4.253705489827139, "deflection": 0.0020064619335641745, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002592)" }, "parent_node_id": "node_1524", "improvement_over_parent": null }, "node_1526": { "node_id": "node_1526", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1525", "improvement_over_parent": null }, "node_1527": { "node_id": "node_1527", "content": "INITIAL DESIGN (Trace 217)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0016)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0019)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0011)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0018)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0011)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0017)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0024)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0022)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0020)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0020)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0028)]\n\nPerformance:\n Mass: 96.63 kg\n Factor of Safety: 0.57\n Max Deflection: 6.28e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 96.63466314139127, "fos_buckling": 0.5697759619417259, "fos_yielding": 1.7422006544434148, "deflection": 0.006280751379653837, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1528": { "node_id": "node_1528", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0014)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0030)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0025)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0036)]\n\nPerformance:\n Mass: 120.28 kg\n Factor of Safety: 0.69\n Max Deflection: 5.06e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 120.27675410665142, "fos_buckling": 0.6936970916121739, "fos_yielding": 2.164117368985808, "deflection": 0.005055762668199658, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.259)" }, "parent_node_id": "node_1527", "improvement_over_parent": null }, "node_1529": { "node_id": "node_1529", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0042)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0046)]\n\nPerformance:\n Mass: 152.31 kg\n Factor of Safety: 0.85\n Max Deflection: 4.00e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 152.3070988742764, "fos_buckling": 0.8518944244934896, "fos_yielding": 2.7330487539234367, "deflection": 0.004002793474210539, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.287)" }, "parent_node_id": "node_1528", "improvement_over_parent": null }, "node_1530": { "node_id": "node_1530", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0042)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0046)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0023)]\n\nPerformance:\n Mass: 160.16 kg\n Factor of Safety: 0.80\n Max Deflection: 2.54e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 160.16069642832338, "fos_buckling": 0.7993711335385482, "fos_yielding": 3.3448947862200833, "deflection": 0.002539177885120432, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.002265)" }, "parent_node_id": "node_1529", "improvement_over_parent": null }, "node_1531": { "node_id": "node_1531", "content": "MODIFICATION: Increase 5 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0042)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0046)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0023)]\n\nPerformance:\n Mass: 160.62 kg\n Factor of Safety: 0.80\n Max Deflection: 2.54e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 160.61597195254424, "fos_buckling": 0.7981559268142017, "fos_yielding": 3.3459155641497635, "deflection": 0.0025356869895262328, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.179)" }, "parent_node_id": "node_1530", "improvement_over_parent": null }, "node_1532": { "node_id": "node_1532", "content": "MODIFICATION: Increase 10 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0042)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0046)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0023)]\n\nPerformance:\n Mass: 163.82 kg\n Factor of Safety: 0.78\n Max Deflection: 2.53e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 163.82445751508143, "fos_buckling": 0.7802950744086419, "fos_yielding": 3.360585524937722, "deflection": 0.002525192467414778, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.221)" }, "parent_node_id": "node_1531", "improvement_over_parent": null }, "node_1533": { "node_id": "node_1533", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0042)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0046)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0023)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n\nPerformance:\n Mass: 171.88 kg\n Factor of Safety: 1.33\n Max Deflection: 2.38e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 171.88166914801394, "fos_buckling": 1.3323732967618147, "fos_yielding": 3.564309408006902, "deflection": 0.0023833732875014027, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.002815)" }, "parent_node_id": "node_1532", "improvement_over_parent": null }, "node_1534": { "node_id": "node_1534", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0053)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n\nPerformance:\n Mass: 205.78 kg\n Factor of Safety: 1.55\n Max Deflection: 1.99e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 205.78302443748478, "fos_buckling": 1.546264318077377, "fos_yielding": 4.259557058352051, "deflection": 0.0019948148012882247, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.217)" }, "parent_node_id": "node_1533", "improvement_over_parent": null }, "node_1535": { "node_id": "node_1535", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1534", "improvement_over_parent": null }, "node_1536": { "node_id": "node_1536", "content": "INITIAL DESIGN (Trace 218)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0042)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M10: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0046)]\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_1537": { "node_id": "node_1537", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0042)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M10: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0046)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n\nPerformance:\n Mass: 127.99 kg\n Factor of Safety: 0.06\n Max Deflection: 3.76e+13 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 127.98792747383989, "fos_buckling": 0.0638789694939356, "fos_yielding": 0.28492007803633773, "deflection": 37636924834750.87, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.003229)" }, "parent_node_id": "node_1536", "improvement_over_parent": null }, "node_1538": { "node_id": "node_1538", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0042)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M10: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0046)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M12: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n\nPerformance:\n Mass: 146.46 kg\n Factor of Safety: 0.97\n Max Deflection: 3.98e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 146.4595329856787, "fos_buckling": 0.9680436655663412, "fos_yielding": 2.7227261646439582, "deflection": 0.003976788122847101, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.003854)" }, "parent_node_id": "node_1537", "improvement_over_parent": null }, "node_1539": { "node_id": "node_1539", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0042)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M10: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0046)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M12: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n\nPerformance:\n Mass: 148.80 kg\n Factor of Safety: 0.82\n Max Deflection: 2.70e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 148.8011217917892, "fos_buckling": 0.8199218228874828, "fos_yielding": 2.923234630652982, "deflection": 0.0026951910873138727, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.001818)" }, "parent_node_id": "node_1538", "improvement_over_parent": null }, "node_1540": { "node_id": "node_1540", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0042)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M10: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0046)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M12: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n\nPerformance:\n Mass: 156.82 kg\n Factor of Safety: 1.09\n Max Deflection: 2.61e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 156.82384924568834, "fos_buckling": 1.0926910288905636, "fos_yielding": 2.9216415190018994, "deflection": 0.002612015545946195, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.002802)" }, "parent_node_id": "node_1539", "improvement_over_parent": null }, "node_1541": { "node_id": "node_1541", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M10: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n\nPerformance:\n Mass: 188.38 kg\n Factor of Safety: 1.27\n Max Deflection: 2.18e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 188.38409833822652, "fos_buckling": 1.2715985736734616, "fos_yielding": 3.502657960028081, "deflection": 0.0021788597308063707, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.221)" }, "parent_node_id": "node_1540", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M10: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 203.84 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.83500285196732, "fos_buckling": 1.5430913799404369, "fos_yielding": 4.250493368661986, "deflection": 0.0020079991626099558, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003928)" }, "parent_node_id": "node_1541", "improvement_over_parent": null }, "node_1543": { "node_id": "node_1543", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1542", "improvement_over_parent": null }, "node_1544": { "node_id": "node_1544", "content": "INITIAL DESIGN (Trace 219)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0026)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0048)]\n\nPerformance:\n Mass: 175.06 kg\n Factor of Safety: 1.23\n Max Deflection: 2.31e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 175.06119711182964, "fos_buckling": 1.2322131727762595, "fos_yielding": 3.6672386951061897, "deflection": 0.002307562990757147, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1545": { "node_id": "node_1545", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 199.80 kg\n Factor of Safety: 1.38\n Max Deflection: 2.03e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 199.80245891524723, "fos_buckling": 1.379677491245254, "fos_yielding": 4.179303880948606, "deflection": 0.0020251929939123494, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.155)" }, "parent_node_id": "node_1544", "improvement_over_parent": null }, "node_1546": { "node_id": "node_1546", "content": "MODIFICATION: Increase 14 thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.39 kg\n Factor of Safety: 1.37\n Max Deflection: 2.01e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 203.39418385439484, "fos_buckling": 1.3737006075192408, "fos_yielding": 4.253151201543691, "deflection": 0.0020112127552339145, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.332)" }, "parent_node_id": "node_1545", "improvement_over_parent": null }, "node_1547": { "node_id": "node_1547", "content": "MODIFICATION: Increase 3 thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 204.00 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.99709233899603, "fos_buckling": 1.5440770447698535, "fos_yielding": 4.253797389840664, "deflection": 0.0020064504298923733, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.299)" }, "parent_node_id": "node_1546", "improvement_over_parent": null }, "node_1548": { "node_id": "node_1548", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1547", "improvement_over_parent": null }, "node_1549": { "node_id": "node_1549", "content": "INITIAL DESIGN (Trace 220)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0031)]\n\nPerformance:\n Mass: 149.57 kg\n Factor of Safety: 0.79\n Max Deflection: 3.00e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 149.56698979361386, "fos_buckling": 0.7931804716952413, "fos_yielding": 2.6675483986721362, "deflection": 0.0030022719002384328, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1550": { "node_id": "node_1550", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0031)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n\nPerformance:\n Mass: 162.72 kg\n Factor of Safety: 0.96\n Max Deflection: 2.66e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 162.72152277533377, "fos_buckling": 0.9591629513977965, "fos_yielding": 3.3859975546943573, "deflection": 0.002664998710108575, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003296)" }, "parent_node_id": "node_1549", "improvement_over_parent": null }, "node_1551": { "node_id": "node_1551", "content": "MODIFICATION: Increase 9 thickness by 44%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0031)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n\nPerformance:\n Mass: 165.07 kg\n Factor of Safety: 1.03\n Max Deflection: 2.64e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 165.0714259109909, "fos_buckling": 1.0304195925591233, "fos_yielding": 3.46540822950013, "deflection": 0.002636228019728263, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.437)" }, "parent_node_id": "node_1550", "improvement_over_parent": null }, "node_1552": { "node_id": "node_1552", "content": "MODIFICATION: Increase 15 thickness by 51%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0031)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0050)]\n\nPerformance:\n Mass: 171.03 kg\n Factor of Safety: 1.06\n Max Deflection: 2.60e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 171.02984164735648, "fos_buckling": 1.0606460557921709, "fos_yielding": 3.567062968203554, "deflection": 0.002601664945338727, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(15, thickness, 1.511)" }, "parent_node_id": "node_1551", "improvement_over_parent": null }, "node_1553": { "node_id": "node_1553", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0037)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0059)]\n\nPerformance:\n Mass: 200.85 kg\n Factor of Safety: 1.23\n Max Deflection: 2.22e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 200.8471040994008, "fos_buckling": 1.2261922430173624, "fos_yielding": 4.197361143031592, "deflection": 0.002215856479788762, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.192)" }, "parent_node_id": "node_1552", "improvement_over_parent": null }, "node_1554": { "node_id": "node_1554", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1553", "improvement_over_parent": null }, "node_1555": { "node_id": "node_1555", "content": "INITIAL DESIGN (Trace 221)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0015)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0031)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0028)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0020)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0024)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0034)]\n\nPerformance:\n Mass: 117.96 kg\n Factor of Safety: 0.68\n Max Deflection: 4.11e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 117.96207977298889, "fos_buckling": 0.6786976373112171, "fos_yielding": 1.5753136381454746, "deflection": 0.00410829265920275, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1556": { "node_id": "node_1556", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0020)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nPerformance:\n Mass: 149.53 kg\n Factor of Safety: 0.84\n Max Deflection: 3.24e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 149.52595048367107, "fos_buckling": 0.8358865913994243, "fos_yielding": 2.002932321256392, "deflection": 0.0032430921796755383, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.287)" }, "parent_node_id": "node_1555", "improvement_over_parent": null }, "node_1557": { "node_id": "node_1557", "content": "MODIFICATION: Increase 1 thickness by 46%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nPerformance:\n Mass: 151.37 kg\n Factor of Safety: 0.81\n Max Deflection: 3.06e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 151.37190272022764, "fos_buckling": 0.8092462408748685, "fos_yielding": 2.768782670293001, "deflection": 0.003061008276088236, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.462)" }, "parent_node_id": "node_1556", "improvement_over_parent": null }, "node_1558": { "node_id": "node_1558", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 190.67 kg\n Factor of Safety: 0.98\n Max Deflection: 2.43e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 190.6671717281566, "fos_buckling": 0.9834887960480763, "fos_yielding": 3.4818802688812522, "deflection": 0.0024344038278583963, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.285)" }, "parent_node_id": "node_1557", "improvement_over_parent": null }, "node_1559": { "node_id": "node_1559", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 203.99 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.99070579980184, "fos_buckling": 1.5440547451647464, "fos_yielding": 4.2537834751971255, "deflection": 0.0020064768683324746, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.004024)" }, "parent_node_id": "node_1558", "improvement_over_parent": null }, "node_1560": { "node_id": "node_1560", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1559", "improvement_over_parent": null }, "node_1561": { "node_id": "node_1561", "content": "INITIAL DESIGN (Trace 222)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0022)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nPerformance:\n Mass: 132.10 kg\n Factor of Safety: 0.29\n Max Deflection: 4.81e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 132.09580639308726, "fos_buckling": 0.2858352513254821, "fos_yielding": 2.057651940917842, "deflection": 0.004807698162268694, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1562": { "node_id": "node_1562", "content": "MODIFICATION: Increase 12 thickness by 40%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nPerformance:\n Mass: 135.47 kg\n Factor of Safety: 0.29\n Max Deflection: 4.76e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 135.46868701419845, "fos_buckling": 0.28577006163563884, "fos_yielding": 2.057182657681391, "deflection": 0.004757045516565689, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.397)" }, "parent_node_id": "node_1561", "improvement_over_parent": null }, "node_1563": { "node_id": "node_1563", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 167.50 kg\n Factor of Safety: 0.34\n Max Deflection: 3.86e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 167.5008324241242, "fos_buckling": 0.3402712688643161, "fos_yielding": 2.5338136104781754, "deflection": 0.003861736588333836, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.259)" }, "parent_node_id": "node_1562", "improvement_over_parent": null }, "node_1564": { "node_id": "node_1564", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n\nPerformance:\n Mass: 189.70 kg\n Factor of Safety: 0.84\n Max Deflection: 2.21e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 189.703817107838, "fos_buckling": 0.8360760484651649, "fos_yielding": 3.1333215924715443, "deflection": 0.0022104130685706254, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.004709)" }, "parent_node_id": "node_1563", "improvement_over_parent": null }, "node_1565": { "node_id": "node_1565", "content": "MODIFICATION: Increase 12 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0047)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n\nPerformance:\n Mass: 192.58 kg\n Factor of Safety: 0.83\n Max Deflection: 2.20e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 192.57841733961158, "fos_buckling": 0.8329913050089779, "fos_yielding": 3.1660084813759526, "deflection": 0.0022016420616779433, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.209)" }, "parent_node_id": "node_1564", "improvement_over_parent": null }, "node_1566": { "node_id": "node_1566", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0047)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n\nPerformance:\n Mass: 202.22 kg\n Factor of Safety: 1.51\n Max Deflection: 2.09e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 202.2201822618946, "fos_buckling": 1.511807286347449, "fos_yielding": 3.2344920559484547, "deflection": 0.002090271308471686, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.003423)" }, "parent_node_id": "node_1565", "improvement_over_parent": null }, "node_1567": { "node_id": "node_1567", "content": "MODIFICATION: Increase 2 thickness by 40%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0047)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n\nPerformance:\n Mass: 204.28 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.28236860803725, "fos_buckling": 1.5361716686313454, "fos_yielding": 4.296553408237641, "deflection": 0.0020092712678197026, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.399)" }, "parent_node_id": "node_1566", "improvement_over_parent": null }, "node_1568": { "node_id": "node_1568", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1567", "improvement_over_parent": null }, "node_1569": { "node_id": "node_1569", "content": "INITIAL DESIGN (Trace 223)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0035)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0025)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0021)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0042)]\n\nPerformance:\n Mass: 152.60 kg\n Factor of Safety: 1.21\n Max Deflection: 2.63e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 152.59915351062438, "fos_buckling": 1.2149762996177047, "fos_yielding": 3.2139038863553533, "deflection": 0.0026270858797120466, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1570": { "node_id": "node_1570", "content": "MODIFICATION: Increase 7 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0035)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0025)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0021)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0042)]\n\nPerformance:\n Mass: 153.92 kg\n Factor of Safety: 1.22\n Max Deflection: 2.62e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 153.9228507544484, "fos_buckling": 1.2163203294077303, "fos_yielding": 3.2174591676945017, "deflection": 0.0026193088067286477, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.232)" }, "parent_node_id": "node_1569", "improvement_over_parent": null }, "node_1571": { "node_id": "node_1571", "content": "MODIFICATION: Increase 14 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0035)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0025)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0042)]\n\nPerformance:\n Mass: 157.11 kg\n Factor of Safety: 1.24\n Max Deflection: 2.60e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 157.10859995263615, "fos_buckling": 1.241944293064781, "fos_yielding": 3.285240700887488, "deflection": 0.0025976186891905405, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.391)" }, "parent_node_id": "node_1570", "improvement_over_parent": null }, "node_1572": { "node_id": "node_1572", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 204.06 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.05519795322425, "fos_buckling": 1.5443990524137305, "fos_yielding": 4.254903075664805, "deflection": 0.0020058935049807438, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.328)" }, "parent_node_id": "node_1571", "improvement_over_parent": null }, "node_1573": { "node_id": "node_1573", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1572", "improvement_over_parent": null }, "node_1574": { "node_id": "node_1574", "content": "INITIAL DESIGN (Trace 224)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0016)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0046)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0031)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0031)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0042)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0020)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0050)]\n\nPerformance:\n Mass: 158.43 kg\n Factor of Safety: 0.78\n Max Deflection: 3.32e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 158.43233142702982, "fos_buckling": 0.7812866840456946, "fos_yielding": 2.6919098886303146, "deflection": 3324965328570.061, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1575": { "node_id": "node_1575", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0016)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0046)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0031)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0031)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0042)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0020)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0050)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0032)]\n\nPerformance:\n Mass: 164.98 kg\n Factor of Safety: 0.88\n Max Deflection: 2.49e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 164.98256471675546, "fos_buckling": 0.8816173749557743, "fos_yielding": 3.175714856257255, "deflection": 0.002494522723045872, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.003195)" }, "parent_node_id": "node_1574", "improvement_over_parent": null }, "node_1576": { "node_id": "node_1576", "content": "MODIFICATION: Increase 5 thickness by 47%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0016)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0068)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0031)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0031)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0042)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0020)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0050)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0032)]\n\nPerformance:\n Mass: 173.10 kg\n Factor of Safety: 0.88\n Max Deflection: 2.46e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 173.1008147617253, "fos_buckling": 0.8816173749557743, "fos_yielding": 3.175714856257255, "deflection": 0.0024582324025903195, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.471)" }, "parent_node_id": "node_1575", "improvement_over_parent": null }, "node_1577": { "node_id": "node_1577", "content": "MODIFICATION: Increase 0 thickness by 43%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0016)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0068)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0031)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0031)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0042)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0020)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0050)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0032)]\n\nPerformance:\n Mass: 174.52 kg\n Factor of Safety: 0.88\n Max Deflection: 2.44e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 174.52482455509883, "fos_buckling": 0.8817033658945336, "fos_yielding": 3.1755612905990955, "deflection": 0.0024350915031510637, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.435)" }, "parent_node_id": "node_1576", "improvement_over_parent": null }, "node_1578": { "node_id": "node_1578", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0016)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0068)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0031)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0031)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0042)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0020)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0050)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0032)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n\nPerformance:\n Mass: 188.64 kg\n Factor of Safety: 1.28\n Max Deflection: 2.21e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 188.63706404963386, "fos_buckling": 1.2762622584504952, "fos_yielding": 3.8155887167808893, "deflection": 0.0022125928099819264, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.003540)" }, "parent_node_id": "node_1577", "improvement_over_parent": null }, "node_1579": { "node_id": "node_1579", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0075)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0023)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n\nPerformance:\n Mass: 208.09 kg\n Factor of Safety: 1.39\n Max Deflection: 2.01e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 208.08810914902094, "fos_buckling": 1.394096362083783, "fos_yielding": 4.2070501259100235, "deflection": 0.002007099118991437, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.114)" }, "parent_node_id": "node_1578", "improvement_over_parent": null }, "node_1580": { "node_id": "node_1580", "content": "MODIFICATION: Increase 11 thickness by 49%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0075)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0023)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0065)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n\nPerformance:\n Mass: 216.12 kg\n Factor of Safety: 1.37\n Max Deflection: 1.97e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 216.1169904745732, "fos_buckling": 1.3650314351372228, "fos_yielding": 4.221036960990535, "deflection": 0.001969764912158671, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.486)" }, "parent_node_id": "node_1579", "improvement_over_parent": null }, "node_1581": { "node_id": "node_1581", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1580", "improvement_over_parent": null }, "node_1582": { "node_id": "node_1582", "content": "INITIAL DESIGN (Trace 225)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n\nPerformance:\n Mass: 135.52 kg\n Factor of Safety: 0.77\n Max Deflection: 3.22e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 135.51994317829528, "fos_buckling": 0.7735254814463037, "fos_yielding": 2.3471348112184645, "deflection": 0.003221135045350941, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1583": { "node_id": "node_1583", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0045)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0049)]\n\nPerformance:\n Mass: 155.64 kg\n Factor of Safety: 0.87\n Max Deflection: 2.81e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 155.6431866647599, "fos_buckling": 0.8703022595622047, "fos_yielding": 2.7020001616549005, "deflection": 0.002807262066427394, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.161)" }, "parent_node_id": "node_1582", "improvement_over_parent": null }, "node_1584": { "node_id": "node_1584", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0045)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0049)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0021)]\n\nPerformance:\n Mass: 162.79 kg\n Factor of Safety: 0.87\n Max Deflection: 2.61e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 162.7914201150713, "fos_buckling": 0.8707284292281771, "fos_yielding": 2.701344112730417, "deflection": 0.0026111321949175413, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.002050)" }, "parent_node_id": "node_1583", "improvement_over_parent": null }, "node_1585": { "node_id": "node_1585", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0023)]\n\nPerformance:\n Mass: 182.54 kg\n Factor of Safety: 0.96\n Max Deflection: 2.33e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 182.54266121523085, "fos_buckling": 0.9572915323256026, "fos_yielding": 3.035662793037982, "deflection": 0.0023304690595701482, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.133)" }, "parent_node_id": "node_1584", "improvement_over_parent": null }, "node_1586": { "node_id": "node_1586", "content": "MODIFICATION: Increase 2 thickness by 55%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0023)]\n\nPerformance:\n Mass: 185.14 kg\n Factor of Safety: 0.96\n Max Deflection: 2.22e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 185.1376031400382, "fos_buckling": 0.9571214223794157, "fos_yielding": 3.502761173140838, "deflection": 0.002224450716842303, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.553)" }, "parent_node_id": "node_1585", "improvement_over_parent": null }, "node_1587": { "node_id": "node_1587", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0023)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n\nPerformance:\n Mass: 200.72 kg\n Factor of Safety: 1.54\n Max Deflection: 2.02e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 200.71893977249076, "fos_buckling": 1.5434641315940405, "fos_yielding": 4.2532284521892745, "deflection": 0.0020213608692033367, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.003945)" }, "parent_node_id": "node_1586", "improvement_over_parent": null }, "node_1588": { "node_id": "node_1588", "content": "MODIFICATION: Increase 11 thickness by 45%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0063)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0023)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n\nPerformance:\n Mass: 208.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.99e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 208.16848462122104, "fos_buckling": 1.5486584258018876, "fos_yielding": 4.260596174909205, "deflection": 0.001986352382604984, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.449)" }, "parent_node_id": "node_1587", "improvement_over_parent": null }, "node_1589": { "node_id": "node_1589", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1588", "improvement_over_parent": null }, "node_1590": { "node_id": "node_1590", "content": "INITIAL DESIGN (Trace 226)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 191.68 kg\n Factor of Safety: 1.32\n Max Deflection: 2.13e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 191.67831929520662, "fos_buckling": 1.320461535870548, "fos_yielding": 3.7710297459028146, "deflection": 0.00212802348629119, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1591": { "node_id": "node_1591", "content": "MODIFICATION: Increase 12 thickness by 58%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 198.26 kg\n Factor of Safety: 1.33\n Max Deflection: 2.08e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 198.261791162517, "fos_buckling": 1.3343314523082288, "fos_yielding": 3.7086252189071303, "deflection": 0.0020759947722540518, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.577)" }, "parent_node_id": "node_1590", "improvement_over_parent": null }, "node_1592": { "node_id": "node_1592", "content": "MODIFICATION: Increase 1 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 199.54 kg\n Factor of Safety: 1.33\n Max Deflection: 2.03e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 199.54139277249106, "fos_buckling": 1.331868113177744, "fos_yielding": 3.7414691757016905, "deflection": 0.002031958390110964, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.218)" }, "parent_node_id": "node_1591", "improvement_over_parent": null }, "node_1593": { "node_id": "node_1593", "content": "MODIFICATION: Increase 6 thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.9306306983218, "fos_buckling": 1.5436919135730527, "fos_yielding": 4.2525484709841495, "deflection": 0.0020069760686458773, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.280)" }, "parent_node_id": "node_1592", "improvement_over_parent": null }, "node_1594": { "node_id": "node_1594", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1593", "improvement_over_parent": null }, "node_1595": { "node_id": "node_1595", "content": "INITIAL DESIGN (Trace 227)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0018)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0048)]\n\nPerformance:\n Mass: 144.95 kg\n Factor of Safety: 0.74\n Max Deflection: 2.98e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 144.94899050389185, "fos_buckling": 0.7431950651399679, "fos_yielding": 1.9463040437731232, "deflection": 0.0029843207047274105, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1596": { "node_id": "node_1596", "content": "MODIFICATION: Increase 5 thickness by 49%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0027)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0048)]\n\nPerformance:\n Mass: 148.78 kg\n Factor of Safety: 0.87\n Max Deflection: 2.98e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 148.77677430217196, "fos_buckling": 0.8689813488034379, "fos_yielding": 2.8550541776340808, "deflection": 0.0029843207047274105, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.490)" }, "parent_node_id": "node_1595", "improvement_over_parent": null }, "node_1597": { "node_id": "node_1597", "content": "MODIFICATION: Increase 5 thickness by 61%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0048)]\n\nPerformance:\n Mass: 155.59 kg\n Factor of Safety: 0.87\n Max Deflection: 2.98e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 155.58892160991337, "fos_buckling": 0.8689813488034379, "fos_yielding": 2.8661370982175107, "deflection": 0.0029843207047274105, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.613)" }, "parent_node_id": "node_1596", "improvement_over_parent": null }, "node_1598": { "node_id": "node_1598", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0048)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n\nPerformance:\n Mass: 172.26 kg\n Factor of Safety: 1.13\n Max Deflection: 2.52e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 172.2579590261265, "fos_buckling": 1.1328755444240937, "fos_yielding": 3.0724848637099744, "deflection": 0.0025247600587450575, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.003764)" }, "parent_node_id": "node_1597", "improvement_over_parent": null }, "node_1599": { "node_id": "node_1599", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n\nPerformance:\n Mass: 197.39 kg\n Factor of Safety: 1.27\n Max Deflection: 2.21e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 197.38663163618529, "fos_buckling": 1.2651060145463995, "fos_yielding": 3.522946035030992, "deflection": 0.002206532301028037, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.160)" }, "parent_node_id": "node_1598", "improvement_over_parent": null }, "node_1600": { "node_id": "node_1600", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n\nPerformance:\n Mass: 200.20 kg\n Factor of Safety: 1.50\n Max Deflection: 2.07e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 200.20086352530532, "fos_buckling": 1.4958796765854556, "fos_yielding": 3.542710151607715, "deflection": 0.0020658293418974434, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.002221)" }, "parent_node_id": "node_1599", "improvement_over_parent": null }, "node_1601": { "node_id": "node_1601", "content": "MODIFICATION: Increase 7 thickness by 34%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0054)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n\nPerformance:\n Mass: 204.20 kg\n Factor of Safety: 1.53\n Max Deflection: 2.04e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.2003786022206, "fos_buckling": 1.5325892183885512, "fos_yielding": 3.59731988331863, "deflection": 0.002035415565387652, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.342)" }, "parent_node_id": "node_1600", "improvement_over_parent": null }, "node_1602": { "node_id": "node_1602", "content": "MODIFICATION: Increase 2 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0054)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n\nPerformance:\n Mass: 205.57 kg\n Factor of Safety: 1.54\n Max Deflection: 1.99e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 205.5691299175067, "fos_buckling": 1.5366268978216002, "fos_yielding": 4.309629899219382, "deflection": 0.0019871620979580885, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.236)" }, "parent_node_id": "node_1601", "improvement_over_parent": null }, "node_1603": { "node_id": "node_1603", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1602", "improvement_over_parent": null }, "node_1604": { "node_id": "node_1604", "content": "INITIAL DESIGN (Trace 228)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0025)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 191.73 kg\n Factor of Safety: 1.38\n Max Deflection: 2.16e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 191.7307921278877, "fos_buckling": 1.3752942293012203, "fos_yielding": 2.9910204325498224, "deflection": 0.002164386482345105, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1605": { "node_id": "node_1605", "content": "MODIFICATION: Increase 12 thickness by 34%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0025)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 196.25 kg\n Factor of Safety: 1.53\n Max Deflection: 2.13e-03 m\n Status: FEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 196.2498158336178, "fos_buckling": 1.5323878077511108, "fos_yielding": 2.9995489401720135, "deflection": 0.002129704688539486, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.340)" }, "parent_node_id": "node_1604", "improvement_over_parent": null }, "node_1606": { "node_id": "node_1606", "content": "MODIFICATION: Increase 2 thickness by 45%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0025)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 198.49 kg\n Factor of Safety: 1.50\n Max Deflection: 2.03e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 198.4896674113495, "fos_buckling": 1.498865408619857, "fos_yielding": 4.129418918602371, "deflection": 0.0020306747329572874, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.447)" }, "parent_node_id": "node_1605", "improvement_over_parent": null }, "node_1607": { "node_id": "node_1607", "content": "MODIFICATION: Increase 14 thickness by 60%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.94 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.9364295643926, "fos_buckling": 1.543679844969048, "fos_yielding": 4.252884027759337, "deflection": 0.002006945757406155, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.597)" }, "parent_node_id": "node_1606", "improvement_over_parent": null }, "node_1608": { "node_id": "node_1608", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1607", "improvement_over_parent": null }, "node_1609": { "node_id": "node_1609", "content": "INITIAL DESIGN (Trace 229)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0030)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0021)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0023)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0025)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0036)]\n\nPerformance:\n Mass: 119.16 kg\n Factor of Safety: 0.58\n Max Deflection: 3.60e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 119.16168989530529, "fos_buckling": 0.5774174107708716, "fos_yielding": 2.0766919369249677, "deflection": 0.003604570123683978, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1610": { "node_id": "node_1610", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0038)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0045)]\n\nPerformance:\n Mass: 149.34 kg\n Factor of Safety: 0.71\n Max Deflection: 2.88e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 149.34394556827124, "fos_buckling": 0.7076317230583429, "fos_yielding": 2.6088555211578024, "deflection": 0.002878960493043245, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.272)" }, "parent_node_id": "node_1609", "improvement_over_parent": null }, "node_1611": { "node_id": "node_1611", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0038)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0045)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n\nPerformance:\n Mass: 162.15 kg\n Factor of Safety: 1.24\n Max Deflection: 2.59e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 162.15135584483966, "fos_buckling": 1.242697878090177, "fos_yielding": 2.5011319754013863, "deflection": 0.0025873487148655363, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.003187)" }, "parent_node_id": "node_1610", "improvement_over_parent": null }, "node_1612": { "node_id": "node_1612", "content": "MODIFICATION: Increase 7 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0038)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0045)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n\nPerformance:\n Mass: 163.39 kg\n Factor of Safety: 1.22\n Max Deflection: 2.58e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 163.39210629556194, "fos_buckling": 1.2180597345914617, "fos_yielding": 2.503667416235891, "deflection": 0.00258148388069271, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.200)" }, "parent_node_id": "node_1611", "improvement_over_parent": null }, "node_1613": { "node_id": "node_1613", "content": "MODIFICATION: Increase 2 thickness by 47%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0038)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0045)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n\nPerformance:\n Mass: 165.32 kg\n Factor of Safety: 1.23\n Max Deflection: 2.46e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 165.31957689315374, "fos_buckling": 1.23234453209456, "fos_yielding": 3.495788616669878, "deflection": 0.0024606258156243867, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.468)" }, "parent_node_id": "node_1612", "improvement_over_parent": null }, "node_1614": { "node_id": "node_1614", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n\nPerformance:\n Mass: 201.20 kg\n Factor of Safety: 1.46\n Max Deflection: 2.03e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 201.19697796308398, "fos_buckling": 1.4631950641992035, "fos_yielding": 4.244560421431751, "deflection": 0.002026400943263509, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.238)" }, "parent_node_id": "node_1613", "improvement_over_parent": null }, "node_1615": { "node_id": "node_1615", "content": "MODIFICATION: Increase 12 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n\nPerformance:\n Mass: 203.95 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.950685789839, "fos_buckling": 1.5438208447005106, "fos_yielding": 4.252873794042406, "deflection": 0.002006798329310572, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.185)" }, "parent_node_id": "node_1614", "improvement_over_parent": null }, "node_1616": { "node_id": "node_1616", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1615", "improvement_over_parent": null }, "node_1617": { "node_id": "node_1617", "content": "INITIAL DESIGN (Trace 230)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, 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_1618": { "node_id": "node_1618", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M12: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n\nPerformance:\n Mass: 150.11 kg\n Factor of Safety: 0.13\n Max Deflection: 1.87e+13 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 150.1095436565582, "fos_buckling": 0.12721003333938727, "fos_yielding": 0.48514090791235287, "deflection": 18700017780154.7, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.002221)" }, "parent_node_id": "node_1617", "improvement_over_parent": null }, "node_1619": { "node_id": "node_1619", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M12: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n\nPerformance:\n Mass: 161.43 kg\n Factor of Safety: 0.21\n Max Deflection: 2.25e+13 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 161.43418565866506, "fos_buckling": 0.2120140768215817, "fos_yielding": 0.9706898849788559, "deflection": 22482115220048.76, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.003363)" }, "parent_node_id": "node_1618", "improvement_over_parent": null }, "node_1620": { "node_id": "node_1620", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M12: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n\nPerformance:\n Mass: 165.27 kg\n Factor of Safety: 0.32\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": 165.26659442538383, "fos_buckling": 0.3170567680145953, "fos_yielding": 1.7395123552096527, "deflection": 0.00614002486975351, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002592)" }, "parent_node_id": "node_1619", "improvement_over_parent": null }, "node_1621": { "node_id": "node_1621", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M12: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n\nPerformance:\n Mass: 196.58 kg\n Factor of Safety: 1.36\n Max Deflection: 2.07e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 196.57614477031265, "fos_buckling": 1.3642104318195527, "fos_yielding": 4.155256802926739, "deflection": 0.0020673908215826362, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.005592)" }, "parent_node_id": "node_1620", "improvement_over_parent": null }, "node_1622": { "node_id": "node_1622", "content": "MODIFICATION: Increase 13 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M12: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0042)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n\nPerformance:\n Mass: 199.07 kg\n Factor of Safety: 1.37\n Max Deflection: 2.06e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 199.0660176233606, "fos_buckling": 1.3690968111689297, "fos_yielding": 4.156495066126121, "deflection": 0.0020585327875392795, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.248)" }, "parent_node_id": "node_1621", "improvement_over_parent": null }, "node_1623": { "node_id": "node_1623", "content": "MODIFICATION: Increase 8 thickness by 56%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0073)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M12: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0042)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n\nPerformance:\n Mass: 209.70 kg\n Factor of Safety: 1.35\n Max Deflection: 2.01e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 209.6999740671926, "fos_buckling": 1.3529640105809713, "fos_yielding": 4.149996631915653, "deflection": 0.002013482203956708, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.558)" }, "parent_node_id": "node_1622", "improvement_over_parent": null }, "node_1624": { "node_id": "node_1624", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1623", "improvement_over_parent": null }, "node_1625": { "node_id": "node_1625", "content": "INITIAL DESIGN (Trace 231)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0020)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0032)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0029)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0041)]\n\nPerformance:\n Mass: 119.90 kg\n Factor of Safety: 0.27\n Max Deflection: 4.13e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 119.89640127970276, "fos_buckling": 0.26889641702587325, "fos_yielding": 1.9168669466657149, "deflection": 0.004128018233304575, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1626": { "node_id": "node_1626", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0032)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0045)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0024)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0050)]\n\nPerformance:\n Mass: 142.72 kg\n Factor of Safety: 0.31\n Max Deflection: 3.47e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 142.71511745664256, "fos_buckling": 0.31128322193123914, "fos_yielding": 2.275125319770006, "deflection": 0.003473233837783566, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.206)" }, "parent_node_id": "node_1625", "improvement_over_parent": null }, "node_1627": { "node_id": "node_1627", "content": "MODIFICATION: Increase 10 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0032)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0045)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0050)]\n\nPerformance:\n Mass: 144.51 kg\n Factor of Safety: 0.31\n Max Deflection: 3.23e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 144.5083464957633, "fos_buckling": 0.3112078125910161, "fos_yielding": 2.2745741635007275, "deflection": 0.0032260922672572414, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.233)" }, "parent_node_id": "node_1626", "improvement_over_parent": null }, "node_1628": { "node_id": "node_1628", "content": "MODIFICATION: Increase 8 thickness by 61%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0032)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0045)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0050)]\n\nPerformance:\n Mass: 148.78 kg\n Factor of Safety: 0.31\n Max Deflection: 3.21e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 148.78195279023444, "fos_buckling": 0.31102824497987325, "fos_yielding": 2.273261729068229, "deflection": 0.003206642284350303, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.605)" }, "parent_node_id": "node_1627", "improvement_over_parent": null }, "node_1629": { "node_id": "node_1629", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0032)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0045)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0050)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0042)]\n\nPerformance:\n Mass: 168.66 kg\n Factor of Safety: 0.87\n Max Deflection: 2.46e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 168.66129813026816, "fos_buckling": 0.8732671860355379, "fos_yielding": 3.138643400636297, "deflection": 0.002455159335313059, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.004173)" }, "parent_node_id": "node_1628", "improvement_over_parent": null }, "node_1630": { "node_id": "node_1630", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0032)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0045)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0050)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0042)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n\nPerformance:\n Mass: 182.61 kg\n Factor of Safety: 1.41\n Max Deflection: 2.24e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 182.6121336479754, "fos_buckling": 1.4101349358020039, "fos_yielding": 3.8127222263336757, "deflection": 0.002238363765763974, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.003496)" }, "parent_node_id": "node_1629", "improvement_over_parent": null }, "node_1631": { "node_id": "node_1631", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n\nPerformance:\n Mass: 204.05 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.04816137325938, "fos_buckling": 1.5443624733451282, "fos_yielding": 4.254800025878576, "deflection": 0.0020059116159195584, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.129)" }, "parent_node_id": "node_1630", "improvement_over_parent": null }, "node_1632": { "node_id": "node_1632", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1631", "improvement_over_parent": null }, "node_1633": { "node_id": "node_1633", "content": "INITIAL DESIGN (Trace 232)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0019)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0027)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0019)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0025)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0022)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0024)]\n\nPerformance:\n Mass: 101.07 kg\n Factor of Safety: 0.22\n Max Deflection: 5.09e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 101.06863814891595, "fos_buckling": 0.21736393784407093, "fos_yielding": 1.5066778817266093, "deflection": 0.005090171944971509, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1634": { "node_id": "node_1634", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0031)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0022)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0026)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0028)]\n\nPerformance:\n Mass: 116.44 kg\n Factor of Safety: 0.25\n Max Deflection: 4.42e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 116.43748614492398, "fos_buckling": 0.24634976442403658, "fos_yielding": 1.7335564317108383, "deflection": 0.0044215607096940775, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.161)" }, "parent_node_id": "node_1633", "improvement_over_parent": null }, "node_1635": { "node_id": "node_1635", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0031)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0022)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0026)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0028)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n\nPerformance:\n Mass: 122.97 kg\n Factor of Safety: 0.69\n Max Deflection: 3.44e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 122.9671583980033, "fos_buckling": 0.6863413608537196, "fos_yielding": 2.380069326598385, "deflection": 0.0034364719513658042, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.002248)" }, "parent_node_id": "node_1634", "improvement_over_parent": null }, "node_1636": { "node_id": "node_1636", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0037)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n\nPerformance:\n Mass: 157.06 kg\n Factor of Safety: 0.85\n Max Deflection: 2.69e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 157.05778902349823, "fos_buckling": 0.8479816987615488, "fos_yielding": 3.0320004266763596, "deflection": 0.002694545234756375, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.299)" }, "parent_node_id": "node_1635", "improvement_over_parent": null }, "node_1637": { "node_id": "node_1637", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0037)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n\nPerformance:\n Mass: 170.52 kg\n Factor of Safety: 1.16\n Max Deflection: 2.48e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 170.51860143326874, "fos_buckling": 1.158449475018185, "fos_yielding": 3.755536721211415, "deflection": 0.002481750190861424, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.003363)" }, "parent_node_id": "node_1636", "improvement_over_parent": null }, "node_1638": { "node_id": "node_1638", "content": "MODIFICATION: Increase 15 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0037)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0043)]\n\nPerformance:\n Mass: 174.06 kg\n Factor of Safety: 1.16\n Max Deflection: 2.47e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 174.0607604987142, "fos_buckling": 1.1552742499052508, "fos_yielding": 3.815498574166613, "deflection": 0.002468011015405731, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(15, thickness, 1.292)" }, "parent_node_id": "node_1637", "improvement_over_parent": null }, "node_1639": { "node_id": "node_1639", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0051)]\n\nPerformance:\n Mass: 201.62 kg\n Factor of Safety: 1.31\n Max Deflection: 2.13e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 201.62091213705077, "fos_buckling": 1.314392149460951, "fos_yielding": 4.410051231881685, "deflection": 0.0021324390431202013, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.174)" }, "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "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 233)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0013)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0015)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0011)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0009)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0015)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0011)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0021)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0017)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0014)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0019)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0014)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0018)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0016)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0023)]\n\nPerformance:\n Mass: 76.56 kg\n Factor of Safety: 0.16\n Max Deflection: 6.77e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 76.55507233760133, "fos_buckling": 0.16469336651869435, "fos_yielding": 1.112745528947212, "deflection": 0.006765079430531455, "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: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0017)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0020)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0012)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0014)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0022)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0019)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0026)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0018)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0024)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0021)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0031)]\n\nPerformance:\n Mass: 100.49 kg\n Factor of Safety: 0.21\n Max Deflection: 5.16e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 100.49194402009526, "fos_buckling": 0.21103829408395264, "fos_yielding": 1.4581961645679895, "deflection": 0.005159338977756312, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.328)" }, "parent_node_id": "node_1641", "improvement_over_parent": null }, "node_1643": { "node_id": "node_1643", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0017)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0020)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0012)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0014)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0022)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0019)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0026)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0018)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0024)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0021)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0031)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0019)]\n\nPerformance:\n Mass: 105.98 kg\n Factor of Safety: 0.59\n Max Deflection: 3.99e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 105.97932736678833, "fos_buckling": 0.5873115607800046, "fos_yielding": 1.8887931449818984, "deflection": 0.0039874537832607, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.001871)" }, "parent_node_id": "node_1642", "improvement_over_parent": null }, "node_1644": { "node_id": "node_1644", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0030)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0021)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0025)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0036)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n\nPerformance:\n Mass: 122.40 kg\n Factor of Safety: 0.67\n Max Deflection: 3.46e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 122.40319031348653, "fos_buckling": 0.6681917491772976, "fos_yielding": 2.183763018664175, "deflection": 0.0034550009894674123, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.164)" }, "parent_node_id": "node_1643", "improvement_over_parent": null }, "node_1645": { "node_id": "node_1645", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0025)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0042)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n\nPerformance:\n Mass: 144.12 kg\n Factor of Safety: 0.77\n Max Deflection: 2.94e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 144.12444897234883, "fos_buckling": 0.7709886285663876, "fos_yielding": 2.5750608113826248, "deflection": 0.002937157502966874, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.190)" }, "parent_node_id": "node_1644", "improvement_over_parent": null }, "node_1646": { "node_id": "node_1646", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n\nPerformance:\n Mass: 186.05 kg\n Factor of Safety: 0.96\n Max Deflection: 2.28e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 186.05405831982748, "fos_buckling": 0.9560023214583963, "fos_yielding": 3.3348018749085093, "deflection": 0.0022794388187850705, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.319)" }, "parent_node_id": "node_1645", "improvement_over_parent": null }, "node_1647": { "node_id": "node_1647", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n\nPerformance:\n Mass: 201.64 kg\n Factor of Safety: 1.57\n Max Deflection: 2.09e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 201.63539495228002, "fos_buckling": 1.5746428087483273, "fos_yielding": 3.2070148970682353, "deflection": 0.0020909998424079044, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.003945)" }, "parent_node_id": "node_1646", "improvement_over_parent": null }, "node_1648": { "node_id": "node_1648", "content": "MODIFICATION: Increase 2 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n\nPerformance:\n Mass: 203.66 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.65819626079707, "fos_buckling": 1.5417506382972521, "fos_yielding": 4.247928846549031, "deflection": 0.0020097646438749306, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.389)" }, "parent_node_id": "node_1647", "improvement_over_parent": null }, "node_1649": { "node_id": "node_1649", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1648", "improvement_over_parent": null }, "node_1650": { "node_id": "node_1650", "content": "INITIAL DESIGN (Trace 234)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0015)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0028)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0016)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0033)]\n\nPerformance:\n Mass: 100.51 kg\n Factor of Safety: 0.74\n Max Deflection: 4.27e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 100.5106449112559, "fos_buckling": 0.7406869159567422, "fos_yielding": 2.0047664138788712, "deflection": 0.004271524135566215, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1651": { "node_id": "node_1651", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0033)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0019)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0039)]\n\nPerformance:\n Mass: 117.62 kg\n Factor of Safety: 0.85\n Max Deflection: 3.65e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 117.62337453215605, "fos_buckling": 0.850664354821542, "fos_yielding": 2.3432556957780726, "deflection": 0.003653748607759374, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.181)" }, "parent_node_id": "node_1650", "improvement_over_parent": null }, "node_1652": { "node_id": "node_1652", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0033)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0019)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0027)]\n\nPerformance:\n Mass: 128.62 kg\n Factor of Safety: 0.74\n Max Deflection: 3.52e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 128.61787749792455, "fos_buckling": 0.7420245907193078, "fos_yielding": 2.3415017316451605, "deflection": 0.0035238809611085127, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.002719)" }, "parent_node_id": "node_1651", "improvement_over_parent": null }, "node_1653": { "node_id": "node_1653", "content": "MODIFICATION: Increase 7 thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0033)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0019)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0027)]\n\nPerformance:\n Mass: 130.24 kg\n Factor of Safety: 0.74\n Max Deflection: 3.52e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 130.24339311866973, "fos_buckling": 0.7421085643791967, "fos_yielding": 2.341242634279474, "deflection": 0.0035215062067837175, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.330)" }, "parent_node_id": "node_1652", "improvement_over_parent": null }, "node_1654": { "node_id": "node_1654", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0022)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n\nPerformance:\n Mass: 148.06 kg\n Factor of Safety: 0.83\n Max Deflection: 3.10e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 148.05702627256304, "fos_buckling": 0.8298324305944639, "fos_yielding": 2.658408229834147, "deflection": 0.003100581427255008, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.147)" }, "parent_node_id": "node_1653", "improvement_over_parent": null }, "node_1655": { "node_id": "node_1655", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 183.01 kg\n Factor of Safety: 0.99\n Max Deflection: 2.51e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 183.01439250153032, "fos_buckling": 0.9923119724503343, "fos_yielding": 3.278670711900174, "deflection": 0.0025127600248423675, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.259)" }, "parent_node_id": "node_1654", "improvement_over_parent": null }, "node_1656": { "node_id": "node_1656", "content": "MODIFICATION: Increase 11 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 184.82 kg\n Factor of Safety: 0.99\n Max Deflection: 2.51e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 184.81844331606473, "fos_buckling": 0.9923743730922472, "fos_yielding": 3.278470032693969, "deflection": 0.0025103141622566565, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.208)" }, "parent_node_id": "node_1655", "improvement_over_parent": null }, "node_1657": { "node_id": "node_1657", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n\nPerformance:\n Mass: 203.92 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.92216263885814, "fos_buckling": 1.5435327613905416, "fos_yielding": 4.25201979585707, "deflection": 0.0020071658582316272, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.004368)" }, "parent_node_id": "node_1656", "improvement_over_parent": null }, "node_1658": { "node_id": "node_1658", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1657", "improvement_over_parent": null }, "node_1659": { "node_id": "node_1659", "content": "INITIAL DESIGN (Trace 235)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0035)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0025)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0029)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0042)]\n\nPerformance:\n Mass: 122.35 kg\n Factor of Safety: 0.13\n Max Deflection: 4.56e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 122.34627160186595, "fos_buckling": 0.12556973049719822, "fos_yielding": 0.8973032962101049, "deflection": 4557249206832.862, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1660": { "node_id": "node_1660", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0032)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0046)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0031)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0042)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0035)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0050)]\n\nPerformance:\n Mass: 144.75 kg\n Factor of Safety: 0.74\n Max Deflection: 2.02e+12 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 144.7485286052475, "fos_buckling": 0.73511956974317, "fos_yielding": 1.3856886428523818, "deflection": 2019205104384.2644, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.199)" }, "parent_node_id": "node_1659", "improvement_over_parent": null }, "node_1661": { "node_id": "node_1661", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0032)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0046)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0031)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0042)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0035)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0050)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n\nPerformance:\n Mass: 158.88 kg\n Factor of Safety: 0.91\n Max Deflection: 2.81e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 158.87542371108583, "fos_buckling": 0.9142141719559963, "fos_yielding": 2.9783701644487275, "deflection": 0.002807945760986216, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.003544)" }, "parent_node_id": "node_1660", "improvement_over_parent": null }, "node_1662": { "node_id": "node_1662", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n\nPerformance:\n Mass: 175.35 kg\n Factor of Safety: 0.99\n Max Deflection: 2.55e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 175.35404319738385, "fos_buckling": 0.9925658354192275, "fos_yielding": 3.2841026094511117, "deflection": 0.002545954374299651, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.114)" }, "parent_node_id": "node_1661", "improvement_over_parent": null }, "node_1663": { "node_id": "node_1663", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n\nPerformance:\n Mass: 194.46 kg\n Factor of Safety: 0.88\n Max Deflection: 2.10e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 194.45776252017725, "fos_buckling": 0.8844103512693325, "fos_yielding": 4.0425616395059425, "deflection": 0.0020989199406760478, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.004368)" }, "parent_node_id": "node_1662", "improvement_over_parent": null }, "node_1664": { "node_id": "node_1664", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n\nPerformance:\n Mass: 204.10 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.09952744246027, "fos_buckling": 1.5448646850361414, "fos_yielding": 4.2565125048495, "deflection": 0.0020052412501527094, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.003423)" }, "parent_node_id": "node_1663", "improvement_over_parent": null }, "node_1665": { "node_id": "node_1665", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1664", "improvement_over_parent": null }, "node_1666": { "node_id": "node_1666", "content": "INITIAL DESIGN (Trace 236)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0032)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0030)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0021)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0018)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0025)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0035)]\n\nPerformance:\n Mass: 120.34 kg\n Factor of Safety: 0.71\n Max Deflection: 3.46e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 120.3374998512714, "fos_buckling": 0.7108710963674475, "fos_yielding": 2.3004546830903503, "deflection": 0.003462141154774772, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1667": { "node_id": "node_1667", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0038)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0035)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0025)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0021)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0029)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0041)]\n\nPerformance:\n Mass: 138.83 kg\n Factor of Safety: 0.80\n Max Deflection: 3.00e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 138.82646296670788, "fos_buckling": 0.803959723635026, "fos_yielding": 2.650268875711375, "deflection": 0.0030047252448918093, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.164)" }, "parent_node_id": "node_1666", "improvement_over_parent": null }, "node_1668": { "node_id": "node_1668", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0038)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0035)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0025)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0021)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0029)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0041)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0019)]\n\nPerformance:\n Mass: 141.72 kg\n Factor of Safety: 0.75\n Max Deflection: 2.81e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 141.7166435493626, "fos_buckling": 0.7460238329200661, "fos_yielding": 3.0145280458516934, "deflection": 0.002814928344549746, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.001909)" }, "parent_node_id": "node_1667", "improvement_over_parent": null }, "node_1669": { "node_id": "node_1669", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0032)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0045)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0042)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0025)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0050)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n\nPerformance:\n Mass: 168.54 kg\n Factor of Safety: 0.86\n Max Deflection: 2.37e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 168.536606665613, "fos_buckling": 0.8620295592032727, "fos_yielding": 3.5770512647847683, "deflection": 0.002371006518350049, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.205)" }, "parent_node_id": "node_1668", "improvement_over_parent": null }, "node_1670": { "node_id": "node_1670", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0032)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0045)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0042)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0025)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0050)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n\nPerformance:\n Mass: 177.18 kg\n Factor of Safety: 1.16\n Max Deflection: 2.30e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 177.1814175867692, "fos_buckling": 1.1586324853264285, "fos_yielding": 3.7951802111103046, "deflection": 0.002295476824227611, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.003038)" }, "parent_node_id": "node_1669", "improvement_over_parent": null }, "node_1671": { "node_id": "node_1671", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n\nPerformance:\n Mass: 197.71 kg\n Factor of Safety: 1.28\n Max Deflection: 2.06e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 197.70685422667012, "fos_buckling": 1.280149158750697, "fos_yielding": 4.228977811954694, "deflection": 0.002059635729755275, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.127)" }, "parent_node_id": "node_1670", "improvement_over_parent": null }, "node_1672": { "node_id": "node_1672", "content": "MODIFICATION: Increase 12 thickness by 52%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0060)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n\nPerformance:\n Mass: 204.68 kg\n Factor of Safety: 1.27\n Max Deflection: 2.04e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 204.6799721438926, "fos_buckling": 1.2680153737222728, "fos_yielding": 4.319358968869469, "deflection": 0.002043580299771711, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.524)" }, "parent_node_id": "node_1671", "improvement_over_parent": null }, "node_1673": { "node_id": "node_1673", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1672", "improvement_over_parent": null }, "node_1674": { "node_id": "node_1674", "content": "INITIAL DESIGN (Trace 237)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0042)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0018)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0046)]\n\nPerformance:\n Mass: 166.20 kg\n Factor of Safety: 1.18\n Max Deflection: 2.42e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 166.20244407977393, "fos_buckling": 1.1807223620305285, "fos_yielding": 3.5141934704080673, "deflection": 0.0024193472951321887, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1675": { "node_id": "node_1675", "content": "MODIFICATION: Increase 9 thickness by 54%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0042)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0046)]\n\nPerformance:\n Mass: 168.87 kg\n Factor of Safety: 1.32\n Max Deflection: 2.40e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 168.874530959113, "fos_buckling": 1.3230975863603194, "fos_yielding": 3.5909358902032262, "deflection": 0.002398296966059321, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.536)" }, "parent_node_id": "node_1674", "improvement_over_parent": null }, "node_1676": { "node_id": "node_1676", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 201.05 kg\n Factor of Safety: 1.53\n Max Deflection: 2.02e-03 m\n Status: FEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 201.0517476254088, "fos_buckling": 1.5320639540016845, "fos_yielding": 4.265827948719221, "deflection": 0.0020187164331308544, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.209)" }, "parent_node_id": "node_1675", "improvement_over_parent": null }, "node_1677": { "node_id": "node_1677", "content": "MODIFICATION: Increase 13 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 204.02 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.017917781405, "fos_buckling": 1.5441756526038992, "fos_yielding": 4.254186185395991, "deflection": 0.002006186922338513, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.258)" }, "parent_node_id": "node_1676", "improvement_over_parent": null }, "node_1678": { "node_id": "node_1678", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1677", "improvement_over_parent": null }, "node_1679": { "node_id": "node_1679", "content": "INITIAL DESIGN (Trace 238)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0011)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0010)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0031)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0016)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0029)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0020)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0024)]\n\nPerformance:\n Mass: 99.50 kg\n Factor of Safety: 0.17\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": 99.50030263055848, "fos_buckling": 0.17309954290795337, "fos_yielding": 1.0426626971108184, "deflection": 0.009987904240333283, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1680": { "node_id": "node_1680", "content": "MODIFICATION: Increase 0 thickness by 66%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0010)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0031)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0016)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0029)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0020)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0024)]\n\nPerformance:\n Mass: 100.83 kg\n Factor of Safety: 0.17\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": 100.8319883006875, "fos_buckling": 0.17309169949220019, "fos_yielding": 1.0426154524047586, "deflection": 0.009966073498941807, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.661)" }, "parent_node_id": "node_1679", "improvement_over_parent": null }, "node_1681": { "node_id": "node_1681", "content": "MODIFICATION: Increase 8 thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0010)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0031)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0029)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0020)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0024)]\n\nPerformance:\n Mass: 102.08 kg\n Factor of Safety: 0.21\n Max Deflection: 9.46e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 102.08372608342876, "fos_buckling": 0.21375952217483035, "fos_yielding": 1.0983049135724396, "deflection": 0.00946236056254202, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.277)" }, "parent_node_id": "node_1680", "improvement_over_parent": null }, "node_1682": { "node_id": "node_1682", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0010)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0031)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0029)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0020)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0024)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0034)]\n\nPerformance:\n Mass: 121.78 kg\n Factor of Safety: 0.47\n Max Deflection: 3.35e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 121.78224138833781, "fos_buckling": 0.4659833797240919, "fos_yielding": 2.5358556207040017, "deflection": 0.0033490654024234162, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.003397)" }, "parent_node_id": "node_1681", "improvement_over_parent": null }, "node_1683": { "node_id": "node_1683", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0012)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0042)]\n\nPerformance:\n Mass: 149.98 kg\n Factor of Safety: 0.56\n Max Deflection: 2.72e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 149.98029148016616, "fos_buckling": 0.563890493024059, "fos_yielding": 3.115972995135044, "deflection": 0.002723917895507681, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.248)" }, "parent_node_id": "node_1682", "improvement_over_parent": null }, "node_1684": { "node_id": "node_1684", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n\nPerformance:\n Mass: 193.45 kg\n Factor of Safety: 0.71\n Max Deflection: 2.12e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 193.4474217257181, "fos_buckling": 0.7074628582378729, "fos_yielding": 4.00514091097232, "deflection": 0.0021172434419402843, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.318)" }, "parent_node_id": "node_1683", "improvement_over_parent": null }, "node_1685": { "node_id": "node_1685", "content": "MODIFICATION: Increase 3 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n\nPerformance:\n Mass: 194.18 kg\n Factor of Safety: 0.88\n Max Deflection: 2.10e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 194.1775345210315, "fos_buckling": 0.8828510317772651, "fos_yielding": 4.036617612911353, "deflection": 0.002102054449629989, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.385)" }, "parent_node_id": "node_1684", "improvement_over_parent": null }, "node_1686": { "node_id": "node_1686", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n\nPerformance:\n Mass: 203.82 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.81929944331452, "fos_buckling": 1.5429596396324734, "fos_yielding": 4.250274411049654, "deflection": 0.002008127230258535, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.003423)" }, "parent_node_id": "node_1685", "improvement_over_parent": null }, "node_1687": { "node_id": "node_1687", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1686", "improvement_over_parent": null }, "node_1688": { "node_id": "node_1688", "content": "INITIAL DESIGN (Trace 239)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0012)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0028)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0020)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0019)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0023)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0033)]\n\nPerformance:\n Mass: 120.09 kg\n Factor of Safety: 0.87\n Max Deflection: 3.39e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 120.09240004429877, "fos_buckling": 0.8706313151504886, "fos_yielding": 2.5882261269212163, "deflection": 0.0033943340487002254, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1689": { "node_id": "node_1689", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0015)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0035)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0025)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0024)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0029)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0041)]\n\nPerformance:\n Mass: 148.79 kg\n Factor of Safety: 1.06\n Max Deflection: 2.74e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 148.79433742826345, "fos_buckling": 1.0609321445653181, "fos_yielding": 3.2004170647917745, "deflection": 0.002744154611276526, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.255)" }, "parent_node_id": "node_1688", "improvement_over_parent": null }, "node_1690": { "node_id": "node_1690", "content": "MODIFICATION: Increase 0 thickness by 54%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0035)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0025)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0024)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0029)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0041)]\n\nPerformance:\n Mass: 150.19 kg\n Factor of Safety: 1.07\n Max Deflection: 2.70e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 150.1884443224887, "fos_buckling": 1.0727158024122094, "fos_yielding": 3.198444066438945, "deflection": 0.0027033491463330805, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.543)" }, "parent_node_id": "node_1689", "improvement_over_parent": null }, "node_1691": { "node_id": "node_1691", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0032)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0046)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0031)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0042)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0035)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0050)]\n\nPerformance:\n Mass: 180.38 kg\n Factor of Safety: 1.27\n Max Deflection: 2.26e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 180.37678905948167, "fos_buckling": 1.2656862285738548, "fos_yielding": 3.833680314018436, "deflection": 0.0022550850843803066, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.218)" }, "parent_node_id": "node_1690", "improvement_over_parent": null }, "node_1692": { "node_id": "node_1692", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 199.62 kg\n Factor of Safety: 1.38\n Max Deflection: 2.04e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 199.6169169604348, "fos_buckling": 1.3846272430412416, "fos_yielding": 4.237185885659598, "deflection": 0.0020401375904420195, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.117)" }, "parent_node_id": "node_1691", "improvement_over_parent": null }, "node_1693": { "node_id": "node_1693", "content": "MODIFICATION: Increase 12 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.87 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.86542705071292, "fos_buckling": 1.5432424087240861, "fos_yielding": 4.251028779881936, "deflection": 0.00200765909042297, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.314)" }, "parent_node_id": "node_1692", "improvement_over_parent": null }, "node_1694": { "node_id": "node_1694", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1693", "improvement_over_parent": null }, "node_1695": { "node_id": "node_1695", "content": "INITIAL DESIGN (Trace 240)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 157.05 kg\n Factor of Safety: 0.32\n Max Deflection: 5.70e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 157.04695671458703, "fos_buckling": 0.31727350622322764, "fos_yielding": 1.7404227140875639, "deflection": 0.005699000403639307, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1696": { "node_id": "node_1696", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0044)]\n\nPerformance:\n Mass: 182.05 kg\n Factor of Safety: 0.96\n Max Deflection: 2.32e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 182.05376256141318, "fos_buckling": 0.9574599184334421, "fos_yielding": 3.502583982836928, "deflection": 0.002324044919579056, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.004380)" }, "parent_node_id": "node_1695", "improvement_over_parent": null }, "node_1697": { "node_id": "node_1697", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0044)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n\nPerformance:\n Mass: 197.64 kg\n Factor of Safety: 1.33\n Max Deflection: 2.14e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 197.63509919386573, "fos_buckling": 1.3263882194892298, "fos_yielding": 4.33842685991994, "deflection": 0.0021396851075822934, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.003945)" }, "parent_node_id": "node_1696", "improvement_over_parent": null }, "node_1698": { "node_id": "node_1698", "content": "MODIFICATION: Increase 15 thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0044)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0050)]\n\nPerformance:\n Mass: 201.45 kg\n Factor of Safety: 1.32\n Max Deflection: 2.13e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 201.4500082785892, "fos_buckling": 1.322916310172088, "fos_yielding": 4.40258607234781, "deflection": 0.002128553599370415, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(15, thickness, 1.277)" }, "parent_node_id": "node_1697", "improvement_over_parent": null }, "node_1699": { "node_id": "node_1699", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1698", "improvement_over_parent": null }, "node_1700": { "node_id": "node_1700", "content": "INITIAL DESIGN (Trace 241)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0017)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0011)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0031)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0022)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0026)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0036)]\n\nPerformance:\n Mass: 130.65 kg\n Factor of Safety: 0.73\n Max Deflection: 3.22e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 130.64812762537068, "fos_buckling": 0.726629440031213, "fos_yielding": 1.8745788425680698, "deflection": 0.003218138282639705, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1701": { "node_id": "node_1701", "content": "MODIFICATION: Increase 7 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0011)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0031)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0022)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0026)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0036)]\n\nPerformance:\n Mass: 132.14 kg\n Factor of Safety: 0.72\n Max Deflection: 3.21e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 132.13691916932441, "fos_buckling": 0.7213673048296849, "fos_yielding": 1.8771119461908272, "deflection": 0.003205953408956922, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.316)" }, "parent_node_id": "node_1700", "improvement_over_parent": null }, "node_1702": { "node_id": "node_1702", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0013)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n\nPerformance:\n Mass: 152.88 kg\n Factor of Safety: 0.83\n Max Deflection: 2.77e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 152.88096563422124, "fos_buckling": 0.8283510857549947, "fos_yielding": 2.176309325937122, "deflection": 0.0027732329201328562, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.168)" }, "parent_node_id": "node_1701", "improvement_over_parent": null }, "node_1703": { "node_id": "node_1703", "content": "MODIFICATION: Increase 2 thickness by 54%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0013)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n\nPerformance:\n Mass: 154.90 kg\n Factor of Safety: 0.95\n Max Deflection: 2.61e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 154.90460517671545, "fos_buckling": 0.9524756999215523, "fos_yielding": 3.194526766135235, "deflection": 0.002613389846621202, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.543)" }, "parent_node_id": "node_1702", "improvement_over_parent": null }, "node_1704": { "node_id": "node_1704", "content": "MODIFICATION: Increase 9 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0017)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n\nPerformance:\n Mass: 156.08 kg\n Factor of Safety: 1.12\n Max Deflection: 2.60e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 156.07722644475479, "fos_buckling": 1.1170579217621694, "fos_yielding": 3.24586316487139, "deflection": 0.002596461125951316, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.321)" }, "parent_node_id": "node_1703", "improvement_over_parent": null }, "node_1705": { "node_id": "node_1705", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 200.78 kg\n Factor of Safety: 1.40\n Max Deflection: 2.02e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 200.77637699950327, "fos_buckling": 1.3979091098049816, "fos_yielding": 4.1646099314065355, "deflection": 0.0020243569565089707, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.314)" }, "parent_node_id": "node_1704", "improvement_over_parent": null }, "node_1706": { "node_id": "node_1706", "content": "MODIFICATION: Increase 9 thickness by 53%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.88 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.88394440133777, "fos_buckling": 1.5433547955651732, "fos_yielding": 4.251881380117938, "deflection": 0.0020075049635366513, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.527)" }, "parent_node_id": "node_1705", "improvement_over_parent": null }, "node_1707": { "node_id": "node_1707", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1706", "improvement_over_parent": null }, "node_1708": { "node_id": "node_1708", "content": "INITIAL DESIGN (Trace 242)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0035)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0032)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0023)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0017)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0027)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0038)]\n\nPerformance:\n Mass: 133.98 kg\n Factor of Safety: 0.31\n Max Deflection: 8.00e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 133.98147532281746, "fos_buckling": 0.3113595603356306, "fos_yielding": 1.637395491344486, "deflection": 0.008002006866582326, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1709": { "node_id": "node_1709", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0035)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0032)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0023)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0017)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0027)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0038)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0024)]\n\nPerformance:\n Mass: 139.05 kg\n Factor of Safety: 1.08\n Max Deflection: 2.89e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 139.04993610031866, "fos_buckling": 1.0776549168491456, "fos_yielding": 2.9663927916269732, "deflection": 0.0028916155171977596, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.002425)" }, "parent_node_id": "node_1708", "improvement_over_parent": null }, "node_1710": { "node_id": "node_1710", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0019)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n\nPerformance:\n Mass: 157.72 kg\n Factor of Safety: 1.20\n Max Deflection: 2.55e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 157.72135238890218, "fos_buckling": 1.203428874352165, "fos_yielding": 3.360755882332026, "deflection": 0.002552394732326567, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.144)" }, "parent_node_id": "node_1709", "improvement_over_parent": null }, "node_1711": { "node_id": "node_1711", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n\nPerformance:\n Mass: 198.60 kg\n Factor of Safety: 1.46\n Max Deflection: 2.03e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 198.59814013120734, "fos_buckling": 1.4631629685476275, "fos_yielding": 4.220927508661674, "deflection": 0.002032447521697157, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.284)" }, "parent_node_id": "node_1710", "improvement_over_parent": null }, "node_1712": { "node_id": "node_1712", "content": "MODIFICATION: Increase 13 thickness by 59%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0062)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n\nPerformance:\n Mass: 206.36 kg\n Factor of Safety: 1.45\n Max Deflection: 2.01e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 206.36296486808862, "fos_buckling": 1.4505469644062936, "fos_yielding": 4.205312807064641, "deflection": 0.002013137908998949, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.587)" }, "parent_node_id": "node_1711", "improvement_over_parent": null }, "node_1713": { "node_id": "node_1713", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1712", "improvement_over_parent": null }, "node_1714": { "node_id": "node_1714", "content": "INITIAL DESIGN (Trace 243)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0024)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0021)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0040)]\n\nPerformance:\n Mass: 127.84 kg\n Factor of Safety: 0.26\n Max Deflection: 4.44e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 127.84394670674952, "fos_buckling": 0.2621456255386822, "fos_yielding": 1.86241026604518, "deflection": 0.004437467762978004, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1715": { "node_id": "node_1715", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0024)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0047)]\n\nPerformance:\n Mass: 148.02 kg\n Factor of Safety: 0.30\n Max Deflection: 3.84e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 148.01995134434637, "fos_buckling": 0.29668311063164243, "fos_yielding": 2.150462244816302, "deflection": 0.0038407846975964345, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.170)" }, "parent_node_id": "node_1714", "improvement_over_parent": null }, "node_1716": { "node_id": "node_1716", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0024)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0047)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n\nPerformance:\n Mass: 166.86 kg\n Factor of Safety: 1.29\n Max Deflection: 2.55e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 166.8551900632706, "fos_buckling": 1.2889841532146593, "fos_yielding": 2.267579706803081, "deflection": 0.002553203234224414, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.003936)" }, "parent_node_id": "node_1715", "improvement_over_parent": null }, "node_1717": { "node_id": "node_1717", "content": "MODIFICATION: Increase 2 thickness by 66%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0024)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0047)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n\nPerformance:\n Mass: 169.35 kg\n Factor of Safety: 1.32\n Max Deflection: 2.38e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 169.34834526245905, "fos_buckling": 1.3182432972230413, "fos_yielding": 3.533873258105876, "deflection": 0.002382444384977853, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.661)" }, "parent_node_id": "node_1716", "improvement_over_parent": null }, "node_1718": { "node_id": "node_1718", "content": "MODIFICATION: Increase 14 thickness by 34%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0024)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0063)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n\nPerformance:\n Mass: 177.47 kg\n Factor of Safety: 1.38\n Max Deflection: 2.22e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 177.47166128347564, "fos_buckling": 1.3777403203160106, "fos_yielding": 3.4216567126538417, "deflection": 0.0022198969370316535, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.340)" }, "parent_node_id": "node_1717", "improvement_over_parent": null }, "node_1719": { "node_id": "node_1719", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0075)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n\nPerformance:\n Mass: 208.97 kg\n Factor of Safety: 1.58\n Max Deflection: 1.89e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 208.96866722861802, "fos_buckling": 1.5787210160251963, "fos_yielding": 4.028100364566582, "deflection": 0.001889941364769985, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.196)" }, "parent_node_id": "node_1718", "improvement_over_parent": null }, "node_1720": { "node_id": "node_1720", "content": "MODIFICATION: Increase 5 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0075)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n\nPerformance:\n Mass: 209.54 kg\n Factor of Safety: 1.58\n Max Deflection: 1.89e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 209.54103695137434, "fos_buckling": 1.5785858148649372, "fos_yielding": 4.04094144998232, "deflection": 0.001887804480432831, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.193)" }, "parent_node_id": "node_1719", "improvement_over_parent": null }, "node_1721": { "node_id": "node_1721", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1720", "improvement_over_parent": null }, "node_1722": { "node_id": "node_1722", "content": "INITIAL DESIGN (Trace 244)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 164.04 kg\n Factor of Safety: 0.32\n Max Deflection: 5.94e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 164.03922633702993, "fos_buckling": 0.31692399959300793, "fos_yielding": 1.7384998396610307, "deflection": 0.0059382286558049184, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1723": { "node_id": "node_1723", "content": "MODIFICATION: Increase 2 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 165.95 kg\n Factor of Safety: 0.32\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": 165.9463470833226, "fos_buckling": 0.31688308525316455, "fos_yielding": 1.7382747427784322, "deflection": 0.005938768217933961, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.359)" }, "parent_node_id": "node_1722", "improvement_over_parent": null }, "node_1724": { "node_id": "node_1724", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n\nPerformance:\n Mass: 197.26 kg\n Factor of Safety: 1.35\n Max Deflection: 2.06e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 197.25589742825142, "fos_buckling": 1.3465919946398839, "fos_yielding": 3.7919693495165925, "deflection": 0.00205601845888484, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.005592)" }, "parent_node_id": "node_1723", "improvement_over_parent": null }, "node_1725": { "node_id": "node_1725", "content": "MODIFICATION: Increase 6 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n\nPerformance:\n Mass: 201.34 kg\n Factor of Safety: 1.48\n Max Deflection: 2.03e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 201.33830401146386, "fos_buckling": 1.4759783541103335, "fos_yielding": 4.196681270145767, "deflection": 0.002032826664006619, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.256)" }, "parent_node_id": "node_1724", "improvement_over_parent": null }, "node_1726": { "node_id": "node_1726", "content": "MODIFICATION: Increase 8 thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n\nPerformance:\n Mass: 203.94 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93694362305231, "fos_buckling": 1.5438428013414804, "fos_yielding": 4.253026454124931, "deflection": 0.002006902946404495, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.266)" }, "parent_node_id": "node_1725", "improvement_over_parent": null }, "node_1727": { "node_id": "node_1727", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1726", "improvement_over_parent": null }, "node_1728": { "node_id": "node_1728", "content": "INITIAL DESIGN (Trace 245)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0038)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0035)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0020)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0018)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0042)]\n\nPerformance:\n Mass: 146.71 kg\n Factor of Safety: 1.02\n Max Deflection: 2.91e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 146.71465424331177, "fos_buckling": 1.0211685271762316, "fos_yielding": 2.700367432466371, "deflection": 0.002907978467153907, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1729": { "node_id": "node_1729", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 190.98 kg\n Factor of Safety: 1.27\n Max Deflection: 2.24e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 190.98315182769198, "fos_buckling": 1.2715639665662264, "fos_yielding": 3.5026063121192665, "deflection": 0.0022406283535969435, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.330)" }, "parent_node_id": "node_1728", "improvement_over_parent": null }, "node_1730": { "node_id": "node_1730", "content": "MODIFICATION: Increase 12 thickness by 66%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 196.86 kg\n Factor of Safety: 1.27\n Max Deflection: 2.20e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 196.85904126300505, "fos_buckling": 1.2708046788332465, "fos_yielding": 3.5005148042783913, "deflection": 0.0022010932385144047, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.664)" }, "parent_node_id": "node_1729", "improvement_over_parent": null }, "node_1731": { "node_id": "node_1731", "content": "MODIFICATION: Increase 10 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 199.19 kg\n Factor of Safety: 1.27\n Max Deflection: 2.19e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 199.19169111610358, "fos_buckling": 1.2707042710581338, "fos_yielding": 3.5002382244789123, "deflection": 0.0021910410920950993, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.285)" }, "parent_node_id": "node_1730", "improvement_over_parent": null }, "node_1732": { "node_id": "node_1732", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n\nPerformance:\n Mass: 203.02 kg\n Factor of Safety: 1.54\n Max Deflection: 2.02e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.02409988282236, "fos_buckling": 1.5376519483520448, "fos_yielding": 4.251748327570558, "deflection": 0.0020185453449636, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002592)" }, "parent_node_id": "node_1731", "improvement_over_parent": null }, "node_1733": { "node_id": "node_1733", "content": "MODIFICATION: Increase 0 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n\nPerformance:\n Mass: 203.85 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.8451140386903, "fos_buckling": 1.5431523053314982, "fos_yielding": 4.250714197109168, "deflection": 0.0020078577235688763, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.193)" }, "parent_node_id": "node_1732", "improvement_over_parent": null }, "node_1734": { "node_id": "node_1734", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1733", "improvement_over_parent": null }, "node_1735": { "node_id": "node_1735", "content": "INITIAL DESIGN (Trace 246)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0027)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0019)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0025)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0015)]\n\nPerformance:\n Mass: 100.55 kg\n Factor of Safety: 0.20\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": 100.54998055550911, "fos_buckling": 0.20485654017599464, "fos_yielding": 0.9341134215655525, "deflection": 0.010716545319686107, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1736": { "node_id": "node_1736", "content": "MODIFICATION: Increase 14 thickness by 49%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0027)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0019)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0025)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0023)]\n\nPerformance:\n Mass: 103.49 kg\n Factor of Safety: 0.20\n Max Deflection: 9.45e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 103.49136116927879, "fos_buckling": 0.2047540423685812, "fos_yielding": 1.0463175114011378, "deflection": 0.009445524299061408, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.490)" }, "parent_node_id": "node_1735", "improvement_over_parent": null }, "node_1737": { "node_id": "node_1737", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0032)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0023)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0026)]\n\nPerformance:\n Mass: 119.47 kg\n Factor of Safety: 0.23\n Max Deflection: 8.19e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 119.46543001716088, "fos_buckling": 0.23238396430879957, "fos_yielding": 1.2066101277026677, "deflection": 0.008190414009285139, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.164)" }, "parent_node_id": "node_1736", "improvement_over_parent": null }, "node_1738": { "node_id": "node_1738", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0032)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0023)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0026)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0038)]\n\nPerformance:\n Mass: 141.13 kg\n Factor of Safety: 1.13\n Max Deflection: 2.89e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 141.13381832621738, "fos_buckling": 1.132000984995081, "fos_yielding": 2.954119988275804, "deflection": 0.002888491424005906, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.003758)" }, "parent_node_id": "node_1737", "improvement_over_parent": null }, "node_1739": { "node_id": "node_1739", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0044)]\n\nPerformance:\n Mass: 164.11 kg\n Factor of Safety: 1.29\n Max Deflection: 2.49e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 164.1106258931188, "fos_buckling": 1.2891688832256916, "fos_yielding": 3.4303061280032825, "deflection": 0.0024876744562248357, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.175)" }, "parent_node_id": "node_1738", "improvement_over_parent": null }, "node_1740": { "node_id": "node_1740", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n\nPerformance:\n Mass: 203.87 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.87135988081783, "fos_buckling": 1.543420015628698, "fos_yielding": 4.2512298146959315, "deflection": 0.002007514886003172, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.266)" }, "parent_node_id": "node_1739", "improvement_over_parent": null }, "node_1741": { "node_id": "node_1741", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1740", "improvement_over_parent": null }, "node_1742": { "node_id": "node_1742", "content": "INITIAL DESIGN (Trace 247)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0017)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0014)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0033)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0017)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0027)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0039)]\n\nPerformance:\n Mass: 138.30 kg\n Factor of Safety: 0.85\n Max Deflection: 3.10e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 138.29967746100135, "fos_buckling": 0.8506334779568195, "fos_yielding": 2.0515384336181204, "deflection": 0.003100508157959222, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1743": { "node_id": "node_1743", "content": "MODIFICATION: Increase 9 thickness by 66%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0017)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0033)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0017)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0027)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0039)]\n\nPerformance:\n Mass: 140.94 kg\n Factor of Safety: 0.92\n Max Deflection: 3.06e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 140.93827742038894, "fos_buckling": 0.9187408106356816, "fos_yielding": 2.114430848543297, "deflection": 0.0030611206822498205, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.664)" }, "parent_node_id": "node_1742", "improvement_over_parent": null }, "node_1744": { "node_id": "node_1744", "content": "MODIFICATION: Increase 4 thickness by 44%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0033)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0017)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0027)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0039)]\n\nPerformance:\n Mass: 142.46 kg\n Factor of Safety: 1.18\n Max Deflection: 2.96e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 142.45875821948624, "fos_buckling": 1.1770093165876818, "fos_yielding": 2.1063999461340157, "deflection": 0.002962141950798223, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.441)" }, "parent_node_id": "node_1743", "improvement_over_parent": null }, "node_1745": { "node_id": "node_1745", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0042)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0021)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0046)]\n\nPerformance:\n Mass: 167.32 kg\n Factor of Safety: 1.35\n Max Deflection: 2.52e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 167.3164737431184, "fos_buckling": 1.3506573260481722, "fos_yielding": 2.479118891903801, "deflection": 0.0025248589164847397, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.188)" }, "parent_node_id": "node_1744", "improvement_over_parent": null }, "node_1746": { "node_id": "node_1746", "content": "MODIFICATION: Increase 2 thickness by 53%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0042)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0021)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0046)]\n\nPerformance:\n Mass: 169.47 kg\n Factor of Safety: 1.34\n Max Deflection: 2.39e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 169.46686376598765, "fos_buckling": 1.3393669946688063, "fos_yielding": 3.5875060182314464, "deflection": 0.002392201423466993, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.531)" }, "parent_node_id": "node_1745", "improvement_over_parent": null }, "node_1747": { "node_id": "node_1747", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0025)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 201.29 kg\n Factor of Safety: 1.54\n Max Deflection: 2.02e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 201.28678868608705, "fos_buckling": 1.54354514239597, "fos_yielding": 4.252191623523595, "deflection": 0.002018285092407998, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.206)" }, "parent_node_id": "node_1746", "improvement_over_parent": null }, "node_1748": { "node_id": "node_1748", "content": "MODIFICATION: Increase 11 thickness by 35%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 204.00 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.0025281091029, "fos_buckling": 1.5440770916836746, "fos_yielding": 4.253657048954435, "deflection": 0.002006264562432504, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.346)" }, "parent_node_id": "node_1747", "improvement_over_parent": null }, "node_1749": { "node_id": "node_1749", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1748", "improvement_over_parent": null }, "node_1750": { "node_id": "node_1750", "content": "INITIAL DESIGN (Trace 248)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0015)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0020)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0015)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0018)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0019)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0025)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0018)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0032)]\n\nPerformance:\n Mass: 112.42 kg\n Factor of Safety: 0.57\n Max Deflection: 3.94e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 112.41995661122688, "fos_buckling": 0.5722773839305682, "fos_yielding": 1.9640109234054042, "deflection": 0.003936821579000379, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1751": { "node_id": "node_1751", "content": "MODIFICATION: Increase 9 thickness by 50%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0015)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0020)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0015)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0027)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0019)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0025)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0018)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0032)]\n\nPerformance:\n Mass: 116.68 kg\n Factor of Safety: 0.82\n Max Deflection: 3.71e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 116.67898985894627, "fos_buckling": 0.8169060139931782, "fos_yielding": 1.9634423388766935, "deflection": 0.003709207287808542, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.499)" }, "parent_node_id": "node_1750", "improvement_over_parent": null }, "node_1752": { "node_id": "node_1752", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0015)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0020)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0015)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0027)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0019)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0025)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0018)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0032)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0013)]\n\nPerformance:\n Mass: 118.36 kg\n Factor of Safety: 0.97\n Max Deflection: 3.52e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 118.3558502200865, "fos_buckling": 0.9739162977041921, "fos_yielding": 1.9102324883337567, "deflection": 0.0035198651730237217, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.001274)" }, "parent_node_id": "node_1751", "improvement_over_parent": null }, "node_1753": { "node_id": "node_1753", "content": "MODIFICATION: Increase 14 thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0015)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0020)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0015)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0027)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0019)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0025)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0018)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0041)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0013)]\n\nPerformance:\n Mass: 123.00 kg\n Factor of Safety: 1.00\n Max Deflection: 3.33e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 123.00372198920218, "fos_buckling": 0.9964218549040332, "fos_yielding": 1.9186169171781893, "deflection": 0.0033253481033867637, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.266)" }, "parent_node_id": "node_1752", "improvement_over_parent": null }, "node_1754": { "node_id": "node_1754", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0017)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0023)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0017)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0031)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0022)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0020)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0046)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n\nPerformance:\n Mass: 139.55 kg\n Factor of Safety: 1.11\n Max Deflection: 2.93e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 139.55098633679594, "fos_buckling": 1.1140913309813731, "fos_yielding": 2.178993840106235, "deflection": 0.0029338135667451434, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.143)" }, "parent_node_id": "node_1753", "improvement_over_parent": null }, "node_1755": { "node_id": "node_1755", "content": "MODIFICATION: Increase 1 thickness by 43%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0023)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0017)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0031)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0022)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0020)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0046)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n\nPerformance:\n Mass: 141.06 kg\n Factor of Safety: 1.13\n Max Deflection: 2.80e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 141.06198190753327, "fos_buckling": 1.1327991170535547, "fos_yielding": 2.76617947643553, "deflection": 0.00280348184062422, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.431)" }, "parent_node_id": "node_1754", "improvement_over_parent": null }, "node_1756": { "node_id": "node_1756", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0038)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0025)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0057)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n\nPerformance:\n Mass: 170.08 kg\n Factor of Safety: 1.33\n Max Deflection: 2.33e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 170.07572699618407, "fos_buckling": 1.3326745741790986, "fos_yielding": 3.3330220276519604, "deflection": 0.002330322885027491, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.222)" }, "parent_node_id": "node_1755", "improvement_over_parent": null }, "node_1757": { "node_id": "node_1757", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0071)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n\nPerformance:\n Mass: 208.33 kg\n Factor of Safety: 1.58\n Max Deflection: 1.91e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 208.33264241013683, "fos_buckling": 1.5790081205557795, "fos_yielding": 4.079806933877836, "deflection": 0.0019079607800889268, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.248)" }, "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0021)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n\nPerformance:\n Mass: 146.48 kg\n Factor of Safety: 0.27\n Max Deflection: 4.67e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 146.48222938318827, "fos_buckling": 0.27417095121722895, "fos_yielding": 2.579509326726763, "deflection": 4672420838128.788, "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: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0021)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n\nPerformance:\n Mass: 149.30 kg\n Factor of Safety: 0.55\n Max Deflection: 5.57e+12 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 149.2964612723083, "fos_buckling": 0.5483419024344579, "fos_yielding": 3.8827595399154227, "deflection": 5569439117009.551, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.002221)" }, "parent_node_id": "node_1759", "improvement_over_parent": null }, "node_1761": { "node_id": "node_1761", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0021)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n\nPerformance:\n Mass: 180.61 kg\n Factor of Safety: 1.27\n Max Deflection: 2.21e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 180.60601161723713, "fos_buckling": 1.2724392109626281, "fos_yielding": 3.5049409845991613, "deflection": 0.0022127563752714604, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.005592)" }, "parent_node_id": "node_1760", "improvement_over_parent": null }, "node_1762": { "node_id": "node_1762", "content": "MODIFICATION: Increase 11 thickness by 59%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0021)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0070)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n\nPerformance:\n Mass: 190.28 kg\n Factor of Safety: 1.27\n Max Deflection: 2.18e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 190.2781355035636, "fos_buckling": 1.271188726934122, "fos_yielding": 3.5014965192884886, "deflection": 0.0021792011638061583, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.592)" }, "parent_node_id": "node_1761", "improvement_over_parent": null }, "node_1763": { "node_id": "node_1763", "content": "MODIFICATION: Increase 6 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0021)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0070)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n\nPerformance:\n Mass: 192.35 kg\n Factor of Safety: 1.27\n Max Deflection: 2.17e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 192.34798888733462, "fos_buckling": 1.2710105232304822, "fos_yielding": 3.501005656181545, "deflection": 0.0021719047214082427, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.242)" }, "parent_node_id": "node_1762", "improvement_over_parent": null }, "node_1764": { "node_id": "node_1764", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0021)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0070)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 207.80 kg\n Factor of Safety: 1.38\n Max Deflection: 1.99e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 207.79889340107542, "fos_buckling": 1.381286328626978, "fos_yielding": 3.8954609746894486, "deflection": 0.0019929083828338578, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003928)" }, "parent_node_id": "node_1763", "improvement_over_parent": null }, "node_1765": { "node_id": "node_1765", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1764", "improvement_over_parent": null }, "node_1766": { "node_id": "node_1766", "content": "INITIAL DESIGN (Trace 250)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0032)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0031)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0042)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0050)]\n\nPerformance:\n Mass: 164.09 kg\n Factor of Safety: 0.91\n Max Deflection: 2.78e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 164.09416332645364, "fos_buckling": 0.9141071913558019, "fos_yielding": 2.974063465003775, "deflection": 0.0027825678454039098, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1767": { "node_id": "node_1767", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0032)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0031)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0042)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0050)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n\nPerformance:\n Mass: 178.20 kg\n Factor of Safety: 1.26\n Max Deflection: 2.26e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 178.20334134571317, "fos_buckling": 1.2623744861383879, "fos_yielding": 3.5171696344238486, "deflection": 0.0022633767272371833, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.003146)" }, "parent_node_id": "node_1766", "improvement_over_parent": null }, "node_1768": { "node_id": "node_1768", "content": "MODIFICATION: Increase 6 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0032)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0046)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0031)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0042)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0050)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n\nPerformance:\n Mass: 181.58 kg\n Factor of Safety: 1.31\n Max Deflection: 2.24e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 181.58445025694903, "fos_buckling": 1.306180683877589, "fos_yielding": 3.8475281003366915, "deflection": 0.002241155080762078, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.227)" }, "parent_node_id": "node_1767", "improvement_over_parent": null }, "node_1769": { "node_id": "node_1769", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n\nPerformance:\n Mass: 200.45 kg\n Factor of Safety: 1.42\n Max Deflection: 2.03e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 200.45082168331416, "fos_buckling": 1.4244178873963809, "fos_yielding": 4.242015185843992, "deflection": 0.0020326010211516284, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.114)" }, "parent_node_id": "node_1768", "improvement_over_parent": null }, "node_1770": { "node_id": "node_1770", "content": "MODIFICATION: Increase 12 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0049)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n\nPerformance:\n Mass: 203.86 kg\n Factor of Safety: 1.49\n Max Deflection: 2.02e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 203.86305954047828, "fos_buckling": 1.4860913015634138, "fos_yielding": 4.231588556317274, "deflection": 0.002019943115740642, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.247)" }, "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0026)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nPerformance:\n Mass: 151.87 kg\n Factor of Safety: 1.05\n Max Deflection: 2.67e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 151.86744203099246, "fos_buckling": 1.0514916810905142, "fos_yielding": 3.3537392623477396, "deflection": 0.0026696994915379, "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: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0026)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n\nPerformance:\n Mass: 160.90 kg\n Factor of Safety: 1.27\n Max Deflection: 2.52e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 160.89924741631907, "fos_buckling": 1.2665311705328057, "fos_yielding": 3.36619826362873, "deflection": 0.002519734226957211, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.002630)" }, "parent_node_id": "node_1772", "improvement_over_parent": null }, "node_1774": { "node_id": "node_1774", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0045)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0041)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0049)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n\nPerformance:\n Mass: 178.27 kg\n Factor of Safety: 1.38\n Max Deflection: 2.28e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 178.27383315818767, "fos_buckling": 1.3808462149042873, "fos_yielding": 3.7258090119693374, "deflection": 0.0022767650447233796, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.117)" }, "parent_node_id": "node_1773", "improvement_over_parent": null }, "node_1775": { "node_id": "node_1775", "content": "MODIFICATION: Increase 14 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0045)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0041)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0058)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n\nPerformance:\n Mass: 182.77 kg\n Factor of Safety: 1.43\n Max Deflection: 2.19e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 182.767601052277, "fos_buckling": 1.425249479925856, "fos_yielding": 3.650793508281264, "deflection": 0.0021869572275034633, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.179)" }, "parent_node_id": "node_1774", "improvement_over_parent": null }, "node_1776": { "node_id": "node_1776", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0066)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n\nPerformance:\n Mass: 206.67 kg\n Factor of Safety: 1.58\n Max Deflection: 1.94e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 206.66509664706072, "fos_buckling": 1.577755223256511, "fos_yielding": 4.124964954609601, "deflection": 0.001937497741919402, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.144)" }, "parent_node_id": "node_1775", "improvement_over_parent": null }, "node_1777": { "node_id": "node_1777", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1776", "improvement_over_parent": null }, "node_1778": { "node_id": "node_1778", "content": "INITIAL DESIGN (Trace 252)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0011)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0018)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0011)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0012)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0025)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0016)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0016)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0023)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0016)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0021)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0019)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0019)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0027)]\n\nPerformance:\n Mass: 91.59 kg\n Factor of Safety: 0.26\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": 91.59363788036349, "fos_buckling": 0.26145364188413084, "fos_yielding": 1.1798067703549535, "deflection": 0.013236353638265419, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1779": { "node_id": "node_1779", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0011)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0018)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0011)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0012)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0025)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0016)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0016)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0023)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0016)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0021)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0019)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0019)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0027)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0017)]\n\nPerformance:\n Mass: 95.23 kg\n Factor of Safety: 0.54\n Max Deflection: 4.85e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 95.23313705471112, "fos_buckling": 0.536934633115716, "fos_yielding": 1.7606756791253118, "deflection": 0.004850604805664232, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.001711)" }, "parent_node_id": "node_1778", "improvement_over_parent": null }, "node_1780": { "node_id": "node_1780", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0011)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0018)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0011)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0012)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0025)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0016)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0016)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0023)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0016)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0021)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0019)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0019)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0027)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0017)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0019)]\n\nPerformance:\n Mass: 101.94 kg\n Factor of Safety: 0.82\n Max Deflection: 4.00e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 101.93902455709708, "fos_buckling": 0.8223268722017334, "fos_yielding": 2.154197319788851, "deflection": 0.004002316873054903, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.001934)" }, "parent_node_id": "node_1779", "improvement_over_parent": null }, "node_1781": { "node_id": "node_1781", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0014)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0013)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0015)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0030)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0028)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0020)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0023)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0033)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0021)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n\nPerformance:\n Mass: 123.42 kg\n Factor of Safety: 0.98\n Max Deflection: 3.31e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 123.42204054204906, "fos_buckling": 0.9754991188660198, "fos_yielding": 2.6046494296210736, "deflection": 0.003310036888987806, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.222)" }, "parent_node_id": "node_1780", "improvement_over_parent": null }, "node_1782": { "node_id": "node_1782", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0015)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0017)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0032)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0023)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0026)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0038)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0024)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n\nPerformance:\n Mass: 140.27 kg\n Factor of Safety: 1.09\n Max Deflection: 2.92e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 140.26960097902491, "fos_buckling": 1.0908302677723682, "fos_yielding": 2.957049026344627, "deflection": 0.0029154848836837177, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.145)" }, "parent_node_id": "node_1781", "improvement_over_parent": null }, "node_1783": { "node_id": "node_1783", "content": "MODIFICATION: Increase 0 thickness by 35%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0017)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0032)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0023)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0026)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0038)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0024)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n\nPerformance:\n Mass: 141.21 kg\n Factor of Safety: 1.13\n Max Deflection: 2.89e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 141.21283288548426, "fos_buckling": 1.132466885090047, "fos_yielding": 2.955773685354527, "deflection": 0.002886999554838843, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.350)" }, "parent_node_id": "node_1782", "improvement_over_parent": null }, "node_1784": { "node_id": "node_1784", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0041)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0048)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n\nPerformance:\n Mass: 178.39 kg\n Factor of Safety: 1.38\n Max Deflection: 2.29e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 178.38858206898186, "fos_buckling": 1.3829471235405544, "fos_yielding": 3.7255664371172443, "deflection": 0.002290705683356826, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.285)" }, "parent_node_id": "node_1783", "improvement_over_parent": null }, "node_1785": { "node_id": "node_1785", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 203.72 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.72107726597397, "fos_buckling": 1.5423913817679415, "fos_yielding": 4.248154389692662, "deflection": 0.002009051121126434, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.156)" }, "parent_node_id": "node_1784", "improvement_over_parent": null }, "node_1786": { "node_id": "node_1786", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1785", "improvement_over_parent": null }, "node_1787": { "node_id": "node_1787", "content": "INITIAL DESIGN (Trace 253)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0038)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0045)]\n\nPerformance:\n Mass: 154.05 kg\n Factor of Safety: 1.08\n Max Deflection: 2.64e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 154.04766606798316, "fos_buckling": 1.0779885435477725, "fos_yielding": 3.3917007794112215, "deflection": 0.0026429427498068517, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1788": { "node_id": "node_1788", "content": "MODIFICATION: Increase 8 thickness by 38%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0038)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0045)]\n\nPerformance:\n Mass: 156.91 kg\n Factor of Safety: 1.08\n Max Deflection: 2.59e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 156.90773583905747, "fos_buckling": 1.0775733010527107, "fos_yielding": 3.4561576699007848, "deflection": 0.00259262992324206, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.381)" }, "parent_node_id": "node_1787", "improvement_over_parent": null }, "node_1789": { "node_id": "node_1789", "content": "MODIFICATION: Increase 9 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0038)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0045)]\n\nPerformance:\n Mass: 158.20 kg\n Factor of Safety: 1.08\n Max Deflection: 2.58e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 158.19641380135698, "fos_buckling": 1.0775733010527107, "fos_yielding": 3.4866239775384447, "deflection": 0.002584272432574621, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.211)" }, "parent_node_id": "node_1788", "improvement_over_parent": null }, "node_1790": { "node_id": "node_1790", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0038)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0045)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n\nPerformance:\n Mass: 167.50 kg\n Factor of Safety: 1.31\n Max Deflection: 2.44e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 167.49911450732944, "fos_buckling": 1.3116136258373068, "fos_yielding": 3.5004552650781795, "deflection": 0.0024379709583138417, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.002715)" }, "parent_node_id": "node_1789", "improvement_over_parent": null }, "node_1791": { "node_id": "node_1791", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n\nPerformance:\n Mass: 203.95 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.95438336704473, "fos_buckling": 1.543816986672293, "fos_yielding": 4.252983595524493, "deflection": 0.0020067904756600617, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.239)" }, "parent_node_id": "node_1790", "improvement_over_parent": null }, "node_1792": { "node_id": "node_1792", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1791", "improvement_over_parent": null }, "node_1793": { "node_id": "node_1793", "content": "INITIAL DESIGN (Trace 254)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0045)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0042)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0049)]\n\nPerformance:\n Mass: 175.27 kg\n Factor of Safety: 1.16\n Max Deflection: 2.46e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 175.2712645586881, "fos_buckling": 1.1577015416913345, "fos_yielding": 3.1281436882536635, "deflection": 0.0024550565695607017, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1794": { "node_id": "node_1794", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0045)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0042)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0049)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n\nPerformance:\n Mass: 178.69 kg\n Factor of Safety: 1.27\n Max Deflection: 2.29e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 178.68889202629515, "fos_buckling": 1.2679269664560564, "fos_yielding": 3.724054080101635, "deflection": 0.002290013444320363, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002287)" }, "parent_node_id": "node_1793", "improvement_over_parent": null }, "node_1795": { "node_id": "node_1795", "content": "MODIFICATION: Increase 8 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0045)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0042)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0042)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0049)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n\nPerformance:\n Mass: 181.67 kg\n Factor of Safety: 1.24\n Max Deflection: 2.28e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 181.67306196816526, "fos_buckling": 1.2400593292442967, "fos_yielding": 3.7666865802522556, "deflection": 0.00228018939655896, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.393)" }, "parent_node_id": "node_1794", "improvement_over_parent": null }, "node_1796": { "node_id": "node_1796", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0048)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n\nPerformance:\n Mass: 203.80 kg\n Factor of Safety: 1.38\n Max Deflection: 2.03e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 203.79697697481978, "fos_buckling": 1.3758804879258304, "fos_yielding": 4.221092786552801, "deflection": 0.002034705733141826, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.134)" }, "parent_node_id": "node_1795", "improvement_over_parent": null }, "node_1797": { "node_id": "node_1797", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1796", "improvement_over_parent": null }, "node_1798": { "node_id": "node_1798", "content": "INITIAL DESIGN (Trace 255)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0017)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0020)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0020)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0019)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0028)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0019)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0018)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0019)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0026)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0018)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0024)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0021)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0030)]\n\nPerformance:\n Mass: 101.44 kg\n Factor of Safety: 0.58\n Max Deflection: 4.66e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 101.43628562852943, "fos_buckling": 0.5838836088206302, "fos_yielding": 1.9893684134918033, "deflection": 0.004656591798728857, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1799": { "node_id": "node_1799", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0017)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0020)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0020)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0019)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0028)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0019)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0018)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0019)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0026)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0018)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0024)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0021)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0030)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0014)]\n\nPerformance:\n Mass: 103.60 kg\n Factor of Safety: 0.58\n Max Deflection: 4.24e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 103.60161567615468, "fos_buckling": 0.5837969439597582, "fos_yielding": 1.9890747114282712, "deflection": 0.004240151480491535, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.001406)" }, "parent_node_id": "node_1798", "improvement_over_parent": null }, "node_1800": { "node_id": "node_1800", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0023)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0033)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0030)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0022)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0025)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0036)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0017)]\n\nPerformance:\n Mass: 122.19 kg\n Factor of Safety: 0.68\n Max Deflection: 3.60e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 122.18869343099692, "fos_buckling": 0.6766949704978428, "fos_yielding": 2.343092619480869, "deflection": 0.0035996802090739687, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.190)" }, "parent_node_id": "node_1799", "improvement_over_parent": null }, "node_1801": { "node_id": "node_1801", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0042)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0046)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n\nPerformance:\n Mass: 153.60 kg\n Factor of Safety: 0.83\n Max Deflection: 2.87e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 153.604093420368, "fos_buckling": 0.825535866837953, "fos_yielding": 2.939470013216353, "deflection": 0.0028695814722320915, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.277)" }, "parent_node_id": "node_1800", "improvement_over_parent": null }, "node_1802": { "node_id": "node_1802", "content": "MODIFICATION: Increase 7 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0042)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0046)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n\nPerformance:\n Mass: 155.15 kg\n Factor of Safety: 0.83\n Max Deflection: 2.86e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 155.1523898038266, "fos_buckling": 0.8255358668379528, "fos_yielding": 2.939470013216353, "deflection": 0.002859701768685458, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.212)" }, "parent_node_id": "node_1801", "improvement_over_parent": null }, "node_1803": { "node_id": "node_1803", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0042)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0046)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n\nPerformance:\n Mass: 157.51 kg\n Factor of Safety: 0.83\n Max Deflection: 2.62e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 157.5118726355508, "fos_buckling": 0.8256693520507106, "fos_yielding": 2.9392342962081783, "deflection": 0.002620367653539381, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.001833)" }, "parent_node_id": "node_1802", "improvement_over_parent": null }, "node_1804": { "node_id": "node_1804", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0041)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n\nPerformance:\n Mass: 187.91 kg\n Factor of Safety: 0.96\n Max Deflection: 2.20e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 187.9088435776729, "fos_buckling": 0.9569349984888678, "fos_yielding": 3.500366420122662, "deflection": 0.002200192755625202, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.212)" }, "parent_node_id": "node_1803", "improvement_over_parent": null }, "node_1805": { "node_id": "node_1805", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0041)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n\nPerformance:\n Mass: 203.49 kg\n Factor of Safety: 1.49\n Max Deflection: 2.02e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 203.49018021012546, "fos_buckling": 1.486777113840259, "fos_yielding": 4.2356887342340235, "deflection": 0.0020231349738858975, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.003945)" }, "parent_node_id": "node_1804", "improvement_over_parent": null }, "node_1806": { "node_id": "node_1806", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1805", "improvement_over_parent": null }, "node_1807": { "node_id": "node_1807", "content": "INITIAL DESIGN (Trace 256)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\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_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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n\nPerformance:\n Mass: 188.48 kg\n Factor of Safety: 1.27\n Max Deflection: 2.18e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 188.48259373167625, "fos_buckling": 1.272136069200018, "fos_yielding": 3.5044688958943064, "deflection": 0.0021777341261365614, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002592)" }, "parent_node_id": "node_1807", "improvement_over_parent": null }, "node_1809": { "node_id": "node_1809", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93349824541704, "fos_buckling": 1.5436991912594864, "fos_yielding": 4.252568519488676, "deflection": 0.0020069845930450842, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003928)" }, "parent_node_id": "node_1808", "improvement_over_parent": null }, "node_1810": { "node_id": "node_1810", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1809", "improvement_over_parent": null }, "node_1811": { "node_id": "node_1811", "content": "INITIAL DESIGN (Trace 257)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 158.17 kg\n Factor of Safety: 0.79\n Max Deflection: 2.20e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 158.1668619296699, "fos_buckling": 0.7872884539984923, "fos_yielding": 3.8712423455341525, "deflection": 2195321277957.7292, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1812": { "node_id": "node_1812", "content": "MODIFICATION: Increase 0 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 159.16 kg\n Factor of Safety: 0.26\n Max Deflection: 3.48e+12 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 159.15565697221098, "fos_buckling": 0.26120568075454476, "fos_yielding": 2.2462286836276237, "deflection": 3477776793120.837, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.241)" }, "parent_node_id": "node_1811", "improvement_over_parent": null }, "node_1813": { "node_id": "node_1813", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M12: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n\nPerformance:\n Mass: 161.97 kg\n Factor of Safety: 0.57\n Max Deflection: 1.00e+13 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 161.96988886133101, "fos_buckling": 0.5727728011519829, "fos_yielding": 1.877382438887061, "deflection": 10029198638837.398, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.002221)" }, "parent_node_id": "node_1812", "improvement_over_parent": null }, "node_1814": { "node_id": "node_1814", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M12: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n\nPerformance:\n Mass: 169.20 kg\n Factor of Safety: 0.78\n Max Deflection: 2.54e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 169.20103464953942, "fos_buckling": 0.7787433787605148, "fos_yielding": 3.509116858079892, "deflection": 0.002535461896240148, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.003560)" }, "parent_node_id": "node_1813", "improvement_over_parent": null }, "node_1815": { "node_id": "node_1815", "content": "MODIFICATION: Increase 10 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0047)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M12: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n\nPerformance:\n Mass: 171.79 kg\n Factor of Safety: 0.78\n Max Deflection: 2.54e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 171.79220710815187, "fos_buckling": 0.7786049541180342, "fos_yielding": 3.5084987815243682, "deflection": 0.0025355860278747358, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.188)" }, "parent_node_id": "node_1814", "improvement_over_parent": null }, "node_1816": { "node_id": "node_1816", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0047)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M12: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n\nPerformance:\n Mass: 187.37 kg\n Factor of Safety: 0.83\n Max Deflection: 2.53e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 187.37354374060442, "fos_buckling": 0.8333113280314202, "fos_yielding": 3.4143827933986484, "deflection": 0.0025303502625570033, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.003945)" }, "parent_node_id": "node_1815", "improvement_over_parent": null }, "node_1817": { "node_id": "node_1817", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0047)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M12: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 200.70 kg\n Factor of Safety: 1.39\n Max Deflection: 2.04e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 200.69707781224966, "fos_buckling": 1.3887042059760788, "fos_yielding": 4.2781349573085965, "deflection": 0.002038008272863498, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.004024)" }, "parent_node_id": "node_1816", "improvement_over_parent": null }, "node_1818": { "node_id": "node_1818", "content": "MODIFICATION: Increase 12 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0047)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M12: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0029)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 201.46 kg\n Factor of Safety: 1.39\n Max Deflection: 2.03e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 201.45839175391154, "fos_buckling": 1.3857278002330928, "fos_yielding": 4.278557100803515, "deflection": 0.002034663432345964, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.307)" }, "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "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 258)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0029)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0033)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0023)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0017)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0039)]\n\nPerformance:\n Mass: 129.77 kg\n Factor of Safety: 0.36\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": 129.76590663533858, "fos_buckling": 0.3564314115002933, "fos_yielding": 1.6649443459718827, "deflection": 0.008046232158288842, "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: Increase 7 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0029)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0033)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0023)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0017)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0039)]\n\nPerformance:\n Mass: 130.80 kg\n Factor of Safety: 0.36\n Max Deflection: 8.05e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 130.7950101819201, "fos_buckling": 0.3564314115002933, "fos_yielding": 1.6649443459718827, "deflection": 0.008046232158288842, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.189)" }, "parent_node_id": "node_1820", "improvement_over_parent": null }, "node_1822": { "node_id": "node_1822", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0036)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0020)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0048)]\n\nPerformance:\n Mass: 158.34 kg\n Factor of Safety: 0.42\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": 158.33866464730554, "fos_buckling": 0.41946131091854183, "fos_yielding": 2.0099158478080703, "deflection": 0.006666360832758511, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.227)" }, "parent_node_id": "node_1821", "improvement_over_parent": null }, "node_1823": { "node_id": "node_1823", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0036)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0020)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0048)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n\nPerformance:\n Mass: 164.58 kg\n Factor of Safety: 1.13\n Max Deflection: 2.54e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 164.57845413579605, "fos_buckling": 1.1259153910116115, "fos_yielding": 3.0266395961745123, "deflection": 0.0025428888440175903, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.003031)" }, "parent_node_id": "node_1822", "improvement_over_parent": null }, "node_1824": { "node_id": "node_1824", "content": "MODIFICATION: Increase 13 thickness by 64%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0036)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0020)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0078)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n\nPerformance:\n Mass: 179.67 kg\n Factor of Safety: 1.22\n Max Deflection: 2.21e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 179.67498920981956, "fos_buckling": 1.2210938050026259, "fos_yielding": 3.0235411280098248, "deflection": 0.002207474453786421, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.639)" }, "parent_node_id": "node_1823", "improvement_over_parent": null }, "node_1825": { "node_id": "node_1825", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0036)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0020)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0078)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n\nPerformance:\n Mass: 182.98 kg\n Factor of Safety: 1.22\n Max Deflection: 2.12e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 182.98084004887488, "fos_buckling": 1.2172870433188765, "fos_yielding": 3.374643468820053, "deflection": 0.0021214937443534464, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002206)" }, "parent_node_id": "node_1824", "improvement_over_parent": null }, "node_1826": { "node_id": "node_1826", "content": "MODIFICATION: Increase 6 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0036)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0042)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0020)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0078)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n\nPerformance:\n Mass: 185.21 kg\n Factor of Safety: 1.22\n Max Deflection: 2.11e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 185.21206908344226, "fos_buckling": 1.2188586020982441, "fos_yielding": 3.37900024777352, "deflection": 0.00210540169999715, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.214)" }, "parent_node_id": "node_1825", "improvement_over_parent": null }, "node_1827": { "node_id": "node_1827", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0042)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0049)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0024)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0092)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n\nPerformance:\n Mass: 214.29 kg\n Factor of Safety: 1.39\n Max Deflection: 1.82e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 214.28802308496554, "fos_buckling": 1.3864319994831922, "fos_yielding": 3.922255874893985, "deflection": 0.0018233297722437065, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.175)" }, "parent_node_id": "node_1826", "improvement_over_parent": null }, "node_1828": { "node_id": "node_1828", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1827", "improvement_over_parent": null }, "node_1829": { "node_id": "node_1829", "content": "INITIAL DESIGN (Trace 259)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0014)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0048)]\n\nPerformance:\n Mass: 172.40 kg\n Factor of Safety: 0.78\n Max Deflection: 2.54e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 172.39540701820061, "fos_buckling": 0.7810452507719757, "fos_yielding": 2.04485165365387, "deflection": 0.002538744527808251, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1830": { "node_id": "node_1830", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0016)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 200.04 kg\n Factor of Safety: 0.90\n Max Deflection: 2.19e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 200.04362075097055, "fos_buckling": 0.8996649720105306, "fos_yielding": 2.382160285414852, "deflection": 0.0021895796522730963, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.176)" }, "parent_node_id": "node_1829", "improvement_over_parent": null }, "node_1831": { "node_id": "node_1831", "content": "MODIFICATION: Increase 4 thickness by 59%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 201.96 kg\n Factor of Safety: 1.27\n Max Deflection: 2.07e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 201.9558247837468, "fos_buckling": 1.2737243402366225, "fos_yielding": 3.5262428363044567, "deflection": 0.0020685455181176783, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.592)" }, "parent_node_id": "node_1830", "improvement_over_parent": null }, "node_1832": { "node_id": "node_1832", "content": "MODIFICATION: Increase 4 thickness by 38%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.82 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.81654518933917, "fos_buckling": 1.543056474518327, "fos_yielding": 4.250392424002983, "deflection": 0.002008258824588425, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.381)" }, "parent_node_id": "node_1831", "improvement_over_parent": null }, "node_1833": { "node_id": "node_1833", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1832", "improvement_over_parent": null }, "node_1834": { "node_id": "node_1834", "content": "INITIAL DESIGN (Trace 260)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0032)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0023)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0027)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0038)]\n\nPerformance:\n Mass: 142.75 kg\n Factor of Safety: 1.03\n Max Deflection: 2.89e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 142.7527263801329, "fos_buckling": 1.0259844660125665, "fos_yielding": 2.765359401126168, "deflection": 0.0028901655216236216, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1835": { "node_id": "node_1835", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0042)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0046)]\n\nPerformance:\n Mass: 169.90 kg\n Factor of Safety: 1.20\n Max Deflection: 2.43e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 169.89530177557478, "fos_buckling": 1.1975301468222148, "fos_yielding": 3.2898254928858317, "deflection": 0.002432181069481033, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.205)" }, "parent_node_id": "node_1834", "improvement_over_parent": null }, "node_1836": { "node_id": "node_1836", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 202.71 kg\n Factor of Safety: 1.39\n Max Deflection: 2.04e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 202.70858932157418, "fos_buckling": 1.394922010705717, "fos_yielding": 3.9239070020434035, "deflection": 0.0020422485538839656, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.212)" }, "parent_node_id": "node_1835", "improvement_over_parent": null }, "node_1837": { "node_id": "node_1837", "content": "MODIFICATION: Increase 4 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.92 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.92049489854153, "fos_buckling": 1.543588081822366, "fos_yielding": 4.252200059672049, "deflection": 0.0020070611363630737, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.221)" }, "parent_node_id": "node_1836", "improvement_over_parent": null }, "node_1838": { "node_id": "node_1838", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1837", "improvement_over_parent": null }, "node_1839": { "node_id": "node_1839", "content": "INITIAL DESIGN (Trace 261)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0030)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0022)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0018)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0022)]\n\nPerformance:\n Mass: 124.74 kg\n Factor of Safety: 0.75\n Max Deflection: 3.52e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 124.73948947820494, "fos_buckling": 0.7513796237250148, "fos_yielding": 2.4594423172193554, "deflection": 0.003515430408141957, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1840": { "node_id": "node_1840", "content": "MODIFICATION: Increase 15 thickness by 64%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0030)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0022)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0018)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0036)]\n\nPerformance:\n Mass: 132.54 kg\n Factor of Safety: 1.07\n Max Deflection: 3.04e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 132.54282463857632, "fos_buckling": 1.067885682642833, "fos_yielding": 2.774174552488955, "deflection": 0.0030371620783053144, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(15, thickness, 1.637)" }, "parent_node_id": "node_1839", "improvement_over_parent": null }, "node_1841": { "node_id": "node_1841", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0042)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0038)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0023)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0045)]\n\nPerformance:\n Mass: 165.32 kg\n Factor of Safety: 1.29\n Max Deflection: 2.44e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 165.31517824001008, "fos_buckling": 1.2923582373003133, "fos_yielding": 3.4534971416012445, "deflection": 0.0024404182683840404, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.266)" }, "parent_node_id": "node_1840", "improvement_over_parent": null }, "node_1842": { "node_id": "node_1842", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0028)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 199.99 kg\n Factor of Safety: 1.51\n Max Deflection: 2.02e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 199.99307675895375, "fos_buckling": 1.5130309513981046, "fos_yielding": 4.1695074996468415, "deflection": 0.0020219591322456465, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.230)" }, "parent_node_id": "node_1841", "improvement_over_parent": null }, "node_1843": { "node_id": "node_1843", "content": "MODIFICATION: Increase 14 thickness by 40%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 204.10 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.10417702143278, "fos_buckling": 1.5445430527970019, "fos_yielding": 4.256346399400293, "deflection": 0.0020054591631166714, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.397)" }, "parent_node_id": "node_1842", "improvement_over_parent": null }, "node_1844": { "node_id": "node_1844", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1843", "improvement_over_parent": null }, "node_1845": { "node_id": "node_1845", "content": "INITIAL DESIGN (Trace 262)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0015)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0022)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0026)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0037)]\n\nPerformance:\n Mass: 118.53 kg\n Factor of Safety: 0.64\n Max Deflection: 3.75e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 118.52641794429466, "fos_buckling": 0.6356850116070892, "fos_yielding": 2.373175132139341, "deflection": 0.0037462347916251693, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1846": { "node_id": "node_1846", "content": "MODIFICATION: Increase 8 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0021)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0022)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0026)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0037)]\n\nPerformance:\n Mass: 121.16 kg\n Factor of Safety: 0.69\n Max Deflection: 3.68e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 121.15613986186607, "fos_buckling": 0.6884604556074763, "fos_yielding": 2.3729625855188075, "deflection": 0.00367673640854302, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.359)" }, "parent_node_id": "node_1845", "improvement_over_parent": null }, "node_1847": { "node_id": "node_1847", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0021)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0022)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0026)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0037)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n\nPerformance:\n Mass: 130.14 kg\n Factor of Safety: 0.87\n Max Deflection: 3.31e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 130.13516088596825, "fos_buckling": 0.8723180006275753, "fos_yielding": 2.370063483168898, "deflection": 0.0033132825150435155, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.002629)" }, "parent_node_id": "node_1846", "improvement_over_parent": null }, "node_1848": { "node_id": "node_1848", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0021)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0022)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0026)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0037)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0017)]\n\nPerformance:\n Mass: 132.72 kg\n Factor of Safety: 0.88\n Max Deflection: 3.06e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 132.71728882764722, "fos_buckling": 0.8833925815217185, "fos_yielding": 2.8814360343956515, "deflection": 0.0030563751305782323, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.001693)" }, "parent_node_id": "node_1847", "improvement_over_parent": null }, "node_1849": { "node_id": "node_1849", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0023)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0025)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0032)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0029)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0041)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0019)]\n\nPerformance:\n Mass: 147.64 kg\n Factor of Safety: 0.97\n Max Deflection: 2.75e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 147.64328567044632, "fos_buckling": 0.9742453213484404, "fos_yielding": 3.2019521707989704, "deflection": 0.0027499921236511186, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.120)" }, "parent_node_id": "node_1848", "improvement_over_parent": null }, "node_1850": { "node_id": "node_1850", "content": "MODIFICATION: Increase 10 thickness by 49%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0023)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0025)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0048)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0029)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0041)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0019)]\n\nPerformance:\n Mass: 153.96 kg\n Factor of Safety: 0.96\n Max Deflection: 2.69e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 153.95588997603173, "fos_buckling": 0.9582839032510152, "fos_yielding": 3.1573603181782937, "deflection": 0.0026945882209497415, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.488)" }, "parent_node_id": "node_1849", "improvement_over_parent": null }, "node_1851": { "node_id": "node_1851", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0027)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0054)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0047)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n\nPerformance:\n Mass: 174.54 kg\n Factor of Safety: 1.07\n Max Deflection: 2.38e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 174.54236180302837, "fos_buckling": 1.067208054480376, "fos_yielding": 3.5775249097282122, "deflection": 0.0023790150698999083, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.145)" }, "parent_node_id": "node_1850", "improvement_over_parent": null }, "node_1852": { "node_id": "node_1852", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0032)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0065)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n\nPerformance:\n Mass: 204.92 kg\n Factor of Safety: 1.22\n Max Deflection: 2.03e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 204.91508666650563, "fos_buckling": 1.2199122954988684, "fos_yielding": 4.1968890134550465, "deflection": 0.0020291367721697127, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.192)" }, "parent_node_id": "node_1851", "improvement_over_parent": null }, "node_1853": { "node_id": "node_1853", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1852", "improvement_over_parent": null }, "node_1854": { "node_id": "node_1854", "content": "INITIAL DESIGN (Trace 263)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0016)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0019)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0011)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0015)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0013)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0017)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0017)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0024)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0017)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0022)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0012)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0020)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0028)]\n\nPerformance:\n Mass: 104.50 kg\n Factor of Safety: 0.82\n Max Deflection: 3.87e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 104.50053612233853, "fos_buckling": 0.818668576908318, "fos_yielding": 2.227438239217159, "deflection": 0.0038691781690335207, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1855": { "node_id": "node_1855", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0031)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0022)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0016)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0026)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0037)]\n\nPerformance:\n Mass: 134.97 kg\n Factor of Safety: 1.03\n Max Deflection: 3.00e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 134.97047122055693, "fos_buckling": 1.0313357943692012, "fos_yielding": 2.8714684748577968, "deflection": 0.0030013116404250828, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.309)" }, "parent_node_id": "node_1854", "improvement_over_parent": null }, "node_1856": { "node_id": "node_1856", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0048)]\n\nPerformance:\n Mass: 170.24 kg\n Factor of Safety: 1.26\n Max Deflection: 2.38e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 170.24368690308282, "fos_buckling": 1.2628832216569714, "fos_yielding": 3.614025937013195, "deflection": 0.002384612840507443, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.282)" }, "parent_node_id": "node_1855", "improvement_over_parent": null }, "node_1857": { "node_id": "node_1857", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 197.43 kg\n Factor of Safety: 1.43\n Max Deflection: 2.06e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 197.42970555614343, "fos_buckling": 1.4306398904189377, "fos_yielding": 4.184170446683806, "deflection": 0.002059676288339302, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.175)" }, "parent_node_id": "node_1856", "improvement_over_parent": null }, "node_1858": { "node_id": "node_1858", "content": "MODIFICATION: Increase 4 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 198.44 kg\n Factor of Safety: 1.46\n Max Deflection: 2.03e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 198.4388353908065, "fos_buckling": 1.4586318366307431, "fos_yielding": 4.215677115994689, "deflection": 0.002033495903306683, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.178)" }, "parent_node_id": "node_1857", "improvement_over_parent": null }, "node_1859": { "node_id": "node_1859", "content": "MODIFICATION: Increase 13 thickness by 61%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 204.03 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.02785208532077, "fos_buckling": 1.5442636006575545, "fos_yielding": 4.254474320400504, "deflection": 0.0020060234617283843, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.613)" }, "parent_node_id": "node_1858", "improvement_over_parent": null }, "node_1860": { "node_id": "node_1860", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1859", "improvement_over_parent": null }, "node_1861": { "node_id": "node_1861", "content": "INITIAL DESIGN (Trace 264)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0024)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0023)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0026)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0038)]\n\nPerformance:\n Mass: 133.98 kg\n Factor of Safety: 0.93\n Max Deflection: 3.25e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 133.98057240508757, "fos_buckling": 0.9315001179580175, "fos_yielding": 2.4307847864980574, "deflection": 0.003254313831537687, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1862": { "node_id": "node_1862", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0027)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0025)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0042)]\n\nPerformance:\n Mass: 150.14 kg\n Factor of Safety: 1.03\n Max Deflection: 2.91e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 150.1400737975982, "fos_buckling": 1.0277309959293306, "fos_yielding": 2.7205753066335783, "deflection": 0.002906924896214655, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.129)" }, "parent_node_id": "node_1861", "improvement_over_parent": null }, "node_1863": { "node_id": "node_1863", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 193.90 kg\n Factor of Safety: 1.27\n Max Deflection: 2.26e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 193.89568417361056, "fos_buckling": 1.2711428162331193, "fos_yielding": 3.5015125459334193, "deflection": 0.0022569257249644196, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.319)" }, "parent_node_id": "node_1862", "improvement_over_parent": null }, "node_1864": { "node_id": "node_1864", "content": "MODIFICATION: Increase 4 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 195.07 kg\n Factor of Safety: 1.27\n Max Deflection: 2.22e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 195.0745483923797, "fos_buckling": 1.2709905236387378, "fos_yielding": 3.501093038051952, "deflection": 0.002220414184896262, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.214)" }, "parent_node_id": "node_1863", "improvement_over_parent": null }, "node_1865": { "node_id": "node_1865", "content": "MODIFICATION: Increase 9 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 200.04 kg\n Factor of Safety: 1.27\n Max Deflection: 2.18e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 200.03694660386236, "fos_buckling": 1.2707768945842015, "fos_yielding": 3.5005045716695133, "deflection": 0.002179817656812182, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.316)" }, "parent_node_id": "node_1864", "improvement_over_parent": null }, "node_1866": { "node_id": "node_1866", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n\nPerformance:\n Mass: 203.87 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.86935537058113, "fos_buckling": 1.5432833754812767, "fos_yielding": 4.251155756983913, "deflection": 0.0020076428089823425, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002592)" }, "parent_node_id": "node_1865", "improvement_over_parent": null }, "node_1867": { "node_id": "node_1867", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1866", "improvement_over_parent": null }, "node_1868": { "node_id": "node_1868", "content": "INITIAL DESIGN (Trace 265)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0031)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0022)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0018)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0026)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0037)]\n\nPerformance:\n Mass: 134.66 kg\n Factor of Safety: 1.06\n Max Deflection: 2.99e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 134.66213398477475, "fos_buckling": 1.0629932466668075, "fos_yielding": 2.881126877495335, "deflection": 0.0029902701880807434, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1869": { "node_id": "node_1869", "content": "MODIFICATION: Increase 13 thickness by 45%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0031)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0022)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0026)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0037)]\n\nPerformance:\n Mass: 137.78 kg\n Factor of Safety: 1.11\n Max Deflection: 2.96e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 137.7843698386851, "fos_buckling": 1.1083708918844284, "fos_yielding": 2.8846001560833003, "deflection": 0.0029582151969617465, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.447)" }, "parent_node_id": "node_1868", "improvement_over_parent": null }, "node_1870": { "node_id": "node_1870", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nPerformance:\n Mass: 164.57 kg\n Factor of Safety: 1.29\n Max Deflection: 2.48e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 164.5709397682973, "fos_buckling": 1.2921390518952889, "fos_yielding": 3.4398404811096626, "deflection": 0.002480896274641747, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.209)" }, "parent_node_id": "node_1869", "improvement_over_parent": null }, "node_1871": { "node_id": "node_1871", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.99 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.99019505905522, "fos_buckling": 1.5440305214657977, "fos_yielding": 4.253687913398903, "deflection": 0.002006446071075174, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.263)" }, "parent_node_id": "node_1870", "improvement_over_parent": null }, "node_1872": { "node_id": "node_1872", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1871", "improvement_over_parent": null }, "node_1873": { "node_id": "node_1873", "content": "INITIAL DESIGN (Trace 266)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 166.17 kg\n Factor of Safety: 0.27\n Max Deflection: 6.20e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 166.17435683667233, "fos_buckling": 0.271797126969986, "fos_yielding": 1.732938778531082, "deflection": 0.006195502147728734, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1874": { "node_id": "node_1874", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n\nPerformance:\n Mass: 168.99 kg\n Factor of Safety: 0.27\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": 168.98858872579237, "fos_buckling": 0.2717712374022337, "fos_yielding": 1.7327737104289371, "deflection": 0.006035569740420404, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.002221)" }, "parent_node_id": "node_1873", "improvement_over_parent": null }, "node_1875": { "node_id": "node_1875", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n\nPerformance:\n Mass: 200.30 kg\n Factor of Safety: 1.52\n Max Deflection: 2.09e-03 m\n Status: FEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 200.2981390707212, "fos_buckling": 1.524954878441535, "fos_yielding": 3.2924753660045987, "deflection": 0.0020933038451065753, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.005592)" }, "parent_node_id": "node_1874", "improvement_over_parent": null }, "node_1876": { "node_id": "node_1876", "content": "MODIFICATION: Increase 9 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0057)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n\nPerformance:\n Mass: 204.66 kg\n Factor of Safety: 1.52\n Max Deflection: 2.07e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.66011637835746, "fos_buckling": 1.5240557168881232, "fos_yielding": 3.302407919369221, "deflection": 0.0020684832131232763, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.221)" }, "parent_node_id": "node_1875", "improvement_over_parent": null }, "node_1877": { "node_id": "node_1877", "content": "MODIFICATION: Increase 1 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0057)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n\nPerformance:\n Mass: 206.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.99e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 206.6980441636252, "fos_buckling": 1.5287068154617127, "fos_yielding": 4.21083154683229, "deflection": 0.0019899229504689708, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.393)" }, "parent_node_id": "node_1876", "improvement_over_parent": null }, "node_1878": { "node_id": "node_1878", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1877", "improvement_over_parent": null }, "node_1879": { "node_id": "node_1879", "content": "INITIAL DESIGN (Trace 267)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0032)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0030)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0021)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0020)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0025)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0025)]\n\nPerformance:\n Mass: 120.88 kg\n Factor of Safety: 0.66\n Max Deflection: 3.86e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 120.88219988208243, "fos_buckling": 0.662085788104484, "fos_yielding": 2.1882213513264324, "deflection": 0.0038600844252228983, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1880": { "node_id": "node_1880", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0038)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0035)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0025)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0024)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0030)]\n\nPerformance:\n Mass: 143.33 kg\n Factor of Safety: 0.77\n Max Deflection: 3.26e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 143.32739322951448, "fos_buckling": 0.7743927683098863, "fos_yielding": 2.597609775599015, "deflection": 0.0032570305134299172, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.198)" }, "parent_node_id": "node_1879", "improvement_over_parent": null }, "node_1881": { "node_id": "node_1881", "content": "MODIFICATION: Increase 14 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0038)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0035)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0025)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0024)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0042)]\n\nPerformance:\n Mass: 149.76 kg\n Factor of Safety: 1.02\n Max Deflection: 2.87e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 149.76221485478803, "fos_buckling": 1.0205648464189487, "fos_yielding": 2.69841157669208, "deflection": 0.0028726557157919327, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.391)" }, "parent_node_id": "node_1880", "improvement_over_parent": null }, "node_1882": { "node_id": "node_1882", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0038)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0035)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0025)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0024)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0042)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0013)]\n\nPerformance:\n Mass: 151.75 kg\n Factor of Safety: 1.06\n Max Deflection: 2.67e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 151.7522204826421, "fos_buckling": 1.0636336905119002, "fos_yielding": 3.222907580077539, "deflection": 0.0026709691037252238, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.001287)" }, "parent_node_id": "node_1881", "improvement_over_parent": null }, "node_1883": { "node_id": "node_1883", "content": "MODIFICATION: Increase 12 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0038)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0035)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0025)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0024)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0041)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0042)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0013)]\n\nPerformance:\n Mass: 156.00 kg\n Factor of Safety: 1.12\n Max Deflection: 2.64e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 155.99633449038228, "fos_buckling": 1.1193807249780554, "fos_yielding": 3.211881878588277, "deflection": 0.0026435287336181424, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.391)" }, "parent_node_id": "node_1882", "improvement_over_parent": null }, "node_1884": { "node_id": "node_1884", "content": "MODIFICATION: Increase 5 thickness by 51%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0058)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0035)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0025)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0024)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0041)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0042)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0013)]\n\nPerformance:\n Mass: 163.62 kg\n Factor of Safety: 1.10\n Max Deflection: 2.60e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 163.61653805283802, "fos_buckling": 1.0962585355500534, "fos_yielding": 3.215206098417707, "deflection": 0.0026036000962860184, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.511)" }, "parent_node_id": "node_1883", "improvement_over_parent": null }, "node_1885": { "node_id": "node_1885", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0077)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0055)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0017)]\n\nPerformance:\n Mass: 212.76 kg\n Factor of Safety: 1.37\n Max Deflection: 2.00e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 212.75574808406458, "fos_buckling": 1.368475563166905, "fos_yielding": 4.180669927242532, "deflection": 0.002003889252062379, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.333)" }, "parent_node_id": "node_1884", "improvement_over_parent": null }, "node_1886": { "node_id": "node_1886", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1885", "improvement_over_parent": null }, "node_1887": { "node_id": "node_1887", "content": "INITIAL DESIGN (Trace 268)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0035)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0038)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0020)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0046)]\n\nPerformance:\n Mass: 137.31 kg\n Factor of Safety: 0.21\n Max Deflection: 1.41e+13 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 137.31495586944718, "fos_buckling": 0.21202370200681883, "fos_yielding": 0.672977472157579, "deflection": 14072704394555.908, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1888": { "node_id": "node_1888", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0035)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0038)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0020)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0046)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0024)]\n\nPerformance:\n Mass: 148.45 kg\n Factor of Safety: 0.30\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": 148.44928510974424, "fos_buckling": 0.29762668751592336, "fos_yielding": 1.641718968194683, "deflection": 0.007785788763650028, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.002448)" }, "parent_node_id": "node_1887", "improvement_over_parent": null }, "node_1889": { "node_id": "node_1889", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0024)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n\nPerformance:\n Mass: 179.60 kg\n Factor of Safety: 0.35\n Max Deflection: 6.46e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 179.5967496756278, "fos_buckling": 0.35338805225025055, "fos_yielding": 1.9911898794459577, "deflection": 0.006455195243578878, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.229)" }, "parent_node_id": "node_1888", "improvement_over_parent": null }, "node_1890": { "node_id": "node_1890", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0024)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n\nPerformance:\n Mass: 182.41 kg\n Factor of Safety: 0.35\n Max Deflection: 5.59e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 182.41098156474783, "fos_buckling": 0.3533543194243549, "fos_yielding": 1.9909998094616985, "deflection": 0.005591432590390081, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.002221)" }, "parent_node_id": "node_1889", "improvement_over_parent": null }, "node_1891": { "node_id": "node_1891", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0024)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n\nPerformance:\n Mass: 189.64 kg\n Factor of Safety: 1.35\n Max Deflection: 2.09e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 189.64212735295624, "fos_buckling": 1.3463890331535213, "fos_yielding": 4.003319528902774, "deflection": 0.002091412449316243, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.003560)" }, "parent_node_id": "node_1890", "improvement_over_parent": null }, "node_1892": { "node_id": "node_1892", "content": "MODIFICATION: Increase 14 thickness by 63%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0024)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0036)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n\nPerformance:\n Mass: 191.16 kg\n Factor of Safety: 1.34\n Max Deflection: 2.09e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 191.16131215148332, "fos_buckling": 1.3418351036402583, "fos_yielding": 3.9840800756919736, "deflection": 0.0020863124282138033, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.634)" }, "parent_node_id": "node_1891", "improvement_over_parent": null }, "node_1893": { "node_id": "node_1893", "content": "MODIFICATION: Increase 12 thickness by 45%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0024)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0081)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0036)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n\nPerformance:\n Mass: 203.48 kg\n Factor of Safety: 1.36\n Max Deflection: 1.92e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 203.4765067400197, "fos_buckling": 1.364121105984598, "fos_yielding": 3.9589186478868426, "deflection": 0.0019150780167235357, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.453)" }, "parent_node_id": "node_1892", "improvement_over_parent": null }, "node_1894": { "node_id": "node_1894", "content": "MODIFICATION: Increase 6 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0048)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0024)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0081)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0036)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n\nPerformance:\n Mass: 205.72 kg\n Factor of Safety: 1.40\n Max Deflection: 1.90e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 205.72350851699306, "fos_buckling": 1.3990392283839002, "fos_yielding": 3.9859120142306717, "deflection": 0.0019004129095278226, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.189)" }, "parent_node_id": "node_1893", "improvement_over_parent": null }, "node_1895": { "node_id": "node_1895", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1894", "improvement_over_parent": null }, "node_1896": { "node_id": "node_1896", "content": "INITIAL DESIGN (Trace 269)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0035)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0019)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0032)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0023)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0038)]\n\nPerformance:\n Mass: 128.79 kg\n Factor of Safety: 0.94\n Max Deflection: 3.28e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 128.79485353259176, "fos_buckling": 0.9402579190665019, "fos_yielding": 2.4611677534553227, "deflection": 0.0032807689796488636, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1897": { "node_id": "node_1897", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0035)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0019)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0032)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0023)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0038)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0027)]\n\nPerformance:\n Mass: 139.61 kg\n Factor of Safety: 0.94\n Max Deflection: 3.05e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 139.60693510052252, "fos_buckling": 0.9395717882537933, "fos_yielding": 2.9678572646547647, "deflection": 0.003054647231655957, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.002671)" }, "parent_node_id": "node_1896", "improvement_over_parent": null }, "node_1898": { "node_id": "node_1898", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0035)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0019)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0032)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0023)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0038)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0027)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n\nPerformance:\n Mass: 141.58 kg\n Factor of Safety: 1.14\n Max Deflection: 2.87e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 141.57594022751354, "fos_buckling": 1.141464626203923, "fos_yielding": 2.982960908279525, "deflection": 0.002865482834558768, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.001510)" }, "parent_node_id": "node_1897", "improvement_over_parent": null }, "node_1899": { "node_id": "node_1899", "content": "MODIFICATION: Increase 7 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0035)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0019)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0032)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0023)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0038)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0027)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n\nPerformance:\n Mass: 143.40 kg\n Factor of Safety: 1.15\n Max Deflection: 2.84e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 143.39974819265205, "fos_buckling": 1.1534199469741915, "fos_yielding": 3.0142034485080846, "deflection": 0.002836769065248165, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.211)" }, "parent_node_id": "node_1898", "improvement_over_parent": null }, "node_1900": { "node_id": "node_1900", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0045)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0043)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0049)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n\nPerformance:\n Mass: 181.60 kg\n Factor of Safety: 1.41\n Max Deflection: 2.25e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 181.60028194016414, "fos_buckling": 1.4107008432666812, "fos_yielding": 3.8080775115151435, "deflection": 0.0022455075792927556, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.289)" }, "parent_node_id": "node_1899", "improvement_over_parent": null }, "node_1901": { "node_id": "node_1901", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0049)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n\nPerformance:\n Mass: 205.04 kg\n Factor of Safety: 1.56\n Max Deflection: 1.99e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 205.04263637360972, "fos_buckling": 1.558295196907868, "fos_yielding": 4.293382020156102, "deflection": 0.0019917496816645023, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.142)" }, "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "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 270)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0028)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0020)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0023)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0033)]\n\nPerformance:\n Mass: 124.58 kg\n Factor of Safety: 1.01\n Max Deflection: 3.27e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 124.5802252673016, "fos_buckling": 1.0140237641673409, "fos_yielding": 2.6102661794790367, "deflection": 0.0032690157630737254, "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: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0035)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0025)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0032)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0029)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0041)]\n\nPerformance:\n Mass: 154.75 kg\n Factor of Safety: 1.23\n Max Deflection: 2.64e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 154.75011930956185, "fos_buckling": 1.2259616264834627, "fos_yielding": 3.2365108799687627, "deflection": 0.0026366972267594705, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.259)" }, "parent_node_id": "node_1903", "improvement_over_parent": null }, "node_1905": { "node_id": "node_1905", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0048)]\n\nPerformance:\n Mass: 176.06 kg\n Factor of Safety: 1.37\n Max Deflection: 2.32e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 176.0632577859064, "fos_buckling": 1.3678621884887632, "fos_yielding": 3.6775439310547484, "deflection": 0.0023206223965682314, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.149)" }, "parent_node_id": "node_1904", "improvement_over_parent": null }, "node_1906": { "node_id": "node_1906", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.63 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.63411754413744, "fos_buckling": 1.541865930047274, "fos_yielding": 4.246393833770111, "deflection": 0.002009899493807144, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.172)" }, "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "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 271)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0013)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0015)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0009)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0009)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0015)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0011)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0014)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0014)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0019)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0014)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0018)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0023)]\n\nPerformance:\n Mass: 73.73 kg\n Factor of Safety: 0.46\n Max Deflection: 6.07e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 73.7318206253244, "fos_buckling": 0.4581041332610176, "fos_yielding": 0.9602314632781976, "deflection": 0.006066934637742966, "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 2 thickness by 62%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0013)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0015)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0009)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0015)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0011)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0014)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0014)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0019)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0014)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0018)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0023)]\n\nPerformance:\n Mass: 74.98 kg\n Factor of Safety: 0.46\n Max Deflection: 5.60e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 74.9823963495375, "fos_buckling": 0.45806483876282444, "fos_yielding": 1.5288040954657094, "deflection": 0.005596036421533637, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.616)" }, "parent_node_id": "node_1908", "improvement_over_parent": null }, "node_1910": { "node_id": "node_1910", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0016)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0020)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0012)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0014)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0018)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0025)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0018)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0023)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0030)]\n\nPerformance:\n Mass: 95.73 kg\n Factor of Safety: 0.57\n Max Deflection: 4.39e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 95.73084196953378, "fos_buckling": 0.5732941192738431, "fos_yielding": 1.9494254128756512, "deflection": 0.004389301426609155, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.290)" }, "parent_node_id": "node_1909", "improvement_over_parent": null }, "node_1911": { "node_id": "node_1911", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0016)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0020)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0012)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0014)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0018)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0025)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0018)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0023)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0030)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n\nPerformance:\n Mass: 104.36 kg\n Factor of Safety: 0.77\n Max Deflection: 3.91e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 104.35814565574032, "fos_buckling": 0.7650785417598226, "fos_yielding": 1.9503479271631645, "deflection": 0.0039119566275051774, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.002095)" }, "parent_node_id": "node_1910", "improvement_over_parent": null }, "node_1912": { "node_id": "node_1912", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0016)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0020)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0012)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0014)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0018)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0025)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0018)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0023)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0030)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0021)]\n\nPerformance:\n Mass: 112.92 kg\n Factor of Safety: 0.93\n Max Deflection: 3.60e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 112.91716930402782, "fos_buckling": 0.9286032953533635, "fos_yielding": 2.36720730408077, "deflection": 0.0036041636118004853, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.002087)" }, "parent_node_id": "node_1911", "improvement_over_parent": null }, "node_1913": { "node_id": "node_1913", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0032)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0030)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0021)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0035)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0025)]\n\nPerformance:\n Mass: 133.51 kg\n Factor of Safety: 1.08\n Max Deflection: 3.05e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 133.50632839087626, "fos_buckling": 1.078084669606913, "fos_yielding": 2.79537071287074, "deflection": 0.0030522924547497507, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.193)" }, "parent_node_id": "node_1912", "improvement_over_parent": null }, "node_1914": { "node_id": "node_1914", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0042)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0046)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n\nPerformance:\n Mass: 170.29 kg\n Factor of Safety: 1.33\n Max Deflection: 2.40e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 170.29119705553805, "fos_buckling": 1.3300739516156785, "fos_yielding": 3.557696884149151, "deflection": 0.002398505657027619, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.297)" }, "parent_node_id": "node_1913", "improvement_over_parent": null }, "node_1915": { "node_id": "node_1915", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 203.94 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93850418008006, "fos_buckling": 1.5437334511656708, "fos_yielding": 4.25205677399966, "deflection": 0.0020070162770773037, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.217)" }, "parent_node_id": "node_1914", "improvement_over_parent": null }, "node_1916": { "node_id": "node_1916", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1915", "improvement_over_parent": null }, "node_1917": { "node_id": "node_1917", "content": "INITIAL DESIGN (Trace 272)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0037)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0020)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0028)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0040)]\n\nPerformance:\n Mass: 129.67 kg\n Factor of Safety: 0.37\n Max Deflection: 4.35e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 129.67394156958423, "fos_buckling": 0.37042099166611486, "fos_yielding": 1.408980574094841, "deflection": 0.0043458439708318935, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1918": { "node_id": "node_1918", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0038)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0022)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0045)]\n\nPerformance:\n Mass: 143.79 kg\n Factor of Safety: 0.40\n Max Deflection: 3.92e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 143.79036700099144, "fos_buckling": 0.40480410175453096, "fos_yielding": 1.5660372485375673, "deflection": 0.003918658741913521, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.117)" }, "parent_node_id": "node_1917", "improvement_over_parent": null }, "node_1919": { "node_id": "node_1919", "content": "MODIFICATION: Increase 9 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0038)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0045)]\n\nPerformance:\n Mass: 145.31 kg\n Factor of Safety: 0.39\n Max Deflection: 3.84e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 145.30598846268038, "fos_buckling": 0.39235764700019926, "fos_yielding": 1.5815952473842159, "deflection": 0.0038409992306897905, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.211)" }, "parent_node_id": "node_1918", "improvement_over_parent": null }, "node_1920": { "node_id": "node_1920", "content": "MODIFICATION: Increase 2 thickness by 66%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0038)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0045)]\n\nPerformance:\n Mass: 147.70 kg\n Factor of Safety: 0.41\n Max Deflection: 3.52e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 147.69915898235973, "fos_buckling": 0.4116838363473582, "fos_yielding": 2.508314985538978, "deflection": 0.003517376932831819, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.656)" }, "parent_node_id": "node_1919", "improvement_over_parent": null }, "node_1921": { "node_id": "node_1921", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 180.92 kg\n Factor of Safety: 0.49\n Max Deflection: 2.88e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 180.92396226136114, "fos_buckling": 0.48736091003204907, "fos_yielding": 3.0687666928043185, "deflection": 0.002875067141400566, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.247)" }, "parent_node_id": "node_1920", "improvement_over_parent": null }, "node_1922": { "node_id": "node_1922", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 194.25 kg\n Factor of Safety: 0.88\n Max Deflection: 2.10e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 194.24749633300638, "fos_buckling": 0.8834698825249817, "fos_yielding": 4.037741193077232, "deflection": 0.002101287554363649, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.004024)" }, "parent_node_id": "node_1921", "improvement_over_parent": null }, "node_1923": { "node_id": "node_1923", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n\nPerformance:\n Mass: 203.89 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.8892612552894, "fos_buckling": 1.5433860416433063, "fos_yielding": 4.251838231555704, "deflection": 0.0020074449574713905, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.003423)" }, "parent_node_id": "node_1922", "improvement_over_parent": null }, "node_1924": { "node_id": "node_1924", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1923", "improvement_over_parent": null }, "node_1925": { "node_id": "node_1925", "content": "INITIAL DESIGN (Trace 273)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0014)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0046)]\n\nPerformance:\n Mass: 141.81 kg\n Factor of Safety: 0.85\n Max Deflection: 3.16e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 141.8094615761211, "fos_buckling": 0.8508745848174077, "fos_yielding": 2.6524403699509445, "deflection": 0.003161879452492679, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1926": { "node_id": "node_1926", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0014)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0046)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n\nPerformance:\n Mass: 151.37 kg\n Factor of Safety: 0.85\n Max Deflection: 3.11e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 151.3659210058083, "fos_buckling": 0.8511599207248604, "fos_yielding": 2.6517928279094694, "deflection": 0.0031139453033052914, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.002795)" }, "parent_node_id": "node_1925", "improvement_over_parent": null }, "node_1927": { "node_id": "node_1927", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0014)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0046)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n\nPerformance:\n Mass: 167.49 kg\n Factor of Safety: 1.07\n Max Deflection: 2.58e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 167.4858117561992, "fos_buckling": 1.0680066490290285, "fos_yielding": 2.6385735649819817, "deflection": 0.002583376129894324, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.003630)" }, "parent_node_id": "node_1926", "improvement_over_parent": null }, "node_1928": { "node_id": "node_1928", "content": "MODIFICATION: Increase 5 thickness by 58%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0046)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n\nPerformance:\n Mass: 168.62 kg\n Factor of Safety: 1.33\n Max Deflection: 2.57e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 168.61687319355954, "fos_buckling": 1.3278512257097512, "fos_yielding": 2.6321992653366215, "deflection": 0.0025685965979983763, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.580)" }, "parent_node_id": "node_1927", "improvement_over_parent": null }, "node_1929": { "node_id": "node_1929", "content": "MODIFICATION: Increase 1 thickness by 47%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0046)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n\nPerformance:\n Mass: 170.60 kg\n Factor of Safety: 1.37\n Max Deflection: 2.45e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 170.59814000269674, "fos_buckling": 1.3672553909873326, "fos_yielding": 2.8266380394936337, "deflection": 0.0024540879576120567, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.471)" }, "parent_node_id": "node_1928", "improvement_over_parent": null }, "node_1930": { "node_id": "node_1930", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n\nPerformance:\n Mass: 202.15 kg\n Factor of Safety: 1.57\n Max Deflection: 2.07e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 202.1528725613299, "fos_buckling": 1.5721633228368266, "fos_yielding": 3.354765903794115, "deflection": 0.002074225744342576, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.203)" }, "parent_node_id": "node_1929", "improvement_over_parent": null }, "node_1931": { "node_id": "node_1931", "content": "MODIFICATION: Increase 2 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n\nPerformance:\n Mass: 203.89 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.8942419382201, "fos_buckling": 1.543499320666013, "fos_yielding": 4.250846324183445, "deflection": 0.0020074269485824236, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.319)" }, "parent_node_id": "node_1930", "improvement_over_parent": null }, "node_1932": { "node_id": "node_1932", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1931", "improvement_over_parent": null }, "node_1933": { "node_id": "node_1933", "content": "INITIAL DESIGN (Trace 274)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0027)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0047)]\n\nPerformance:\n Mass: 149.06 kg\n Factor of Safety: 0.15\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": 149.06275331737305, "fos_buckling": 0.14856979471434298, "fos_yielding": 1.0763839883419901, "deflection": 0.015288781421376156, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1934": { "node_id": "node_1934", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0027)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0047)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n\nPerformance:\n Mass: 157.22 kg\n Factor of Safety: 0.41\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": 157.21532763801332, "fos_buckling": 0.41237352377848174, "fos_yielding": 1.9705512712763695, "deflection": 0.006287255083310911, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.002851)" }, "parent_node_id": "node_1933", "improvement_over_parent": null }, "node_1935": { "node_id": "node_1935", "content": "MODIFICATION: Increase 9 thickness by 43%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0027)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0040)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0047)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n\nPerformance:\n Mass: 160.87 kg\n Factor of Safety: 0.41\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": 160.86922454844304, "fos_buckling": 0.41232236529710964, "fos_yielding": 1.9700637649055137, "deflection": 0.0061746052090833215, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.427)" }, "parent_node_id": "node_1934", "improvement_over_parent": null }, "node_1936": { "node_id": "node_1936", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0027)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0040)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0047)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n\nPerformance:\n Mass: 166.99 kg\n Factor of Safety: 1.09\n Max Deflection: 2.45e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 166.98520028357092, "fos_buckling": 1.0853404042998627, "fos_yielding": 3.033240434255271, "deflection": 0.0024491340017772593, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.002966)" }, "parent_node_id": "node_1935", "improvement_over_parent": null }, "node_1937": { "node_id": "node_1937", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0033)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0048)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n\nPerformance:\n Mass: 197.42 kg\n Factor of Safety: 1.26\n Max Deflection: 2.07e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 197.4167759584141, "fos_buckling": 1.2596413439142935, "fos_yielding": 3.5949866328704387, "deflection": 0.0020748638780717994, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.200)" }, "parent_node_id": "node_1936", "improvement_over_parent": null }, "node_1938": { "node_id": "node_1938", "content": "MODIFICATION: Increase 6 thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0052)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0033)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0048)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n\nPerformance:\n Mass: 200.73 kg\n Factor of Safety: 1.25\n Max Deflection: 2.05e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 200.7346542650754, "fos_buckling": 1.2528848322645727, "fos_yielding": 3.601377264220764, "deflection": 0.002051664340369949, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.282)" }, "parent_node_id": "node_1937", "improvement_over_parent": null }, "node_1939": { "node_id": "node_1939", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1938", "improvement_over_parent": null }, "node_1940": { "node_id": "node_1940", "content": "INITIAL DESIGN (Trace 275)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0038)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0022)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0033)]\n\nPerformance:\n Mass: 140.48 kg\n Factor of Safety: 0.39\n Max Deflection: 8.20e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 140.48059000964636, "fos_buckling": 0.3897207607281165, "fos_yielding": 1.9196529140814174, "deflection": 0.008201605881095314, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1941": { "node_id": "node_1941", "content": "MODIFICATION: Increase 11 thickness by 46%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0038)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0033)]\n\nPerformance:\n Mass: 144.29 kg\n Factor of Safety: 0.40\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": 144.29089869526965, "fos_buckling": 0.40323616715829746, "fos_yielding": 1.9186602667558645, "deflection": 0.007999493583042657, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.456)" }, "parent_node_id": "node_1940", "improvement_over_parent": null }, "node_1942": { "node_id": "node_1942", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0041)]\n\nPerformance:\n Mass: 175.68 kg\n Factor of Safety: 0.47\n Max Deflection: 6.61e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 175.67801303246569, "fos_buckling": 0.4745304335917303, "fos_yielding": 2.328961417278005, "deflection": 0.006607181880566834, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.238)" }, "parent_node_id": "node_1941", "improvement_over_parent": null }, "node_1943": { "node_id": "node_1943", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0041)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 189.00 kg\n Factor of Safety: 0.47\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": 189.00154710411093, "fos_buckling": 0.4736729988882248, "fos_yielding": 2.3247679057337867, "deflection": 0.0052269797595549, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.004024)" }, "parent_node_id": "node_1942", "improvement_over_parent": null }, "node_1944": { "node_id": "node_1944", "content": "MODIFICATION: Increase 14 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0041)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0055)]\n\nPerformance:\n Mass: 193.17 kg\n Factor of Safety: 0.47\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": 193.17121639588353, "fos_buckling": 0.47340529648303953, "fos_yielding": 2.3234586253333576, "deflection": 0.005199672504845369, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.357)" }, "parent_node_id": "node_1943", "improvement_over_parent": null }, "node_1945": { "node_id": "node_1945", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0041)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0055)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n\nPerformance:\n Mass: 200.40 kg\n Factor of Safety: 1.30\n Max Deflection: 2.14e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 200.40236218409194, "fos_buckling": 1.2973331947270086, "fos_yielding": 4.405410483694511, "deflection": 0.0021424820813068708, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.003560)" }, "parent_node_id": "node_1944", "improvement_over_parent": null }, "node_1946": { "node_id": "node_1946", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1945", "improvement_over_parent": null }, "node_1947": { "node_id": "node_1947", "content": "INITIAL DESIGN (Trace 276)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0025)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 184.10 kg\n Factor of Safety: 0.82\n Max Deflection: 2.20e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 184.09762259056777, "fos_buckling": 0.816863016689503, "fos_yielding": 3.9381913869135263, "deflection": 0.002200657549273405, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1948": { "node_id": "node_1948", "content": "MODIFICATION: Increase 13 thickness by 56%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 189.35 kg\n Factor of Safety: 0.81\n Max Deflection: 2.19e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 189.35381246696585, "fos_buckling": 0.8087453550028858, "fos_yielding": 4.007461584331601, "deflection": 0.0021886206975438175, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.565)" }, "parent_node_id": "node_1947", "improvement_over_parent": null }, "node_1949": { "node_id": "node_1949", "content": "MODIFICATION: Increase 7 thickness by 65%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 194.30 kg\n Factor of Safety: 0.88\n Max Deflection: 2.10e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 194.29883242906266, "fos_buckling": 0.8836650468229349, "fos_yielding": 4.038819429793673, "deflection": 0.00210080077540626, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.647)" }, "parent_node_id": "node_1948", "improvement_over_parent": null }, "node_1950": { "node_id": "node_1950", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n\nPerformance:\n Mass: 203.94 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.94059735134567, "fos_buckling": 1.5437419245987, "fos_yielding": 4.252686240903639, "deflection": 0.0020069570950944186, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.003423)" }, "parent_node_id": "node_1949", "improvement_over_parent": null }, "node_1951": { "node_id": "node_1951", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1950", "improvement_over_parent": null }, "node_1952": { "node_id": "node_1952", "content": "INITIAL DESIGN (Trace 277)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\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_1953": { "node_id": "node_1953", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M12: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n\nPerformance:\n Mass: 166.56 kg\n Factor of Safety: 1.13\n Max Deflection: 2.64e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 166.5646700478395, "fos_buckling": 1.132794014136785, "fos_yielding": 3.2826082449527063, "deflection": 0.00264375893596657, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.003363)" }, "parent_node_id": "node_1952", "improvement_over_parent": null }, "node_1954": { "node_id": "node_1954", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M12: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 182.02 kg\n Factor of Safety: 0.99\n Max Deflection: 2.55e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 182.0155745615803, "fos_buckling": 0.992357902695475, "fos_yielding": 3.2791663320381055, "deflection": 0.0025514610944135036, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003928)" }, "parent_node_id": "node_1953", "improvement_over_parent": null }, "node_1955": { "node_id": "node_1955", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M12: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n\nPerformance:\n Mass: 184.83 kg\n Factor of Safety: 0.99\n Max Deflection: 2.51e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 184.82980645070035, "fos_buckling": 0.9924552437164311, "fos_yielding": 3.278853235132724, "deflection": 0.0025100279015915924, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.002221)" }, "parent_node_id": "node_1954", "improvement_over_parent": null }, "node_1956": { "node_id": "node_1956", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M12: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93352577349376, "fos_buckling": 1.5436933002897366, "fos_yielding": 4.252552291098683, "deflection": 0.0020069827739393306, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.004368)" }, "parent_node_id": "node_1955", "improvement_over_parent": null }, "node_1957": { "node_id": "node_1957", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1956", "improvement_over_parent": null }, "node_1958": { "node_id": "node_1958", "content": "INITIAL DESIGN (Trace 278)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0011)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0020)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0025)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0023)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0033)]\n\nPerformance:\n Mass: 109.26 kg\n Factor of Safety: 0.22\n Max Deflection: 5.25e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 109.26345331783291, "fos_buckling": 0.22142387677357223, "fos_yielding": 1.5390261720411638, "deflection": 0.005253938540954997, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1959": { "node_id": "node_1959", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0025)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0042)]\n\nPerformance:\n Mass: 139.78 kg\n Factor of Safety: 0.27\n Max Deflection: 4.12e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 139.77860686304908, "fos_buckling": 0.27422922648331893, "fos_yielding": 1.9617536609906157, "deflection": 0.004119870126748154, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.299)" }, "parent_node_id": "node_1958", "improvement_over_parent": null }, "node_1960": { "node_id": "node_1960", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0025)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0042)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n\nPerformance:\n Mass: 156.93 kg\n Factor of Safety: 1.20\n Max Deflection: 2.60e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 156.92740017568022, "fos_buckling": 1.1951376156524691, "fos_yielding": 3.2703682943388075, "deflection": 0.0025973778291376558, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.003558)" }, "parent_node_id": "node_1959", "improvement_over_parent": null }, "node_1961": { "node_id": "node_1961", "content": "MODIFICATION: Increase 5 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0025)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0042)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n\nPerformance:\n Mass: 157.61 kg\n Factor of Safety: 1.25\n Max Deflection: 2.59e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 157.6058530659134, "fos_buckling": 1.2454309262781025, "fos_yielding": 3.2959093775027433, "deflection": 0.002589342529489367, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.318)" }, "parent_node_id": "node_1960", "improvement_over_parent": null }, "node_1962": { "node_id": "node_1962", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0032)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0046)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0031)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0031)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0050)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0042)]\n\nPerformance:\n Mass: 184.58 kg\n Factor of Safety: 1.42\n Max Deflection: 2.21e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 184.58273573694476, "fos_buckling": 1.4228683739266175, "fos_yielding": 3.853796709655527, "deflection": 0.0022146610336619453, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.186)" }, "parent_node_id": "node_1961", "improvement_over_parent": null }, "node_1963": { "node_id": "node_1963", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n\nPerformance:\n Mass: 204.06 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.0645770935312, "fos_buckling": 1.5445914930235178, "fos_yielding": 4.2555605154679546, "deflection": 0.002005680818311603, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.116)" }, "parent_node_id": "node_1962", "improvement_over_parent": null }, "node_1964": { "node_id": "node_1964", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1963", "improvement_over_parent": null }, "node_1965": { "node_id": "node_1965", "content": "INITIAL DESIGN (Trace 279)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0025)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n\nPerformance:\n Mass: 127.26 kg\n Factor of Safety: 0.32\n Max Deflection: 6.79e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 127.2584416521156, "fos_buckling": 0.32031367907751157, "fos_yielding": 0.8973032962101049, "deflection": 6789934348156.191, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1966": { "node_id": "node_1966", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0025)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n\nPerformance:\n Mass: 130.23 kg\n Factor of Safety: 0.26\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": 130.22628852448557, "fos_buckling": 0.2562184264535122, "fos_yielding": 1.349791086007178, "deflection": 0.007911039190825128, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.001964)" }, "parent_node_id": "node_1965", "improvement_over_parent": null }, "node_1967": { "node_id": "node_1967", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0025)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0042)]\n\nPerformance:\n Mass: 154.47 kg\n Factor of Safety: 1.06\n Max Deflection: 2.65e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 154.4718155603369, "fos_buckling": 1.0553542196527739, "fos_yielding": 3.21704866610073, "deflection": 0.0026501134671088737, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.004237)" }, "parent_node_id": "node_1966", "improvement_over_parent": null }, "node_1968": { "node_id": "node_1968", "content": "MODIFICATION: Increase 8 thickness by 54%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0040)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0025)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0042)]\n\nPerformance:\n Mass: 158.08 kg\n Factor of Safety: 1.03\n Max Deflection: 2.64e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 158.0791885905742, "fos_buckling": 1.026938594366109, "fos_yielding": 3.2616765681834394, "deflection": 0.0026366561673445673, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.543)" }, "parent_node_id": "node_1967", "improvement_over_parent": null }, "node_1969": { "node_id": "node_1969", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0053)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n\nPerformance:\n Mass: 203.91 kg\n Factor of Safety: 1.30\n Max Deflection: 2.05e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 203.90625644578486, "fos_buckling": 1.300270050527435, "fos_yielding": 4.200026427524775, "deflection": 0.0020475018994588444, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.319)" }, "parent_node_id": "node_1968", "improvement_over_parent": null }, "node_1970": { "node_id": "node_1970", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1969", "improvement_over_parent": null }, "node_1971": { "node_id": "node_1971", "content": "INITIAL DESIGN (Trace 280)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n\nPerformance:\n Mass: 165.07 kg\n Factor of Safety: 0.32\n Max Deflection: 6.00e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 165.07237007082043, "fos_buckling": 0.31706754876654986, "fos_yielding": 1.7388547766909714, "deflection": 0.005995266319898086, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1972": { "node_id": "node_1972", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0027)]\n\nPerformance:\n Mass: 181.04 kg\n Factor of Safety: 0.97\n Max Deflection: 2.51e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 181.04078506524078, "fos_buckling": 0.9675490906239441, "fos_yielding": 3.2172021943417826, "deflection": 0.0025102597878083072, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.002725)" }, "parent_node_id": "node_1971", "improvement_over_parent": null }, "node_1973": { "node_id": "node_1973", "content": "MODIFICATION: Increase 13 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0027)]\n\nPerformance:\n Mass: 183.30 kg\n Factor of Safety: 0.97\n Max Deflection: 2.50e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 183.29992920055196, "fos_buckling": 0.9653083797846165, "fos_yielding": 3.209751595815023, "deflection": 0.002499766663875334, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.232)" }, "parent_node_id": "node_1972", "improvement_over_parent": null }, "node_1974": { "node_id": "node_1974", "content": "MODIFICATION: Increase 14 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0027)]\n\nPerformance:\n Mass: 185.76 kg\n Factor of Safety: 0.98\n Max Deflection: 2.48e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 185.7612965842987, "fos_buckling": 0.9831068165360423, "fos_yielding": 3.2689332645566207, "deflection": 0.0024764941378374343, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.208)" }, "parent_node_id": "node_1973", "improvement_over_parent": null }, "node_1975": { "node_id": "node_1975", "content": "MODIFICATION: Increase 15 thickness by 55%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0042)]\n\nPerformance:\n Mass: 193.97 kg\n Factor of Safety: 1.30\n Max Deflection: 2.17e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 193.96768209634874, "fos_buckling": 1.299579106818929, "fos_yielding": 4.27142593671333, "deflection": 0.002172609706813238, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(15, thickness, 1.550)" }, "parent_node_id": "node_1974", "improvement_over_parent": null }, "node_1976": { "node_id": "node_1976", "content": "MODIFICATION: Increase 15 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n\nPerformance:\n Mass: 201.08 kg\n Factor of Safety: 1.53\n Max Deflection: 2.02e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 201.08217882527728, "fos_buckling": 1.5345109820937333, "fos_yielding": 4.264143555652306, "deflection": 0.0020192044754396518, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(15, thickness, 1.323)" }, "parent_node_id": "node_1975", "improvement_over_parent": null }, "node_1977": { "node_id": "node_1977", "content": "MODIFICATION: Increase 13 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n\nPerformance:\n Mass: 203.92 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.92438258767518, "fos_buckling": 1.543214395193017, "fos_yielding": 4.253048091925391, "deflection": 0.002007265560238101, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.245)" }, "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "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 281)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0032)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0021)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0024)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0035)]\n\nPerformance:\n Mass: 105.33 kg\n Factor of Safety: 0.23\n Max Deflection: 4.58e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 105.32883377444703, "fos_buckling": 0.2339818812784933, "fos_yielding": 1.6366393919702322, "deflection": 0.004577117783431179, "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: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0032)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0021)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0024)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0035)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0029)]\n\nPerformance:\n Mass: 119.58 kg\n Factor of Safety: 0.65\n Max Deflection: 3.53e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 119.57679924937678, "fos_buckling": 0.654235130587276, "fos_yielding": 2.1575381228307764, "deflection": 0.0035319628108781303, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.002921)" }, "parent_node_id": "node_1979", "improvement_over_parent": null }, "node_1981": { "node_id": "node_1981", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n\nPerformance:\n Mass: 144.92 kg\n Factor of Safety: 0.77\n Max Deflection: 2.92e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 144.9210211097341, "fos_buckling": 0.7744034206429944, "fos_yielding": 2.619002207304111, "deflection": 0.0029176557440610444, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.227)" }, "parent_node_id": "node_1980", "improvement_over_parent": null }, "node_1982": { "node_id": "node_1982", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0032)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0046)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0031)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0050)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0042)]\n\nPerformance:\n Mass: 167.75 kg\n Factor of Safety: 0.88\n Max Deflection: 2.52e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 167.7545800084712, "fos_buckling": 0.8771390696169676, "fos_yielding": 3.0364209072036776, "deflection": 0.002523116931835166, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.171)" }, "parent_node_id": "node_1981", "improvement_over_parent": null }, "node_1983": { "node_id": "node_1983", "content": "MODIFICATION: Increase 2 thickness by 37%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0032)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0046)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0031)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0050)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0042)]\n\nPerformance:\n Mass: 169.53 kg\n Factor of Safety: 0.88\n Max Deflection: 2.44e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 169.52514462527927, "fos_buckling": 0.877032678056979, "fos_yielding": 3.1546062918192757, "deflection": 0.002442721763480269, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.370)" }, "parent_node_id": "node_1982", "improvement_over_parent": null }, "node_1984": { "node_id": "node_1984", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0032)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0046)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0031)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0050)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0042)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n\nPerformance:\n Mass: 183.55 kg\n Factor of Safety: 1.42\n Max Deflection: 2.23e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 183.54572055340327, "fos_buckling": 1.4161255911714206, "fos_yielding": 3.832617314405691, "deflection": 0.0022270374039761176, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.003515)" }, "parent_node_id": "node_1983", "improvement_over_parent": null }, "node_1985": { "node_id": "node_1985", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n\nPerformance:\n Mass: 203.92 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.92266644805676, "fos_buckling": 1.5436047583848196, "fos_yielding": 4.2528929822362, "deflection": 0.00200706638155346, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.122)" }, "parent_node_id": "node_1984", "improvement_over_parent": null }, "node_1986": { "node_id": "node_1986", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1985", "improvement_over_parent": null }, "node_1987": { "node_id": "node_1987", "content": "INITIAL DESIGN (Trace 282)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\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_1988": { "node_id": "node_1988", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M12: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n\nPerformance:\n Mass: 166.99 kg\n Factor of Safety: 1.13\n Max Deflection: 3.31e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 166.98947542407055, "fos_buckling": 1.1279682414542038, "fos_yielding": 3.2686241304549086, "deflection": 0.0033108186499245427, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002592)" }, "parent_node_id": "node_1987", "improvement_over_parent": null }, "node_1989": { "node_id": "node_1989", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M12: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 182.44 kg\n Factor of Safety: 0.99\n Max Deflection: 3.35e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 182.44037993781134, "fos_buckling": 0.9863193565417872, "fos_yielding": 3.265211465356851, "deflection": 0.003350793217529734, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003928)" }, "parent_node_id": "node_1988", "improvement_over_parent": null }, "node_1990": { "node_id": "node_1990", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M12: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n\nPerformance:\n Mass: 193.77 kg\n Factor of Safety: 0.76\n Max Deflection: 2.11e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 193.7650219399182, "fos_buckling": 0.7592624821200025, "fos_yielding": 4.017901442140252, "deflection": 0.0021108912040139613, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.003363)" }, "parent_node_id": "node_1989", "improvement_over_parent": null }, "node_1991": { "node_id": "node_1991", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M12: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n\nPerformance:\n Mass: 203.41 kg\n Factor of Safety: 1.40\n Max Deflection: 2.01e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 203.40678686220122, "fos_buckling": 1.4047362846232228, "fos_yielding": 4.252020981204936, "deflection": 0.002011034763530009, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.003423)" }, "parent_node_id": "node_1990", "improvement_over_parent": null }, "node_1992": { "node_id": "node_1992", "content": "MODIFICATION: Increase 3 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M12: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93392132658153, "fos_buckling": 1.5436993997887123, "fos_yielding": 4.252569093943094, "deflection": 0.002006980635355097, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.253)" }, "parent_node_id": "node_1991", "improvement_over_parent": null }, "node_1993": { "node_id": "node_1993", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1992", "improvement_over_parent": null }, "node_1994": { "node_id": "node_1994", "content": "INITIAL DESIGN (Trace 283)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 150.82 kg\n Factor of Safety: 0.56\n Max Deflection: 6.46e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 150.8225049233889, "fos_buckling": 0.5640939906081216, "fos_yielding": 3.7337354932178184, "deflection": 6458507099072.3955, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1995": { "node_id": "node_1995", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n\nPerformance:\n Mass: 169.93 kg\n Factor of Safety: 0.47\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": 169.9262242461823, "fos_buckling": 0.47419512745332004, "fos_yielding": 2.0928007041154886, "deflection": 0.0065340318497740316, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.004368)" }, "parent_node_id": "node_1994", "improvement_over_parent": null }, "node_1996": { "node_id": "node_1996", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n\nPerformance:\n Mass: 181.25 kg\n Factor of Safety: 0.47\n Max Deflection: 5.72e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 181.25086624828916, "fos_buckling": 0.47401296135383825, "fos_yielding": 2.3263519504896863, "deflection": 0.005722409157920388, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.003363)" }, "parent_node_id": "node_1995", "improvement_over_parent": null }, "node_1997": { "node_id": "node_1997", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 196.70 kg\n Factor of Safety: 0.47\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": 196.70177076202995, "fos_buckling": 0.4735165918448465, "fos_yielding": 2.3239243938478027, "deflection": 0.005185365377201242, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003928)" }, "parent_node_id": "node_1996", "improvement_over_parent": null }, "node_1998": { "node_id": "node_1998", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93291655023836, "fos_buckling": 1.543694278277184, "fos_yielding": 4.252554985249627, "deflection": 0.0020069954351242822, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.003560)" }, "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "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 284)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0016)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0013)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0024)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0028)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0040)]\n\nPerformance:\n Mass: 128.08 kg\n Factor of Safety: 0.07\n Max Deflection: 1.63e+13 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 128.07517173269045, "fos_buckling": 0.06672455213254616, "fos_yielding": 0.33648873607878943, "deflection": 16303316439879.262, "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 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0016)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0048)]\n\nPerformance:\n Mass: 152.47 kg\n Factor of Safety: 0.26\n Max Deflection: 5.49e+12 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 152.4734586709062, "fos_buckling": 0.2622979498114131, "fos_yielding": 1.3459549443151577, "deflection": 5489442694857.459, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.206)" }, "parent_node_id": "node_2000", "improvement_over_parent": null }, "node_2002": { "node_id": "node_2002", "content": "MODIFICATION: Increase 8 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0016)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0048)]\n\nPerformance:\n Mass: 153.91 kg\n Factor of Safety: 0.26\n Max Deflection: 5.49e+12 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 153.90854254877416, "fos_buckling": 0.2622979498114131, "fos_yielding": 1.3459549443151577, "deflection": 5489442694857.459, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.225)" }, "parent_node_id": "node_2001", "improvement_over_parent": null }, "node_2003": { "node_id": "node_2003", "content": "MODIFICATION: Increase 4 thickness by 40%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0048)]\n\nPerformance:\n Mass: 154.82 kg\n Factor of Safety: 0.06\n Max Deflection: 1.57e+13 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 154.8152902058884, "fos_buckling": 0.0629489661887029, "fos_yielding": 0.33648873607878943, "deflection": 15733661382877.807, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.403)" }, "parent_node_id": "node_2002", "improvement_over_parent": null }, "node_2004": { "node_id": "node_2004", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 177.50 kg\n Factor of Safety: 0.72\n Max Deflection: 1.71e+12 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 177.50424706965302, "fos_buckling": 0.723044983157732, "fos_yielding": 1.700236014477599, "deflection": 1710995617749.1038, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.161)" }, "parent_node_id": "node_2003", "improvement_over_parent": null }, "node_2005": { "node_id": "node_2005", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n\nPerformance:\n Mass: 184.74 kg\n Factor of Safety: 0.99\n Max Deflection: 2.51e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 184.73539285786143, "fos_buckling": 0.9920846919737728, "fos_yielding": 3.2786502261915205, "deflection": 0.00251111158674373, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.003560)" }, "parent_node_id": "node_2004", "improvement_over_parent": null }, "node_2006": { "node_id": "node_2006", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n\nPerformance:\n Mass: 203.84 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.83911218065484, "fos_buckling": 1.5430295626786064, "fos_yielding": 4.250346400887184, "deflection": 0.0020078505234056715, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.004368)" }, "parent_node_id": "node_2005", "improvement_over_parent": null }, "node_2007": { "node_id": "node_2007", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2006", "improvement_over_parent": null }, "node_2008": { "node_id": "node_2008", "content": "INITIAL DESIGN (Trace 285)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0045)]\n\nPerformance:\n Mass: 171.64 kg\n Factor of Safety: 1.07\n Max Deflection: 2.79e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 171.63503571918756, "fos_buckling": 1.0716722525948705, "fos_yielding": 3.2817915872322487, "deflection": 0.0027920703946615394, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2009": { "node_id": "node_2009", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0045)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n\nPerformance:\n Mass: 190.74 kg\n Factor of Safety: 1.07\n Max Deflection: 2.38e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 190.73875504198097, "fos_buckling": 1.0695906335949796, "fos_yielding": 3.5039328311030764, "deflection": 0.0023752065162375062, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.004368)" }, "parent_node_id": "node_2008", "improvement_over_parent": null }, "node_2010": { "node_id": "node_2010", "content": "MODIFICATION: Increase 6 thickness by 63%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0045)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n\nPerformance:\n Mass: 194.26 kg\n Factor of Safety: 1.07\n Max Deflection: 2.36e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 194.2585343143006, "fos_buckling": 1.0693355047954975, "fos_yielding": 3.5030970401484938, "deflection": 0.0023646572998460144, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.631)" }, "parent_node_id": "node_2009", "improvement_over_parent": null }, "node_2011": { "node_id": "node_2011", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0045)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n\nPerformance:\n Mass: 198.09 kg\n Factor of Safety: 1.34\n Max Deflection: 2.13e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 198.09094308101936, "fos_buckling": 1.3429883817931456, "fos_yielding": 4.3405896528192045, "deflection": 0.0021280984627836948, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002592)" }, "parent_node_id": "node_2010", "improvement_over_parent": null }, "node_2012": { "node_id": "node_2012", "content": "MODIFICATION: Increase 15 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0045)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0032)]\n\nPerformance:\n Mass: 198.95 kg\n Factor of Safety: 1.35\n Max Deflection: 2.12e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 198.94677282188584, "fos_buckling": 1.3509010556589711, "fos_yielding": 4.336346637031271, "deflection": 0.002122742006107707, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(15, thickness, 1.252)" }, "parent_node_id": "node_2011", "improvement_over_parent": null }, "node_2013": { "node_id": "node_2013", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2012", "improvement_over_parent": null }, "node_2014": { "node_id": "node_2014", "content": "INITIAL DESIGN (Trace 286)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0016)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0035)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0025)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0029)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0042)]\n\nPerformance:\n Mass: 149.44 kg\n Factor of Safety: 0.98\n Max Deflection: 2.68e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 149.43585228926213, "fos_buckling": 0.9760908134191617, "fos_yielding": 2.634973453094419, "deflection": 0.0026759813064103515, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2015": { "node_id": "node_2015", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0031)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0047)]\n\nPerformance:\n Mass: 164.98 kg\n Factor of Safety: 1.07\n Max Deflection: 2.43e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 164.976816371367, "fos_buckling": 1.0681902578794464, "fos_yielding": 2.9127107957448035, "deflection": 0.0024264562112898294, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.112)" }, "parent_node_id": "node_2014", "improvement_over_parent": null }, "node_2016": { "node_id": "node_2016", "content": "MODIFICATION: Increase 6 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0047)]\n\nPerformance:\n Mass: 169.80 kg\n Factor of Safety: 1.26\n Max Deflection: 2.38e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 169.80399984636375, "fos_buckling": 1.2573657541380532, "fos_yielding": 3.5959335193505377, "deflection": 0.0023826829565191006, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.387)" }, "parent_node_id": "node_2015", "improvement_over_parent": null }, "node_2017": { "node_id": "node_2017", "content": "MODIFICATION: Increase 7 thickness by 57%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0047)]\n\nPerformance:\n Mass: 172.62 kg\n Factor of Safety: 1.35\n Max Deflection: 2.37e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 172.61543047793015, "fos_buckling": 1.345309451795767, "fos_yielding": 3.606163798668925, "deflection": 0.0023664947563885506, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.567)" }, "parent_node_id": "node_2016", "improvement_over_parent": null }, "node_2018": { "node_id": "node_2018", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.89 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.89031942840077, "fos_buckling": 1.5433943576989912, "fos_yielding": 4.2515429713006165, "deflection": 0.0020074334616785867, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.199)" }, "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "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 287)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0019)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0017)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nPerformance:\n Mass: 124.72 kg\n Factor of Safety: 0.21\n Max Deflection: 5.19e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 124.72046147408736, "fos_buckling": 0.21492660073412406, "fos_yielding": 1.4893440224386898, "deflection": 0.00519442922878631, "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: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0021)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 157.13 kg\n Factor of Safety: 0.26\n Max Deflection: 4.12e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 157.13369980803995, "fos_buckling": 0.26394166078253845, "fos_yielding": 1.8781384182596554, "deflection": 0.004124556713817363, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.284)" }, "parent_node_id": "node_2020", "improvement_over_parent": null }, "node_2022": { "node_id": "node_2022", "content": "MODIFICATION: Increase 8 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0021)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 159.03 kg\n Factor of Safety: 0.26\n Max Deflection: 4.13e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 159.03490028620502, "fos_buckling": 0.26387413558384365, "fos_yielding": 1.877657926966643, "deflection": 0.0041346255655635685, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.183)" }, "parent_node_id": "node_2021", "improvement_over_parent": null }, "node_2023": { "node_id": "node_2023", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0021)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n\nPerformance:\n Mass: 181.24 kg\n Factor of Safety: 1.27\n Max Deflection: 2.20e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 181.2378849699188, "fos_buckling": 1.2720306277880327, "fos_yielding": 3.5039905958924313, "deflection": 0.0021995880973833533, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.004709)" }, "parent_node_id": "node_2022", "improvement_over_parent": null }, "node_2024": { "node_id": "node_2024", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0021)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 196.69 kg\n Factor of Safety: 1.47\n Max Deflection: 2.04e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 196.6887894836596, "fos_buckling": 1.4708532788896735, "fos_yielding": 4.180298378899498, "deflection": 0.0020436608694879926, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003928)" }, "parent_node_id": "node_2023", "improvement_over_parent": null }, "node_2025": { "node_id": "node_2025", "content": "MODIFICATION: Increase 11 thickness by 57%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0021)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0069)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 206.10 kg\n Factor of Safety: 1.44\n Max Deflection: 2.00e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 206.09790511510397, "fos_buckling": 1.437513441436683, "fos_yielding": 4.1947185815799575, "deflection": 0.0020032508248578936, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.575)" }, "parent_node_id": "node_2024", "improvement_over_parent": null }, "node_2026": { "node_id": "node_2026", "content": "MODIFICATION: Increase 3 thickness by 38%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0021)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0069)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 206.82 kg\n Factor of Safety: 1.44\n Max Deflection: 2.00e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 206.82299663597811, "fos_buckling": 1.4363351429273938, "fos_yielding": 4.195292825296465, "deflection": 0.0019986633936868122, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.381)" }, "parent_node_id": "node_2025", "improvement_over_parent": null }, "node_2027": { "node_id": "node_2027", "content": "MODIFICATION: Increase 9 thickness by 40%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0021)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0069)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 209.40 kg\n Factor of Safety: 1.55\n Max Deflection: 1.98e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 209.395243558914, "fos_buckling": 1.5480865842483187, "fos_yielding": 4.2394576740081895, "deflection": 0.0019849724771521236, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.403)" }, "parent_node_id": "node_2026", "improvement_over_parent": null }, "node_2028": { "node_id": "node_2028", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2027", "improvement_over_parent": null }, "node_2029": { "node_id": "node_2029", "content": "INITIAL DESIGN (Trace 288)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0016)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0031)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0030)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n\nPerformance:\n Mass: 130.63 kg\n Factor of Safety: 0.22\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": 130.6297249615105, "fos_buckling": 0.21556711606079376, "fos_yielding": 1.3289578879329687, "deflection": 0.007578724154871026, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2030": { "node_id": "node_2030", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0038)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 155.32 kg\n Factor of Safety: 0.25\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": 155.3204068560408, "fos_buckling": 0.25121844717946223, "fos_yielding": 1.5815827234336814, "deflection": 0.006383427102055877, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.206)" }, "parent_node_id": "node_2029", "improvement_over_parent": null }, "node_2031": { "node_id": "node_2031", "content": "MODIFICATION: Increase 8 thickness by 35%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0038)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 157.61 kg\n Factor of Safety: 0.32\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": 157.61354587731864, "fos_buckling": 0.3166725838041448, "fos_yielding": 1.7376460471336224, "deflection": 0.00600057837069745, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.346)" }, "parent_node_id": "node_2030", "improvement_over_parent": null }, "node_2032": { "node_id": "node_2032", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0038)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n\nPerformance:\n Mass: 160.43 kg\n Factor of Safety: 0.32\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": 160.42777776643868, "fos_buckling": 0.31664242376453094, "fos_yielding": 1.7374800668912687, "deflection": 0.005788236646451687, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.002221)" }, "parent_node_id": "node_2031", "improvement_over_parent": null }, "node_2033": { "node_id": "node_2033", "content": "MODIFICATION: Increase 10 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0038)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0044)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n\nPerformance:\n Mass: 163.54 kg\n Factor of Safety: 0.32\n Max Deflection: 5.77e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 163.53888522258254, "fos_buckling": 0.3166090888035053, "fos_yielding": 1.7372966141597008, "deflection": 0.005773311557897652, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.312)" }, "parent_node_id": "node_2032", "improvement_over_parent": null }, "node_2034": { "node_id": "node_2034", "content": "MODIFICATION: Increase 0 thickness by 57%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0038)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0044)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n\nPerformance:\n Mass: 165.42 kg\n Factor of Safety: 0.32\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": 165.41802777743993, "fos_buckling": 0.3165889575262918, "fos_yielding": 1.737185825490697, "deflection": 0.005749045422281193, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.570)" }, "parent_node_id": "node_2033", "improvement_over_parent": null }, "node_2035": { "node_id": "node_2035", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0038)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0044)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n\nPerformance:\n Mass: 196.73 kg\n Factor of Safety: 1.24\n Max Deflection: 2.07e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 196.72757812236875, "fos_buckling": 1.2391785754404083, "fos_yielding": 3.453987067937442, "deflection": 0.0020723990437755313, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.005592)" }, "parent_node_id": "node_2034", "improvement_over_parent": null }, "node_2036": { "node_id": "node_2036", "content": "MODIFICATION: Increase 6 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0038)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0047)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0044)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n\nPerformance:\n Mass: 199.78 kg\n Factor of Safety: 1.25\n Max Deflection: 2.07e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 199.78486854104986, "fos_buckling": 1.2483171384917584, "fos_yielding": 3.4794591663294563, "deflection": 0.002065837739552904, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.362)" }, "parent_node_id": "node_2035", "improvement_over_parent": null }, "node_2037": { "node_id": "node_2037", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2036", "improvement_over_parent": null }, "node_2038": { "node_id": "node_2038", "content": "INITIAL DESIGN (Trace 289)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0042)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0046)]\n\nPerformance:\n Mass: 151.25 kg\n Factor of Safety: 1.10\n Max Deflection: 2.93e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 151.24860822905177, "fos_buckling": 1.0964859127882969, "fos_yielding": 1.6940801077778365, "deflection": 0.0029294687053074953, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2039": { "node_id": "node_2039", "content": "MODIFICATION: Increase 2 thickness by 49%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0042)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0046)]\n\nPerformance:\n Mass: 152.99 kg\n Factor of Safety: 1.10\n Max Deflection: 2.70e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 152.9854405040801, "fos_buckling": 1.0963565153476935, "fos_yielding": 2.4824188474552473, "deflection": 0.0027019079279187908, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.495)" }, "parent_node_id": "node_2038", "improvement_over_parent": null }, "node_2040": { "node_id": "node_2040", "content": "MODIFICATION: Increase 2 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0042)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0046)]\n\nPerformance:\n Mass: 153.98 kg\n Factor of Safety: 1.10\n Max Deflection: 2.63e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 153.97925859391523, "fos_buckling": 1.0962824876703554, "fos_yielding": 2.933423794553323, "deflection": 0.0026267741755843397, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.196)" }, "parent_node_id": "node_2039", "improvement_over_parent": null }, "node_2041": { "node_id": "node_2041", "content": "MODIFICATION: Increase 0 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0042)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0046)]\n\nPerformance:\n Mass: 154.68 kg\n Factor of Safety: 1.10\n Max Deflection: 2.61e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 154.675796353636, "fos_buckling": 1.096256548128971, "fos_yielding": 2.93335438573874, "deflection": 0.002614087377044633, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.193)" }, "parent_node_id": "node_2040", "improvement_over_parent": null }, "node_2042": { "node_id": "node_2042", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 185.28 kg\n Factor of Safety: 1.27\n Max Deflection: 2.19e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 185.27593930642772, "fos_buckling": 1.2724806548326928, "fos_yielding": 3.506188691816867, "deflection": 0.0021869347264312946, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.217)" }, "parent_node_id": "node_2041", "improvement_over_parent": null }, "node_2043": { "node_id": "node_2043", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 200.73 kg\n Factor of Safety: 1.45\n Max Deflection: 2.02e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 200.7268438201685, "fos_buckling": 1.4457605943965555, "fos_yielding": 4.242190242575585, "deflection": 0.0020199002646339465, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003928)" }, "parent_node_id": "node_2042", "improvement_over_parent": null }, "node_2044": { "node_id": "node_2044", "content": "MODIFICATION: Increase 7 thickness by 55%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 203.95 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.94822115590836, "fos_buckling": 1.5437486009957488, "fos_yielding": 4.253639430401453, "deflection": 0.0020068124155283645, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.550)" }, "parent_node_id": "node_2043", "improvement_over_parent": null }, "node_2045": { "node_id": "node_2045", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2044", "improvement_over_parent": null }, "node_2046": { "node_id": "node_2046", "content": "INITIAL DESIGN (Trace 290)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0023)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n\nPerformance:\n Mass: 132.54 kg\n Factor of Safety: 0.28\n Max Deflection: 7.67e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 132.54408770519217, "fos_buckling": 0.2848592354305899, "fos_yielding": 1.5280637353190525, "deflection": 0.007666479652855692, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2047": { "node_id": "node_2047", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 151.27 kg\n Factor of Safety: 0.32\n Max Deflection: 6.72e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 151.26805213810448, "fos_buckling": 0.31749480261762686, "fos_yielding": 1.7417419542377173, "deflection": 0.006724541637194609, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.155)" }, "parent_node_id": "node_2046", "improvement_over_parent": null }, "node_2048": { "node_id": "node_2048", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n\nPerformance:\n Mass: 170.37 kg\n Factor of Safety: 0.32\n Max Deflection: 5.70e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 170.3717714608979, "fos_buckling": 0.3168791047587649, "fos_yielding": 1.7383543762691835, "deflection": 0.005697332834870947, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.004368)" }, "parent_node_id": "node_2047", "improvement_over_parent": null }, "node_2049": { "node_id": "node_2049", "content": "MODIFICATION: Increase 11 thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n\nPerformance:\n Mass: 172.67 kg\n Factor of Safety: 0.32\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": 172.67310498127048, "fos_buckling": 0.3168544312344305, "fos_yielding": 1.7382186230099699, "deflection": 0.0056838578397855645, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.280)" }, "parent_node_id": "node_2048", "improvement_over_parent": null }, "node_2050": { "node_id": "node_2050", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n\nPerformance:\n Mass: 203.98 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.9826553261993, "fos_buckling": 1.5439008021303422, "fos_yielding": 4.254056859019533, "deflection": 0.0020065248048255465, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.005592)" }, "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "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 291)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0016)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0028)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0020)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0023)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0033)]\n\nPerformance:\n Mass: 123.59 kg\n Factor of Safety: 1.01\n Max Deflection: 3.28e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 123.59127083838848, "fos_buckling": 1.0101178595087348, "fos_yielding": 2.60942085413117, "deflection": 0.0032764760348528055, "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: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nPerformance:\n Mass: 161.82 kg\n Factor of Safety: 1.27\n Max Deflection: 2.51e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 161.82224498144973, "fos_buckling": 1.2737642710819483, "fos_yielding": 3.408359799251146, "deflection": 0.0025086030867623003, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.332)" }, "parent_node_id": "node_2052", "improvement_over_parent": null }, "node_2054": { "node_id": "node_2054", "content": "MODIFICATION: Increase 7 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nPerformance:\n Mass: 163.27 kg\n Factor of Safety: 1.28\n Max Deflection: 2.50e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 163.2697228785775, "fos_buckling": 1.2834728956221488, "fos_yielding": 3.412986263016223, "deflection": 0.00250042605443322, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.248)" }, "parent_node_id": "node_2053", "improvement_over_parent": null }, "node_2055": { "node_id": "node_2055", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 204.01 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.01484615739082, "fos_buckling": 1.5442086573652067, "fos_yielding": 4.254288831823351, "deflection": 0.0020061770857312555, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.274)" }, "parent_node_id": "node_2054", "improvement_over_parent": null }, "node_2056": { "node_id": "node_2056", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2055", "improvement_over_parent": null }, "node_2057": { "node_id": "node_2057", "content": "INITIAL DESIGN (Trace 292)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0017)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0020)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0012)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0014)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0027)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0018)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0018)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0025)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0018)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0021)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0030)]\n\nPerformance:\n Mass: 97.93 kg\n Factor of Safety: 0.53\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": 97.92564086362891, "fos_buckling": 0.5313983184617886, "fos_yielding": 2.6919098886303154, "deflection": 5028659559787.315, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2058": { "node_id": "node_2058", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0017)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0020)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0012)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0014)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0027)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0018)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0018)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0025)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0018)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0021)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0030)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0023)]\n\nPerformance:\n Mass: 108.60 kg\n Factor of Safety: 0.29\n Max Deflection: 9.26e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 108.59609952473116, "fos_buckling": 0.2871283188085198, "fos_yielding": 1.3073385989533661, "deflection": 0.009259545166119258, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.002341)" }, "parent_node_id": "node_2057", "improvement_over_parent": null }, "node_2059": { "node_id": "node_2059", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0035)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0032)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0023)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0027)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0038)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n\nPerformance:\n Mass: 136.60 kg\n Factor of Safety: 0.35\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": 136.59777011435784, "fos_buckling": 0.35183048182656407, "fos_yielding": 1.6405739085810573, "deflection": 0.00738071998113197, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.274)" }, "parent_node_id": "node_2058", "improvement_over_parent": null }, "node_2060": { "node_id": "node_2060", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0035)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0032)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0023)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0027)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0038)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0024)]\n\nPerformance:\n Mass: 141.68 kg\n Factor of Safety: 1.10\n Max Deflection: 2.88e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 141.67997855928044, "fos_buckling": 1.0980563232469955, "fos_yielding": 2.964090034834264, "deflection": 0.002877595884400273, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.002432)" }, "parent_node_id": "node_2059", "improvement_over_parent": null }, "node_2061": { "node_id": "node_2061", "content": "MODIFICATION: Increase 8 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0035)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0032)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0023)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0027)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0038)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0024)]\n\nPerformance:\n Mass: 143.04 kg\n Factor of Safety: 1.08\n Max Deflection: 2.87e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 143.03844163097264, "fos_buckling": 1.0820383031964345, "fos_yielding": 2.9869734246701087, "deflection": 0.002869037779117369, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.218)" }, "parent_node_id": "node_2060", "improvement_over_parent": null }, "node_2062": { "node_id": "node_2062", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0046)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0037)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0042)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0050)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0032)]\n\nPerformance:\n Mass: 182.83 kg\n Factor of Safety: 1.35\n Max Deflection: 2.25e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 182.83213969740737, "fos_buckling": 1.3498521974837137, "fos_yielding": 3.809699045834624, "deflection": 0.0022495307136836625, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.302)" }, "parent_node_id": "node_2061", "improvement_over_parent": null }, "node_2063": { "node_id": "node_2063", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0042)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n\nPerformance:\n Mass: 203.62 kg\n Factor of Safety: 1.48\n Max Deflection: 2.02e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 203.62246548506428, "fos_buckling": 1.483894774223957, "fos_yielding": 4.238123762286445, "deflection": 0.0020221579242767082, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.125)" }, "parent_node_id": "node_2062", "improvement_over_parent": null }, "node_2064": { "node_id": "node_2064", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2063", "improvement_over_parent": null }, "node_2065": { "node_id": "node_2065", "content": "INITIAL DESIGN (Trace 293)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0032)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0046)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0031)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0042)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0023)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0050)]\n\nPerformance:\n Mass: 177.67 kg\n Factor of Safety: 1.37\n Max Deflection: 2.31e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 177.67116990851943, "fos_buckling": 1.3703828691625832, "fos_yielding": 3.22678428992576, "deflection": 0.0023057784123630422, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2066": { "node_id": "node_2066", "content": "MODIFICATION: Increase 5 thickness by 60%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0032)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0046)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0031)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0042)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0023)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0050)]\n\nPerformance:\n Mass: 178.90 kg\n Factor of Safety: 1.38\n Max Deflection: 2.30e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 178.90385049090088, "fos_buckling": 1.3844910519887708, "fos_yielding": 3.220908576645262, "deflection": 0.002296607525988261, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.597)" }, "parent_node_id": "node_2065", "improvement_over_parent": null }, "node_2067": { "node_id": "node_2067", "content": "MODIFICATION: Increase 1 thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0032)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0046)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0031)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0042)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0023)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0050)]\n\nPerformance:\n Mass: 180.34 kg\n Factor of Safety: 1.39\n Max Deflection: 2.23e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 180.33606576306408, "fos_buckling": 1.3871969002501743, "fos_yielding": 3.7583041816649176, "deflection": 0.00223422452015291, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.279)" }, "parent_node_id": "node_2066", "improvement_over_parent": null }, "node_2068": { "node_id": "node_2068", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0026)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 198.75 kg\n Factor of Safety: 1.50\n Max Deflection: 2.03e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 198.75034687316113, "fos_buckling": 1.5022154106771868, "fos_yielding": 4.137745198753501, "deflection": 0.0020297349648577675, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.112)" }, "parent_node_id": "node_2067", "improvement_over_parent": null }, "node_2069": { "node_id": "node_2069", "content": "MODIFICATION: Increase 14 thickness by 53%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.79 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.7876497852735, "fos_buckling": 1.5427758042890554, "fos_yielding": 4.249465909867369, "deflection": 0.00200829670047608, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.531)" }, "parent_node_id": "node_2068", "improvement_over_parent": null }, "node_2070": { "node_id": "node_2070", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2069", "improvement_over_parent": null }, "node_2071": { "node_id": "node_2071", "content": "INITIAL DESIGN (Trace 294)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0017)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0031)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0022)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0026)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0025)]\n\nPerformance:\n Mass: 124.61 kg\n Factor of Safety: 0.34\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": 124.60598232830112, "fos_buckling": 0.34343746719390883, "fos_yielding": 1.5961983469405059, "deflection": 0.007702988150475878, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2072": { "node_id": "node_2072", "content": "MODIFICATION: Increase 14 thickness by 51%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0017)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0031)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0022)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0026)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0037)]\n\nPerformance:\n Mass: 131.51 kg\n Factor of Safety: 0.34\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": 131.5124107866877, "fos_buckling": 0.3432760299006501, "fos_yielding": 1.5954498337379608, "deflection": 0.007635052334838167, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.506)" }, "parent_node_id": "node_2071", "improvement_over_parent": null }, "node_2073": { "node_id": "node_2073", "content": "MODIFICATION: Increase 7 thickness by 47%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0017)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0031)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0022)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0026)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0037)]\n\nPerformance:\n Mass: 134.32 kg\n Factor of Safety: 0.34\n Max Deflection: 7.55e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 134.32440038536186, "fos_buckling": 0.34314468184287067, "fos_yielding": 1.5948408297423573, "deflection": 0.00755076301076946, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.475)" }, "parent_node_id": "node_2072", "improvement_over_parent": null }, "node_2074": { "node_id": "node_2074", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0042)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0046)]\n\nPerformance:\n Mass: 164.72 kg\n Factor of Safety: 0.41\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": 164.71682913397962, "fos_buckling": 0.4089252783034895, "fos_yielding": 1.9509679845074297, "deflection": 0.0061745264783726024, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.244)" }, "parent_node_id": "node_2073", "improvement_over_parent": null }, "node_2075": { "node_id": "node_2075", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 196.52 kg\n Factor of Safety: 0.47\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": 196.5154434812984, "fos_buckling": 0.47312119967085303, "fos_yielding": 2.321735337584283, "deflection": 0.005190302040642197, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.212)" }, "parent_node_id": "node_2074", "improvement_over_parent": null }, "node_2076": { "node_id": "node_2076", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n\nPerformance:\n Mass: 203.75 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.7465892695068, "fos_buckling": 1.5427566215065986, "fos_yielding": 4.248154783891736, "deflection": 0.0020086242435132873, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.003560)" }, "parent_node_id": "node_2075", "improvement_over_parent": null }, "node_2077": { "node_id": "node_2077", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2076", "improvement_over_parent": null }, "node_2078": { "node_id": "node_2078", "content": "INITIAL DESIGN (Trace 295)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0020)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nPerformance:\n Mass: 130.13 kg\n Factor of Safety: 0.10\n Max Deflection: 6.13e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 130.13403585193123, "fos_buckling": 0.09816560222178729, "fos_yielding": 0.9184790716092956, "deflection": 6134463869936.706, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2079": { "node_id": "node_2079", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0020)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n\nPerformance:\n Mass: 141.76 kg\n Factor of Safety: 0.62\n Max Deflection: 3.14e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 141.75598413373945, "fos_buckling": 0.6234173650038541, "fos_yielding": 2.787731107835639, "deflection": 0.0031431227266063236, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.002561)" }, "parent_node_id": "node_2078", "improvement_over_parent": null }, "node_2080": { "node_id": "node_2080", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n\nPerformance:\n Mass: 178.68 kg\n Factor of Safety: 0.77\n Max Deflection: 2.50e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 178.67646787653183, "fos_buckling": 0.7675174736837058, "fos_yielding": 3.5036678262572014, "deflection": 0.002498773084107547, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.285)" }, "parent_node_id": "node_2079", "improvement_over_parent": null }, "node_2081": { "node_id": "node_2081", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n\nPerformance:\n Mass: 194.26 kg\n Factor of Safety: 1.27\n Max Deflection: 2.16e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 194.25780450898438, "fos_buckling": 1.2661301973711065, "fos_yielding": 4.223054821324216, "deflection": 0.002155281306458098, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.003945)" }, "parent_node_id": "node_2080", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n\nPerformance:\n Mass: 197.07 kg\n Factor of Safety: 1.39\n Max Deflection: 2.05e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 197.07203639810442, "fos_buckling": 1.3865686947076326, "fos_yielding": 4.237469782811962, "deflection": 0.002050783881646028, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.002221)" }, "parent_node_id": "node_2081", "improvement_over_parent": null }, "node_2083": { "node_id": "node_2083", "content": "MODIFICATION: Increase 12 thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0074)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n\nPerformance:\n Mass: 206.10 kg\n Factor of Safety: 1.41\n Max Deflection: 1.92e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 206.1018387952772, "fos_buckling": 1.4070734193132761, "fos_yielding": 4.093826214957861, "deflection": 0.001923468684096039, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.328)" }, "parent_node_id": "node_2082", "improvement_over_parent": null }, "node_2084": { "node_id": "node_2084", "content": "MODIFICATION: Increase 11 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0052)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0074)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n\nPerformance:\n Mass: 210.33 kg\n Factor of Safety: 1.40\n Max Deflection: 1.92e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 210.3349603413706, "fos_buckling": 1.3990997500761941, "fos_yielding": 4.14289558828364, "deflection": 0.0019158713627080695, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.311)" }, "parent_node_id": "node_2083", "improvement_over_parent": null }, "node_2085": { "node_id": "node_2085", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2084", "improvement_over_parent": null }, "node_2086": { "node_id": "node_2086", "content": "INITIAL DESIGN (Trace 296)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0019)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0038)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0035)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0025)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0029)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0031)]\n\nPerformance:\n Mass: 140.71 kg\n Factor of Safety: 0.74\n Max Deflection: 4.53e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 140.7085378776277, "fos_buckling": 0.7403737368256961, "fos_yielding": 2.506716596319893, "deflection": 0.004525150742095512, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2087": { "node_id": "node_2087", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0019)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0038)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0035)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0025)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0029)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0031)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n\nPerformance:\n Mass: 142.86 kg\n Factor of Safety: 0.70\n Max Deflection: 2.97e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 142.86264528032913, "fos_buckling": 0.69649036878574, "fos_yielding": 3.1176004859960735, "deflection": 0.002965240286621089, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.001662)" }, "parent_node_id": "node_2086", "improvement_over_parent": null }, "node_2088": { "node_id": "node_2088", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0046)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0031)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0042)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0037)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n\nPerformance:\n Mass: 169.49 kg\n Factor of Safety: 0.80\n Max Deflection: 2.50e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 169.49258336078898, "fos_buckling": 0.8036649827982044, "fos_yielding": 3.688619543348091, "deflection": 0.0025017731972827137, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.202)" }, "parent_node_id": "node_2087", "improvement_over_parent": null }, "node_2089": { "node_id": "node_2089", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0042)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n\nPerformance:\n Mass: 186.82 kg\n Factor of Safety: 0.87\n Max Deflection: 2.27e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 186.82435095409713, "fos_buckling": 0.8696774466775262, "fos_yielding": 4.058517628970871, "deflection": 0.002271070775528482, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.112)" }, "parent_node_id": "node_2088", "improvement_over_parent": null }, "node_2090": { "node_id": "node_2090", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0042)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n\nPerformance:\n Mass: 193.38 kg\n Factor of Safety: 1.28\n Max Deflection: 2.18e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 193.37864555151535, "fos_buckling": 1.2786995512392465, "fos_yielding": 4.416746148728499, "deflection": 0.0021847049658764526, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.002257)" }, "parent_node_id": "node_2089", "improvement_over_parent": null }, "node_2091": { "node_id": "node_2091", "content": "MODIFICATION: Increase 7 thickness by 52%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0052)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0042)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n\nPerformance:\n Mass: 197.65 kg\n Factor of Safety: 1.30\n Max Deflection: 2.17e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 197.64679759138122, "fos_buckling": 1.3033981293405963, "fos_yielding": 4.4044549006887665, "deflection": 0.0021663904833333246, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.517)" }, "parent_node_id": "node_2090", "improvement_over_parent": null }, "node_2092": { "node_id": "node_2092", "content": "MODIFICATION: Increase 15 thickness by 35%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0052)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0042)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n\nPerformance:\n Mass: 199.75 kg\n Factor of Safety: 1.31\n Max Deflection: 2.16e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 199.74892718690162, "fos_buckling": 1.3061795317432803, "fos_yielding": 4.343484197120323, "deflection": 0.00215652117104146, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(15, thickness, 1.348)" }, "parent_node_id": "node_2091", "improvement_over_parent": null }, "node_2093": { "node_id": "node_2093", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2092", "improvement_over_parent": null }, "node_2094": { "node_id": "node_2094", "content": "INITIAL DESIGN (Trace 297)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0048)]\n\nPerformance:\n Mass: 142.17 kg\n Factor of Safety: 0.13\n Max Deflection: 2.08e+13 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 142.16937715471892, "fos_buckling": 0.12578860114541818, "fos_yielding": 0.6729774721575789, "deflection": 20845524853800.94, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2095": { "node_id": "node_2095", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 162.23 kg\n Factor of Safety: 0.49\n Max Deflection: 4.87e+12 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 162.2253551960655, "fos_buckling": 0.49217563159620564, "fos_yielding": 2.691909888630315, "deflection": 4873125616190.596, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.155)" }, "parent_node_id": "node_2094", "improvement_over_parent": null }, "node_2096": { "node_id": "node_2096", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n\nPerformance:\n Mass: 169.46 kg\n Factor of Safety: 1.13\n Max Deflection: 2.60e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 169.4565009842739, "fos_buckling": 1.1326430412707722, "fos_yielding": 3.2820605959802345, "deflection": 0.002601420920792648, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.003560)" }, "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n\nPerformance:\n Mass: 188.56 kg\n Factor of Safety: 1.27\n Max Deflection: 2.18e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 188.5602203070673, "fos_buckling": 1.2726303850951697, "fos_yielding": 3.50613378328121, "deflection": 0.0021768497724194355, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.004368)" }, "parent_node_id": "node_2096", "improvement_over_parent": null }, "node_2098": { "node_id": "node_2098", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 204.01 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.0111248208081, "fos_buckling": 1.5442432718272314, "fos_yielding": 4.254435198443946, "deflection": 0.002006211052281116, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003928)" }, "parent_node_id": "node_2097", "improvement_over_parent": null }, "node_2099": { "node_id": "node_2099", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2098", "improvement_over_parent": null }, "node_2100": { "node_id": "node_2100", "content": "INITIAL DESIGN (Trace 298)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0016)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0012)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0030)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0021)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0025)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0036)]\n\nPerformance:\n Mass: 128.22 kg\n Factor of Safety: 0.33\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": 128.2176306215368, "fos_buckling": 0.3322070356885514, "fos_yielding": 1.537668108882714, "deflection": 0.007871042009977567, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2101": { "node_id": "node_2101", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0016)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0012)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0030)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0021)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0025)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0036)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0023)]\n\nPerformance:\n Mass: 132.98 kg\n Factor of Safety: 1.01\n Max Deflection: 3.07e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 132.9764154515171, "fos_buckling": 1.0121645014564078, "fos_yielding": 2.786725240949404, "deflection": 0.00306522030156114, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.002268)" }, "parent_node_id": "node_2100", "improvement_over_parent": null }, "node_2102": { "node_id": "node_2102", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0015)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n\nPerformance:\n Mass: 158.04 kg\n Factor of Safety: 1.18\n Max Deflection: 2.58e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 158.04191447956617, "fos_buckling": 1.1847446518699563, "fos_yielding": 3.3070358187759346, "deflection": 0.0025831061629650173, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.202)" }, "parent_node_id": "node_2101", "improvement_over_parent": null }, "node_2103": { "node_id": "node_2103", "content": "MODIFICATION: Increase 5 thickness by 35%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0015)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0053)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n\nPerformance:\n Mass: 163.42 kg\n Factor of Safety: 1.05\n Max Deflection: 2.55e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 163.42385135587622, "fos_buckling": 1.0531654753241926, "fos_yielding": 3.3097483888804375, "deflection": 0.0025506006810732218, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.351)" }, "parent_node_id": "node_2102", "improvement_over_parent": null }, "node_2104": { "node_id": "node_2104", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0019)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0069)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n\nPerformance:\n Mass: 208.64 kg\n Factor of Safety: 1.29\n Max Deflection: 2.00e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 208.63692389557383, "fos_buckling": 1.2936990205434138, "fos_yielding": 4.218947435203877, "deflection": 0.0020018169765517817, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.305)" }, "parent_node_id": "node_2103", "improvement_over_parent": null }, "node_2105": { "node_id": "node_2105", "content": "MODIFICATION: Increase 0 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0019)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0069)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n\nPerformance:\n Mass: 209.52 kg\n Factor of Safety: 1.35\n Max Deflection: 1.99e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 209.52221368505138, "fos_buckling": 1.3512419561603108, "fos_yielding": 4.217906057846305, "deflection": 0.001990879129260924, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.211)" }, "parent_node_id": "node_2104", "improvement_over_parent": null }, "node_2106": { "node_id": "node_2106", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2105", "improvement_over_parent": null }, "node_2107": { "node_id": "node_2107", "content": "INITIAL DESIGN (Trace 299)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0035)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n\nPerformance:\n Mass: 179.30 kg\n Factor of Safety: 1.02\n Max Deflection: 2.48e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 179.30243462920814, "fos_buckling": 1.0165987437264463, "fos_yielding": 2.971962034389794, "deflection": 0.0024773556836796516, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2108": { "node_id": "node_2108", "content": "MODIFICATION: Increase 5 thickness by 54%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0035)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n\nPerformance:\n Mass: 186.39 kg\n Factor of Safety: 1.02\n Max Deflection: 2.48e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 186.39257539193957, "fos_buckling": 1.0165987437264459, "fos_yielding": 2.971962034389794, "deflection": 0.0024773556836796525, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.536)" }, "parent_node_id": "node_2107", "improvement_over_parent": null }, "node_2109": { "node_id": "node_2109", "content": "MODIFICATION: Increase 1 thickness by 61%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0035)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n\nPerformance:\n Mass: 189.15 kg\n Factor of Safety: 1.02\n Max Deflection: 2.36e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 189.14924263123774, "fos_buckling": 1.0160348489303352, "fos_yielding": 4.415255189879174, "deflection": 0.002363902501139027, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.608)" }, "parent_node_id": "node_2108", "improvement_over_parent": null }, "node_2110": { "node_id": "node_2110", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0035)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n\nPerformance:\n Mass: 191.96 kg\n Factor of Safety: 1.31\n Max Deflection: 2.20e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 191.96347452035778, "fos_buckling": 1.3064573022151529, "fos_yielding": 4.31554431833125, "deflection": 0.0021952258692120746, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.002221)" }, "parent_node_id": "node_2109", "improvement_over_parent": null }, "node_2111": { "node_id": "node_2111", "content": "MODIFICATION: Increase 15 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0035)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0029)]\n\nPerformance:\n Mass: 192.73 kg\n Factor of Safety: 1.31\n Max Deflection: 2.19e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 192.72959005330102, "fos_buckling": 1.306641482384445, "fos_yielding": 4.310753633809994, "deflection": 0.0021899606484381043, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(15, thickness, 1.309)" }, "parent_node_id": "node_2110", "improvement_over_parent": null }, "node_2112": { "node_id": "node_2112", "content": "MODIFICATION: Increase 10 thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0035)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0045)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0029)]\n\nPerformance:\n Mass: 195.98 kg\n Factor of Safety: 1.31\n Max Deflection: 2.18e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 195.9765221897361, "fos_buckling": 1.3070900275423494, "fos_yielding": 4.2976319708220245, "deflection": 0.0021756489850841905, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.326)" }, "parent_node_id": "node_2111", "improvement_over_parent": null }, "node_2113": { "node_id": "node_2113", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2112", "improvement_over_parent": null }, "node_2114": { "node_id": "node_2114", "content": "INITIAL DESIGN (Trace 300)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0031)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0028)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0020)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0019)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0034)]\n\nPerformance:\n Mass: 123.48 kg\n Factor of Safety: 1.05\n Max Deflection: 3.41e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 123.48217388837014, "fos_buckling": 1.0452218611161592, "fos_yielding": 1.8286594486711365, "deflection": 0.003408101323959553, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2115": { "node_id": "node_2115", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0035)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0025)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0024)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0042)]\n\nPerformance:\n Mass: 152.94 kg\n Factor of Safety: 1.26\n Max Deflection: 2.76e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 152.93632997807217, "fos_buckling": 1.259340999556005, "fos_yielding": 2.2703140128521264, "deflection": 0.002755381576103445, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.255)" }, "parent_node_id": "node_2114", "improvement_over_parent": null }, "node_2116": { "node_id": "node_2116", "content": "MODIFICATION: Increase 14 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0035)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0025)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0042)]\n\nPerformance:\n Mass: 155.02 kg\n Factor of Safety: 1.26\n Max Deflection: 2.74e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 155.01616129148786, "fos_buckling": 1.257639387971346, "fos_yielding": 2.303244815206968, "deflection": 0.00273842238863187, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.227)" }, "parent_node_id": "node_2115", "improvement_over_parent": null }, "node_2117": { "node_id": "node_2117", "content": "MODIFICATION: Increase 2 thickness by 50%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0035)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0025)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0042)]\n\nPerformance:\n Mass: 156.91 kg\n Factor of Safety: 1.24\n Max Deflection: 2.60e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 156.90830765411715, "fos_buckling": 1.2406828652337822, "fos_yielding": 3.2797766876990253, "deflection": 0.002600904525351274, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.499)" }, "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.80 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.80173025294997, "fos_buckling": 1.5429609047397732, "fos_yielding": 4.248022548522639, "deflection": 0.002008358297822366, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.328)" }, "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "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 301)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0015)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0017)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0010)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0017)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0024)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0016)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0016)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0022)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0016)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0019)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0012)]\n\nPerformance:\n Mass: 71.48 kg\n Factor of Safety: 0.26\n Max Deflection: 5.85e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 71.48162702723012, "fos_buckling": 0.2629979269207578, "fos_yielding": 1.7946065924202097, "deflection": 5853562002570.565, "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: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0032)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0029)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0021)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0017)]\n\nPerformance:\n Mass: 93.55 kg\n Factor of Safety: 0.03\n Max Deflection: 9.43e+13 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 93.55303265146277, "fos_buckling": 0.033833752562325875, "fos_yielding": 0.22545504139622197, "deflection": 94319344304349.28, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.326)" }, "parent_node_id": "node_2120", "improvement_over_parent": null }, "node_2122": { "node_id": "node_2122", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0038)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0035)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0025)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0020)]\n\nPerformance:\n Mass: 111.32 kg\n Factor of Safety: 0.17\n Max Deflection: 2.19e+13 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 111.32092509366365, "fos_buckling": 0.17010813482202428, "fos_yielding": 0.7179194564364964, "deflection": 21885178523361.395, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.203)" }, "parent_node_id": "node_2121", "improvement_over_parent": null }, "node_2123": { "node_id": "node_2123", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0038)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0035)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0025)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0020)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0019)]\n\nPerformance:\n Mass: 114.27 kg\n Factor of Safety: 0.25\n Max Deflection: 9.70e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 114.2662104997375, "fos_buckling": 0.2548995560447816, "fos_yielding": 1.2092838056893194, "deflection": 0.009696671824450685, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.001948)" }, "parent_node_id": "node_2122", "improvement_over_parent": null }, "node_2124": { "node_id": "node_2124", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0038)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0035)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0025)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0020)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0019)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0042)]\n\nPerformance:\n Mass: 138.34 kg\n Factor of Safety: 0.81\n Max Deflection: 3.27e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 138.33552911562862, "fos_buckling": 0.8133179293764747, "fos_yielding": 2.526284421300775, "deflection": 0.0032737395242421015, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.004204)" }, "parent_node_id": "node_2123", "improvement_over_parent": null }, "node_2125": { "node_id": "node_2125", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0038)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0035)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0025)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0020)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0019)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0042)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n\nPerformance:\n Mass: 153.02 kg\n Factor of Safety: 1.21\n Max Deflection: 2.63e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 153.02235596075022, "fos_buckling": 1.2090006395057273, "fos_yielding": 3.1951274570064303, "deflection": 0.0026300952484537253, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.003284)" }, "parent_node_id": "node_2124", "improvement_over_parent": null }, "node_2126": { "node_id": "node_2126", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0026)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n\nPerformance:\n Mass: 199.11 kg\n Factor of Safety: 1.51\n Max Deflection: 2.03e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 199.1144193837845, "fos_buckling": 1.5062162344712489, "fos_yielding": 4.146588521781311, "deflection": 0.0020275370127926613, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.330)" }, "parent_node_id": "node_2125", "improvement_over_parent": null }, "node_2127": { "node_id": "node_2127", "content": "MODIFICATION: Increase 14 thickness by 48%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0026)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0083)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n\nPerformance:\n Mass: 212.22 kg\n Factor of Safety: 1.58\n Max Deflection: 1.85e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 212.22254237987724, "fos_buckling": 1.5787253797170313, "fos_yielding": 3.9821265330923916, "deflection": 0.001851535081725213, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.484)" }, "parent_node_id": "node_2126", "improvement_over_parent": null }, "node_2128": { "node_id": "node_2128", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2127", "improvement_over_parent": null }, "node_2129": { "node_id": "node_2129", "content": "INITIAL DESIGN (Trace 302)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0011)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0016)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0007)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0016)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0011)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0015)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0015)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0021)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0015)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0019)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0017)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0017)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0025)]\n\nPerformance:\n Mass: 93.65 kg\n Factor of Safety: 0.62\n Max Deflection: 4.35e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 93.64828303401681, "fos_buckling": 0.6206993299769438, "fos_yielding": 1.9818382291958299, "deflection": 0.004345258420921903, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2130": { "node_id": "node_2130", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0014)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0019)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0008)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0014)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0018)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0025)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0018)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0023)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0021)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0030)]\n\nPerformance:\n Mass: 111.70 kg\n Factor of Safety: 0.73\n Max Deflection: 3.65e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 111.70455229901906, "fos_buckling": 0.7319179791034831, "fos_yielding": 2.3612431278395616, "deflection": 0.003646996796404601, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.202)" }, "parent_node_id": "node_2129", "improvement_over_parent": null }, "node_2131": { "node_id": "node_2131", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0017)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0011)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0032)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0023)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0026)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0037)]\n\nPerformance:\n Mass: 139.49 kg\n Factor of Safety: 0.90\n Max Deflection: 2.93e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 139.48553159933127, "fos_buckling": 0.8977687293177353, "fos_yielding": 2.9432797453377995, "deflection": 0.0029257049928646944, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.264)" }, "parent_node_id": "node_2130", "improvement_over_parent": null }, "node_2132": { "node_id": "node_2132", "content": "MODIFICATION: Increase 0 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0011)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0032)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0023)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0026)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0037)]\n\nPerformance:\n Mass: 140.08 kg\n Factor of Safety: 0.95\n Max Deflection: 2.91e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 140.0830976617811, "fos_buckling": 0.9468949555069038, "fos_yielding": 2.942570786060629, "deflection": 0.002908521184233051, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.199)" }, "parent_node_id": "node_2131", "improvement_over_parent": null }, "node_2133": { "node_id": "node_2133", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0012)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n\nPerformance:\n Mass: 160.06 kg\n Factor of Safety: 1.07\n Max Deflection: 2.55e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 160.0603217664988, "fos_buckling": 1.0674171032400759, "fos_yielding": 3.358074591459025, "deflection": 0.002548723076864705, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.153)" }, "parent_node_id": "node_2132", "improvement_over_parent": null }, "node_2134": { "node_id": "node_2134", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.09 kg\n Factor of Safety: 1.31\n Max Deflection: 2.01e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 203.0878772661947, "fos_buckling": 1.3149029255810132, "fos_yielding": 4.249522102638055, "deflection": 0.0020141920836294854, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.295)" }, "parent_node_id": "node_2133", "improvement_over_parent": null }, "node_2135": { "node_id": "node_2135", "content": "MODIFICATION: Increase 3 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.82 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.82401725970476, "fos_buckling": 1.5430428380353693, "fos_yielding": 4.25035775622647, "deflection": 0.0020080537294871487, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.389)" }, "parent_node_id": "node_2134", "improvement_over_parent": null }, "node_2136": { "node_id": "node_2136", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2135", "improvement_over_parent": null }, "node_2137": { "node_id": "node_2137", "content": "INITIAL DESIGN (Trace 303)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0025)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n\nPerformance:\n Mass: 123.17 kg\n Factor of Safety: 0.19\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": 123.17268916582722, "fos_buckling": 0.18796665431457865, "fos_yielding": 1.3459549443151575, "deflection": 10222023338058.65, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2138": { "node_id": "node_2138", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0025)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n\nPerformance:\n Mass: 135.20 kg\n Factor of Safety: 0.29\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": 135.200483002592, "fos_buckling": 0.29377973024675047, "fos_yielding": 1.0773437799715233, "deflection": 8467537620579.176, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.002993)" }, "parent_node_id": "node_2137", "improvement_over_parent": null }, "node_2139": { "node_id": "node_2139", "content": "MODIFICATION: Increase 5 thickness by 56%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n\nPerformance:\n Mass: 140.98 kg\n Factor of Safety: 0.69\n Max Deflection: 3.46e+12 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 140.98326686461354, "fos_buckling": 0.686535111021595, "fos_yielding": 2.588506359943615, "deflection": 3457518758735.068, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.562)" }, "parent_node_id": "node_2138", "improvement_over_parent": null }, "node_2140": { "node_id": "node_2140", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 181.06 kg\n Factor of Safety: 0.60\n Max Deflection: 2.11e+12 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 181.0575225457619, "fos_buckling": 0.6016672070100244, "fos_yielding": 1.4210487477065803, "deflection": 2111683791782.6985, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.312)" }, "parent_node_id": "node_2139", "improvement_over_parent": null }, "node_2141": { "node_id": "node_2141", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n\nPerformance:\n Mass: 196.64 kg\n Factor of Safety: 0.47\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": 196.63885917821446, "fos_buckling": 0.47337441895410076, "fos_yielding": 2.32325000415362, "deflection": 0.005186751632120865, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.003945)" }, "parent_node_id": "node_2140", "improvement_over_parent": null }, "node_2142": { "node_id": "node_2142", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n\nPerformance:\n Mass: 203.87 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.87000496642287, "fos_buckling": 1.5433138373945616, "fos_yielding": 4.251281548213531, "deflection": 0.0020075583029581126, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.003560)" }, "parent_node_id": "node_2141", "improvement_over_parent": null }, "node_2143": { "node_id": "node_2143", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2142", "improvement_over_parent": null }, "node_2144": { "node_id": "node_2144", "content": "INITIAL DESIGN (Trace 304)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0031)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0022)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0037)]\n\nPerformance:\n Mass: 129.73 kg\n Factor of Safety: 0.93\n Max Deflection: 3.15e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 129.73315165946443, "fos_buckling": 0.9282577761569212, "fos_yielding": 2.421074219123391, "deflection": 0.0031519085241180247, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2145": { "node_id": "node_2145", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n\nPerformance:\n Mass: 147.63 kg\n Factor of Safety: 1.04\n Max Deflection: 2.77e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 147.63400737817662, "fos_buckling": 1.038041292308205, "fos_yielding": 2.752034996771389, "deflection": 0.0027729472791481226, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.148)" }, "parent_node_id": "node_2144", "improvement_over_parent": null }, "node_2146": { "node_id": "node_2146", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n\nPerformance:\n Mass: 159.74 kg\n Factor of Safety: 1.26\n Max Deflection: 2.56e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 159.74043111838571, "fos_buckling": 1.2597655656449969, "fos_yielding": 3.3398661017361255, "deflection": 0.0025551652303240926, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003014)" }, "parent_node_id": "node_2145", "improvement_over_parent": null }, "node_2147": { "node_id": "node_2147", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 203.98 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.97741780633655, "fos_buckling": 1.5439658510360337, "fos_yielding": 4.253451539448669, "deflection": 0.002006588236968081, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.304)" }, "parent_node_id": "node_2146", "improvement_over_parent": null }, "node_2148": { "node_id": "node_2148", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2147", "improvement_over_parent": null }, "node_2149": { "node_id": "node_2149", "content": "INITIAL DESIGN (Trace 305)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M4: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M5: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M6: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M9: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\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_2150": { "node_id": "node_2150", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M4: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M5: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M6: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M9: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n\nPerformance:\n Mass: 154.53 kg\n Factor of Safety: 0.30\n Max Deflection: 1.45e+13 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 154.5334444755311, "fos_buckling": 0.29806986796387175, "fos_yielding": 1.5929269907345325, "deflection": 14493442740018.479, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.003945)" }, "parent_node_id": "node_2149", "improvement_over_parent": null }, "node_2151": { "node_id": "node_2151", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M4: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M5: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M6: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M9: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M11: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n\nPerformance:\n Mass: 158.37 kg\n Factor of Safety: 0.08\n Max Deflection: 2.53e+13 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 158.36585324224987, "fos_buckling": 0.07704575453577231, "fos_yielding": 0.4848589909713904, "deflection": 25337263028973.188, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002592)" }, "parent_node_id": "node_2150", "improvement_over_parent": null }, "node_2152": { "node_id": "node_2152", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M4: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M5: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M6: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M9: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M11: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M12: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n\nPerformance:\n Mass: 165.60 kg\n Factor of Safety: 0.18\n Max Deflection: 2.39e+13 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 165.59699903045828, "fos_buckling": 0.1835738158730892, "fos_yielding": 0.4360898127589146, "deflection": 23917022388899.574, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.003560)" }, "parent_node_id": "node_2151", "improvement_over_parent": null }, "node_2153": { "node_id": "node_2153", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M4: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M5: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M6: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M9: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M11: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M12: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n\nPerformance:\n Mass: 168.41 kg\n Factor of Safety: 0.34\n Max Deflection: 3.10e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 168.41123091957832, "fos_buckling": 0.3398597547781761, "fos_yielding": 2.530720266049363, "deflection": 0.0030994470829944242, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.002221)" }, "parent_node_id": "node_2152", "improvement_over_parent": null }, "node_2154": { "node_id": "node_2154", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M4: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M5: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M6: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M9: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M11: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M12: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 181.73 kg\n Factor of Safety: 0.34\n Max Deflection: 3.19e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 181.73476499122356, "fos_buckling": 0.33925144465313145, "fos_yielding": 2.5261905659602824, "deflection": 0.0031907940847314227, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.004024)" }, "parent_node_id": "node_2153", "improvement_over_parent": null }, "node_2155": { "node_id": "node_2155", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M4: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M5: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M6: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M9: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M11: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M12: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n\nPerformance:\n Mass: 203.94 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93774967493735, "fos_buckling": 1.5437101539788158, "fos_yielding": 4.2525987194883745, "deflection": 0.0020069703350313593, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.004709)" }, "parent_node_id": "node_2154", "improvement_over_parent": null }, "node_2156": { "node_id": "node_2156", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2155", "improvement_over_parent": null }, "node_2157": { "node_id": "node_2157", "content": "INITIAL DESIGN (Trace 306)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nPerformance:\n Mass: 133.45 kg\n Factor of Safety: 0.59\n Max Deflection: 2.37e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 133.45261242754407, "fos_buckling": 0.5885491313200589, "fos_yielding": 3.3515773389190064, "deflection": 2366982020252.576, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2158": { "node_id": "node_2158", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n\nPerformance:\n Mass: 144.04 kg\n Factor of Safety: 0.39\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": 144.04114400230262, "fos_buckling": 0.39151291764406904, "fos_yielding": 1.8543006589865165, "deflection": 0.0071767874464977125, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.003135)" }, "parent_node_id": "node_2157", "improvement_over_parent": null }, "node_2159": { "node_id": "node_2159", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 181.30 kg\n Factor of Safety: 0.47\n Max Deflection: 5.72e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 181.30203251679222, "fos_buckling": 0.47408954918955865, "fos_yielding": 2.326986716563168, "deflection": 0.005720814103729574, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.284)" }, "parent_node_id": "node_2158", "improvement_over_parent": null }, "node_2160": { "node_id": "node_2160", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n\nPerformance:\n Mass: 188.53 kg\n Factor of Safety: 1.27\n Max Deflection: 2.18e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 188.53317830500063, "fos_buckling": 1.2724208311546856, "fos_yielding": 3.505428450499432, "deflection": 0.0021771999864184976, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.003560)" }, "parent_node_id": "node_2159", "improvement_over_parent": null }, "node_2161": { "node_id": "node_2161", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 203.98 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.98408281874143, "fos_buckling": 1.5440257389406495, "fos_yielding": 4.253680559971889, "deflection": 0.0020065016138064605, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003928)" }, "parent_node_id": "node_2160", "improvement_over_parent": null }, "node_2162": { "node_id": "node_2162", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2161", "improvement_over_parent": null }, "node_2163": { "node_id": "node_2163", "content": "INITIAL DESIGN (Trace 307)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 171.75 kg\n Factor of Safety: 0.97\n Max Deflection: 2.63e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 171.75203097915983, "fos_buckling": 0.965409816415425, "fos_yielding": 2.3018541540923896, "deflection": 0.0026262704681928256, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2164": { "node_id": "node_2164", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 187.20 kg\n Factor of Safety: 1.02\n Max Deflection: 2.62e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 187.20293549290062, "fos_buckling": 1.0220976412861886, "fos_yielding": 2.3684086851417594, "deflection": 0.0026211132469742145, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003928)" }, "parent_node_id": "node_2163", "improvement_over_parent": null }, "node_2165": { "node_id": "node_2165", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 200.53 kg\n Factor of Safety: 1.38\n Max Deflection: 2.13e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 200.52646956454586, "fos_buckling": 1.3785940318173513, "fos_yielding": 2.956860206744839, "deflection": 0.0021283091342407584, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.004024)" }, "parent_node_id": "node_2164", "improvement_over_parent": null }, "node_2166": { "node_id": "node_2166", "content": "MODIFICATION: Increase 3 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 201.27 kg\n Factor of Safety: 1.54\n Max Deflection: 2.12e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 201.2658910401784, "fos_buckling": 1.5363956660679172, "fos_yielding": 2.952644857688371, "deflection": 0.002122600670878416, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.391)" }, "parent_node_id": "node_2165", "improvement_over_parent": null }, "node_2167": { "node_id": "node_2167", "content": "MODIFICATION: Increase 1 thickness by 58%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 203.94 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.940180707196, "fos_buckling": 1.543710784568049, "fos_yielding": 4.252600456629871, "deflection": 0.002006807037954038, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.580)" }, "parent_node_id": "node_2166", "improvement_over_parent": null }, "node_2168": { "node_id": "node_2168", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2167", "improvement_over_parent": null }, "node_2169": { "node_id": "node_2169", "content": "INITIAL DESIGN (Trace 308)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0041)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0048)]\n\nPerformance:\n Mass: 162.42 kg\n Factor of Safety: 0.87\n Max Deflection: 2.80e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 162.42385131829204, "fos_buckling": 0.8667786937491829, "fos_yielding": 3.0808275809609995, "deflection": 0.002798897200159716, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2170": { "node_id": "node_2170", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 185.35 kg\n Factor of Safety: 0.97\n Max Deflection: 2.45e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 185.3548514037986, "fos_buckling": 0.9686556430954069, "fos_yielding": 3.5107665540066395, "deflection": 0.0024549994949483013, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.155)" }, "parent_node_id": "node_2169", "improvement_over_parent": null }, "node_2171": { "node_id": "node_2171", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 198.68 kg\n Factor of Safety: 1.27\n Max Deflection: 2.18e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 198.67838547544383, "fos_buckling": 1.2719657889510159, "fos_yielding": 3.504428611253939, "deflection": 0.002181552566386099, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.004024)" }, "parent_node_id": "node_2170", "improvement_over_parent": null }, "node_2172": { "node_id": "node_2172", "content": "MODIFICATION: Increase 6 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 200.23 kg\n Factor of Safety: 1.27\n Max Deflection: 2.18e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 200.2337623428709, "fos_buckling": 1.2718317712287206, "fos_yielding": 3.5040593752693647, "deflection": 0.0021776444969437967, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.211)" }, "parent_node_id": "node_2171", "improvement_over_parent": null }, "node_2173": { "node_id": "node_2173", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n\nPerformance:\n Mass: 204.07 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.06617110958967, "fos_buckling": 1.5444709576663238, "fos_yielding": 4.255215242668034, "deflection": 0.0020057079693604593, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002592)" }, "parent_node_id": "node_2172", "improvement_over_parent": null }, "node_2174": { "node_id": "node_2174", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2173", "improvement_over_parent": null }, "node_2175": { "node_id": "node_2175", "content": "INITIAL DESIGN (Trace 309)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0009)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0011)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0011)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0005)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0010)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0008)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0015)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0010)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0012)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0010)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0014)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0010)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0009)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0012)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0012)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0016)]\n\nPerformance:\n Mass: 61.83 kg\n Factor of Safety: 0.45\n Max Deflection: 6.52e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 61.83108145694102, "fos_buckling": 0.453608008070885, "fos_yielding": 1.3338073590142647, "deflection": 0.006524306170339682, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2176": { "node_id": "node_2176", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0012)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0014)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0006)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0014)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0010)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0020)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0013)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0013)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0018)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0013)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0012)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0015)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0015)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0021)]\n\nPerformance:\n Mass: 79.61 kg\n Factor of Safety: 0.58\n Max Deflection: 5.07e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 79.61117345948838, "fos_buckling": 0.5787663469691876, "fos_yielding": 1.715309304222745, "deflection": 0.0050726904621099505, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.297)" }, "parent_node_id": "node_2175", "improvement_over_parent": null }, "node_2177": { "node_id": "node_2177", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0015)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0017)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0007)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0017)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0012)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0016)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0016)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0022)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0016)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0015)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0019)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0019)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0027)]\n\nPerformance:\n Mass: 98.34 kg\n Factor of Safety: 0.71\n Max Deflection: 4.11e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 98.33834396957377, "fos_buckling": 0.7080136437382843, "fos_yielding": 2.116139231367876, "deflection": 0.004111361974909485, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.245)" }, "parent_node_id": "node_2176", "improvement_over_parent": null }, "node_2178": { "node_id": "node_2178", "content": "MODIFICATION: Increase 3 thickness by 45%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0015)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0017)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0011)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0017)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0012)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0016)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0016)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0022)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0016)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0015)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0019)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0019)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0027)]\n\nPerformance:\n Mass: 98.76 kg\n Factor of Safety: 0.70\n Max Deflection: 4.10e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 98.75784151333919, "fos_buckling": 0.7049336475000832, "fos_yielding": 2.11658938842045, "deflection": 0.004097786352165806, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.447)" }, "parent_node_id": "node_2177", "improvement_over_parent": null }, "node_2179": { "node_id": "node_2179", "content": "MODIFICATION: Increase 12 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0015)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0017)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0011)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0017)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0012)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0016)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0016)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0022)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0016)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0021)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0019)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0019)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0027)]\n\nPerformance:\n Mass: 101.33 kg\n Factor of Safety: 0.84\n Max Deflection: 4.01e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 101.32769174974227, "fos_buckling": 0.8417875956328614, "fos_yielding": 2.1260543155039553, "deflection": 0.004013291041328993, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.387)" }, "parent_node_id": "node_2178", "improvement_over_parent": null }, "node_2180": { "node_id": "node_2180", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0032)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0029)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0021)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0024)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0035)]\n\nPerformance:\n Mass: 130.48 kg\n Factor of Safety: 1.06\n Max Deflection: 3.12e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 130.47870445468664, "fos_buckling": 1.0564847202540921, "fos_yielding": 2.7328877269519136, "deflection": 0.003122393547819372, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.304)" }, "parent_node_id": "node_2179", "improvement_over_parent": null }, "node_2181": { "node_id": "node_2181", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0042)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0038)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0046)]\n\nPerformance:\n Mass: 169.12 kg\n Factor of Safety: 1.32\n Max Deflection: 2.41e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 169.11871715890808, "fos_buckling": 1.3223379090850507, "fos_yielding": 3.533972266460269, "deflection": 0.0024148587159659876, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.319)" }, "parent_node_id": "node_2180", "improvement_over_parent": null }, "node_2182": { "node_id": "node_2182", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.77 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.7711916994981, "fos_buckling": 1.5427068611003991, "fos_yielding": 4.249226186753319, "deflection": 0.002008563537572116, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.225)" }, "parent_node_id": "node_2181", "improvement_over_parent": null }, "node_2183": { "node_id": "node_2183", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2182", "improvement_over_parent": null }, "node_2184": { "node_id": "node_2184", "content": "INITIAL DESIGN (Trace 310)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nPerformance:\n Mass: 156.45 kg\n Factor of Safety: 1.02\n Max Deflection: 2.56e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 156.4463074235472, "fos_buckling": 1.0236803853389362, "fos_yielding": 2.7718648789852858, "deflection": 0.002562664230038842, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2185": { "node_id": "node_2185", "content": "MODIFICATION: Increase 12 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nPerformance:\n Mass: 158.98 kg\n Factor of Safety: 1.02\n Max Deflection: 2.54e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 158.97715738235505, "fos_buckling": 1.0211362805026916, "fos_yielding": 2.7649760932421574, "deflection": 0.00253535202268957, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.211)" }, "parent_node_id": "node_2184", "improvement_over_parent": null }, "node_2186": { "node_id": "node_2186", "content": "MODIFICATION: Increase 6 thickness by 42%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nPerformance:\n Mass: 163.84 kg\n Factor of Safety: 1.23\n Max Deflection: 2.49e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 163.84033836857822, "fos_buckling": 1.234009685177633, "fos_yielding": 3.4120914775584024, "deflection": 0.0024889431786755726, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.416)" }, "parent_node_id": "node_2185", "improvement_over_parent": null }, "node_2187": { "node_id": "node_2187", "content": "MODIFICATION: Increase 5 thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nPerformance:\n Mass: 164.57 kg\n Factor of Safety: 1.29\n Max Deflection: 2.48e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 164.56681433149103, "fos_buckling": 1.2920707067324717, "fos_yielding": 3.439620984731245, "deflection": 0.002480990901460773, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.330)" }, "parent_node_id": "node_2186", "improvement_over_parent": null }, "node_2188": { "node_id": "node_2188", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.99 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.985192744307, "fos_buckling": 1.5439551304832797, "fos_yielding": 4.253421949206583, "deflection": 0.0020065213632937413, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.263)" }, "parent_node_id": "node_2187", "improvement_over_parent": null }, "node_2189": { "node_id": "node_2189", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2188", "improvement_over_parent": null }, "node_2190": { "node_id": "node_2190", "content": "INITIAL DESIGN (Trace 311)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0015)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0042)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0038)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0020)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0046)]\n\nPerformance:\n Mass: 162.68 kg\n Factor of Safety: 1.19\n Max Deflection: 2.49e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 162.68477653454468, "fos_buckling": 1.190562592329342, "fos_yielding": 3.3435681510342325, "deflection": 0.002490785250355465, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2191": { "node_id": "node_2191", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0025)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 196.70 kg\n Factor of Safety: 1.39\n Max Deflection: 2.06e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 196.69611455942672, "fos_buckling": 1.391284143089414, "fos_yielding": 4.051488255889995, "deflection": 0.002064494523775505, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.229)" }, "parent_node_id": "node_2190", "improvement_over_parent": null }, "node_2192": { "node_id": "node_2192", "content": "MODIFICATION: Increase 14 thickness by 56%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 201.95 kg\n Factor of Safety: 1.38\n Max Deflection: 2.04e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 201.94958212391245, "fos_buckling": 1.3832836689441403, "fos_yielding": 4.057147099853519, "deflection": 0.0020417552641009682, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.565)" }, "parent_node_id": "node_2191", "improvement_over_parent": null }, "node_2193": { "node_id": "node_2193", "content": "MODIFICATION: Increase 0 thickness by 66%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 204.02 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.02310476317157, "fos_buckling": 1.5442470306330986, "fos_yielding": 4.254456845436452, "deflection": 0.002006050662575132, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.664)" }, "parent_node_id": "node_2192", "improvement_over_parent": null }, "node_2194": { "node_id": "node_2194", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2193", "improvement_over_parent": null }, "node_2195": { "node_id": "node_2195", "content": "INITIAL DESIGN (Trace 312)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0009)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0010)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0027)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0012)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0025)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0023)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0032)]\n\nPerformance:\n Mass: 116.18 kg\n Factor of Safety: 0.82\n Max Deflection: 3.43e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 116.18155570782653, "fos_buckling": 0.8233371659483448, "fos_yielding": 2.537573028136544, "deflection": 0.0034319359188854145, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2196": { "node_id": "node_2196", "content": "MODIFICATION: Increase 7 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0009)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0013)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0027)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0012)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0025)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0023)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0032)]\n\nPerformance:\n Mass: 117.03 kg\n Factor of Safety: 0.89\n Max Deflection: 3.41e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 117.03408882272869, "fos_buckling": 0.8862835669395558, "fos_yielding": 2.5429139810949537, "deflection": 0.003412244637770573, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.292)" }, "parent_node_id": "node_2195", "improvement_over_parent": null }, "node_2197": { "node_id": "node_2197", "content": "MODIFICATION: Increase 3 thickness by 37%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0013)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0027)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0012)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0025)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0023)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0032)]\n\nPerformance:\n Mass: 117.47 kg\n Factor of Safety: 0.99\n Max Deflection: 3.40e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 117.47313416506776, "fos_buckling": 0.9903189090219282, "fos_yielding": 2.543436141152278, "deflection": 0.0034038390715264515, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.372)" }, "parent_node_id": "node_2196", "improvement_over_parent": null }, "node_2198": { "node_id": "node_2198", "content": "MODIFICATION: Increase 7 thickness by 52%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0027)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0012)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0025)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0023)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0032)]\n\nPerformance:\n Mass: 119.37 kg\n Factor of Safety: 0.99\n Max Deflection: 3.38e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 119.3675054643031, "fos_buckling": 0.9894758044147957, "fos_yielding": 2.5511625243553318, "deflection": 0.0033760544816360985, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.515)" }, "parent_node_id": "node_2197", "improvement_over_parent": null }, "node_2199": { "node_id": "node_2199", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0035)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0016)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0029)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0042)]\n\nPerformance:\n Mass: 152.32 kg\n Factor of Safety: 1.22\n Max Deflection: 2.65e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 152.31729352246612, "fos_buckling": 1.2237649213335828, "fos_yielding": 3.248201557268741, "deflection": 0.0026515466452222414, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.295)" }, "parent_node_id": "node_2198", "improvement_over_parent": null }, "node_2200": { "node_id": "node_2200", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0045)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0018)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0049)]\n\nPerformance:\n Mass: 175.82 kg\n Factor of Safety: 1.38\n Max Deflection: 2.30e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 175.81768227186927, "fos_buckling": 1.3808020974050288, "fos_yielding": 3.7434381008990516, "deflection": 0.0023007296836758803, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.167)" }, "parent_node_id": "node_2199", "improvement_over_parent": null }, "node_2201": { "node_id": "node_2201", "content": "MODIFICATION: Increase 11 thickness by 60%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0045)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0049)]\n\nPerformance:\n Mass: 179.36 kg\n Factor of Safety: 1.39\n Max Deflection: 2.28e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 179.3559509800422, "fos_buckling": 1.3892272923632343, "fos_yielding": 3.7456342030406082, "deflection": 0.002278481703465166, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.597)" }, "parent_node_id": "node_2200", "improvement_over_parent": null }, "node_2202": { "node_id": "node_2202", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 204.00 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.0046432463066, "fos_buckling": 1.5441506722026446, "fos_yielding": 4.254087583705843, "deflection": 0.002006287998006769, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.151)" }, "parent_node_id": "node_2201", "improvement_over_parent": null }, "node_2203": { "node_id": "node_2203", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2202", "improvement_over_parent": null }, "node_2204": { "node_id": "node_2204", "content": "INITIAL DESIGN (Trace 313)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0019)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0028)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0015)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0023)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0014)]\n\nPerformance:\n Mass: 96.39 kg\n Factor of Safety: 0.53\n Max Deflection: 5.19e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 96.39320019179712, "fos_buckling": 0.5338658917736303, "fos_yielding": 1.707516855394215, "deflection": 0.005192811666944366, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2205": { "node_id": "node_2205", "content": "MODIFICATION: Increase 14 thickness by 46%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0019)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0028)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0015)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0023)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0021)]\n\nPerformance:\n Mass: 100.15 kg\n Factor of Safety: 0.59\n Max Deflection: 4.65e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 100.15342174921415, "fos_buckling": 0.5882493803677719, "fos_yielding": 2.0201679876364675, "deflection": 0.004652634972839866, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.458)" }, "parent_node_id": "node_2204", "improvement_over_parent": null }, "node_2206": { "node_id": "node_2206", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0020)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0027)]\n\nPerformance:\n Mass: 130.03 kg\n Factor of Safety: 0.74\n Max Deflection: 3.59e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 130.02640192255632, "fos_buckling": 0.7408095683710195, "fos_yielding": 2.6186426648043883, "deflection": 0.0035870973711557117, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.318)" }, "parent_node_id": "node_2205", "improvement_over_parent": null }, "node_2207": { "node_id": "node_2207", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0020)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0027)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n\nPerformance:\n Mass: 145.23 kg\n Factor of Safety: 0.93\n Max Deflection: 2.94e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 145.225167385203, "fos_buckling": 0.9295367021097074, "fos_yielding": 2.5023974710853363, "deflection": 0.002943268919614562, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.003407)" }, "parent_node_id": "node_2206", "improvement_over_parent": null }, "node_2208": { "node_id": "node_2208", "content": "MODIFICATION: Increase 15 thickness by 60%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0020)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0027)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0055)]\n\nPerformance:\n Mass: 153.37 kg\n Factor of Safety: 0.93\n Max Deflection: 2.89e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 153.36867632107257, "fos_buckling": 0.9296393898729124, "fos_yielding": 2.49041429946757, "deflection": 0.0028853114475283744, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(15, thickness, 1.603)" }, "parent_node_id": "node_2207", "improvement_over_parent": null }, "node_2209": { "node_id": "node_2209", "content": "MODIFICATION: Increase 6 thickness by 58%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0020)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0027)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0055)]\n\nPerformance:\n Mass: 159.38 kg\n Factor of Safety: 0.94\n Max Deflection: 2.82e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 159.37842200543037, "fos_buckling": 0.9353322815073349, "fos_yielding": 3.1101291971155445, "deflection": 0.00282487703181709, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.577)" }, "parent_node_id": "node_2208", "improvement_over_parent": null }, "node_2210": { "node_id": "node_2210", "content": "MODIFICATION: Increase 11 thickness by 34%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0027)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0055)]\n\nPerformance:\n Mass: 161.55 kg\n Factor of Safety: 0.94\n Max Deflection: 2.81e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 161.54764218495401, "fos_buckling": 0.9357401341725471, "fos_yielding": 3.111485372356448, "deflection": 0.0028080599646425307, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.340)" }, "parent_node_id": "node_2209", "improvement_over_parent": null }, "node_2211": { "node_id": "node_2211", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0035)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0070)]\n\nPerformance:\n Mass: 202.80 kg\n Factor of Safety: 1.15\n Max Deflection: 2.24e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 202.8032108595327, "fos_buckling": 1.1535338916388322, "fos_yielding": 3.924112859645535, "deflection": 0.0022360731757479417, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.282)" }, "parent_node_id": "node_2210", "improvement_over_parent": null }, "node_2212": { "node_id": "node_2212", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2211", "improvement_over_parent": null }, "node_2213": { "node_id": "node_2213", "content": "INITIAL DESIGN (Trace 314)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0012)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0041)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0048)]\n\nPerformance:\n Mass: 166.04 kg\n Factor of Safety: 0.62\n Max Deflection: 2.58e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 166.0409690826505, "fos_buckling": 0.6240562391263191, "fos_yielding": 3.0748021641274588, "deflection": 0.002583700218706118, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2214": { "node_id": "node_2214", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 189.47 kg\n Factor of Safety: 0.70\n Max Deflection: 2.27e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 189.47489025673087, "fos_buckling": 0.7030809397541362, "fos_yielding": 3.503425394948344, "deflection": 0.0022673153190797216, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.155)" }, "parent_node_id": "node_2213", "improvement_over_parent": null }, "node_2215": { "node_id": "node_2215", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n\nPerformance:\n Mass: 199.12 kg\n Factor of Safety: 1.27\n Max Deflection: 2.19e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 199.1166551790139, "fos_buckling": 1.2709720292890863, "fos_yielding": 3.501137063569415, "deflection": 0.0021874517238242987, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.003423)" }, "parent_node_id": "node_2214", "improvement_over_parent": null }, "node_2216": { "node_id": "node_2216", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n\nPerformance:\n Mass: 202.95 kg\n Factor of Safety: 1.22\n Max Deflection: 2.02e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 202.94906394573266, "fos_buckling": 1.2234453241517866, "fos_yielding": 4.250595132647519, "deflection": 0.002015967704191162, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002592)" }, "parent_node_id": "node_2215", "improvement_over_parent": null }, "node_2217": { "node_id": "node_2217", "content": "MODIFICATION: Increase 3 thickness by 56%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n\nPerformance:\n Mass: 203.90 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.89863753239857, "fos_buckling": 1.5434674604671095, "fos_yielding": 4.251778172708811, "deflection": 0.002007350765925123, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.558)" }, "parent_node_id": "node_2216", "improvement_over_parent": null }, "node_2218": { "node_id": "node_2218", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2217", "improvement_over_parent": null }, "node_2219": { "node_id": "node_2219", "content": "INITIAL DESIGN (Trace 315)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0017)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0030)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0022)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0025)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0029)]\n\nPerformance:\n Mass: 120.06 kg\n Factor of Safety: 0.68\n Max Deflection: 3.49e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 120.05797279512878, "fos_buckling": 0.6750301300626214, "fos_yielding": 2.336133865038789, "deflection": 0.003485353889927806, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2220": { "node_id": "node_2220", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0035)]\n\nPerformance:\n Mass: 141.39 kg\n Factor of Safety: 0.78\n Max Deflection: 2.96e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 141.3884042514508, "fos_buckling": 0.7786067420724234, "fos_yielding": 2.746503430465184, "deflection": 0.0029626270386388528, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.190)" }, "parent_node_id": "node_2219", "improvement_over_parent": null }, "node_2221": { "node_id": "node_2221", "content": "MODIFICATION: Increase 9 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0035)]\n\nPerformance:\n Mass: 143.06 kg\n Factor of Safety: 0.78\n Max Deflection: 2.94e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 143.05624170441436, "fos_buckling": 0.7786067420724236, "fos_yielding": 2.746503430465184, "deflection": 0.002940167162790904, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.307)" }, "parent_node_id": "node_2220", "improvement_over_parent": null }, "node_2222": { "node_id": "node_2222", "content": "MODIFICATION: Increase 14 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n\nPerformance:\n Mass: 147.37 kg\n Factor of Safety: 0.78\n Max Deflection: 2.81e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 147.36918446880182, "fos_buckling": 0.7783766499074727, "fos_yielding": 2.7456979539113293, "deflection": 0.0028062454251437784, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.229)" }, "parent_node_id": "node_2221", "improvement_over_parent": null }, "node_2223": { "node_id": "node_2223", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0045)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0049)]\n\nPerformance:\n Mass: 166.93 kg\n Factor of Safety: 0.87\n Max Deflection: 2.48e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 166.93472884163583, "fos_buckling": 0.8656816962058955, "fos_yielding": 3.106579979144508, "deflection": 0.002480170040806971, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.144)" }, "parent_node_id": "node_2222", "improvement_over_parent": null }, "node_2224": { "node_id": "node_2224", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 188.21 kg\n Factor of Safety: 0.96\n Max Deflection: 2.20e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 188.20637738823706, "fos_buckling": 0.9563415102410066, "fos_yielding": 3.4979706292386816, "deflection": 0.0022025827994756495, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.140)" }, "parent_node_id": "node_2223", "improvement_over_parent": null }, "node_2225": { "node_id": "node_2225", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n\nPerformance:\n Mass: 203.79 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.7877140206896, "fos_buckling": 1.5432181536758804, "fos_yielding": 4.248380565789674, "deflection": 0.0020083612025541464, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.003945)" }, "parent_node_id": "node_2224", "improvement_over_parent": null }, "node_2226": { "node_id": "node_2226", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2225", "improvement_over_parent": null }, "node_2227": { "node_id": "node_2227", "content": "INITIAL DESIGN (Trace 316)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0009)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0016)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0010)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0016)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0011)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0012)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0015)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0021)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0015)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0019)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0017)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0017)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0024)]\n\nPerformance:\n Mass: 92.03 kg\n Factor of Safety: 0.69\n Max Deflection: 4.41e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 92.03239745415217, "fos_buckling": 0.6949076024094686, "fos_yielding": 1.9659177072703453, "deflection": 0.004412471992875015, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2228": { "node_id": "node_2228", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0011)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0019)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0012)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0014)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0014)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0018)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0025)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0018)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0023)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0021)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0029)]\n\nPerformance:\n Mass: 109.44 kg\n Factor of Safety: 0.81\n Max Deflection: 3.71e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 109.44122654252506, "fos_buckling": 0.8132775385464929, "fos_yielding": 2.3350859356494755, "deflection": 0.003714616094165018, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.198)" }, "parent_node_id": "node_2227", "improvement_over_parent": null }, "node_2229": { "node_id": "node_2229", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0014)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0031)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0022)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0026)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0037)]\n\nPerformance:\n Mass: 135.57 kg\n Factor of Safety: 0.98\n Max Deflection: 3.00e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 135.5693471410335, "fos_buckling": 0.9832872576927717, "fos_yielding": 2.887535014283567, "deflection": 0.0030035916022389474, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.253)" }, "parent_node_id": "node_2228", "improvement_over_parent": null }, "node_2230": { "node_id": "node_2230", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0016)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0042)]\n\nPerformance:\n Mass: 155.45 kg\n Factor of Safety: 1.11\n Max Deflection: 2.62e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 155.449854476124, "fos_buckling": 1.1065579424861403, "fos_yielding": 3.306581170348813, "deflection": 0.002622704963191205, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.157)" }, "parent_node_id": "node_2229", "improvement_over_parent": null }, "node_2231": { "node_id": "node_2231", "content": "MODIFICATION: Increase 7 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0016)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0042)]\n\nPerformance:\n Mass: 156.88 kg\n Factor of Safety: 1.16\n Max Deflection: 2.62e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 156.8796655304617, "fos_buckling": 1.1600703658700748, "fos_yielding": 3.310932570024038, "deflection": 0.0026151443977853557, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.253)" }, "parent_node_id": "node_2230", "improvement_over_parent": null }, "node_2232": { "node_id": "node_2232", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 202.07 kg\n Factor of Safety: 1.43\n Max Deflection: 2.04e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 202.07489889041796, "fos_buckling": 1.4297071481230466, "fos_yielding": 4.252509980279687, "deflection": 0.0020357295317959237, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.316)" }, "parent_node_id": "node_2231", "improvement_over_parent": null }, "node_2233": { "node_id": "node_2233", "content": "MODIFICATION: Increase 0 thickness by 51%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.81 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.80882638418592, "fos_buckling": 1.5429086970272332, "fos_yielding": 4.24990392904113, "deflection": 0.002008225662313062, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.506)" }, "parent_node_id": "node_2232", "improvement_over_parent": null }, "node_2234": { "node_id": "node_2234", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2233", "improvement_over_parent": null }, "node_2235": { "node_id": "node_2235", "content": "INITIAL DESIGN (Trace 317)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0013)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0015)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0030)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0020)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0017)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0023)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0033)]\n\nPerformance:\n Mass: 96.73 kg\n Factor of Safety: 0.31\n Max Deflection: 6.53e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 96.73100816442036, "fos_buckling": 0.3050189808638776, "fos_yielding": 1.337409978744745, "deflection": 6531213844849.275, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2236": { "node_id": "node_2236", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0035)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0023)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0020)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0027)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0038)]\n\nPerformance:\n Mass: 111.58 kg\n Factor of Safety: 0.19\n Max Deflection: 6.25e+12 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 111.57978347666507, "fos_buckling": 0.19039405712971427, "fos_yielding": 1.1039001586478736, "deflection": 6254331256474.422, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.163)" }, "parent_node_id": "node_2235", "improvement_over_parent": null }, "node_2237": { "node_id": "node_2237", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0023)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nPerformance:\n Mass: 127.70 kg\n Factor of Safety: 0.09\n Max Deflection: 2.43e+13 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 127.7015696037944, "fos_buckling": 0.09354303363206554, "fos_yielding": 0.40030803130115894, "deflection": 24268353419740.33, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.155)" }, "parent_node_id": "node_2236", "improvement_over_parent": null }, "node_2238": { "node_id": "node_2238", "content": "MODIFICATION: Increase 9 thickness by 53%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nPerformance:\n Mass: 132.78 kg\n Factor of Safety: 0.19\n Max Deflection: 7.15e+12 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 132.77644945692722, "fos_buckling": 0.18708606726413107, "fos_yielding": 1.2397997167090065, "deflection": 7150590891409.621, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.529)" }, "parent_node_id": "node_2237", "improvement_over_parent": null }, "node_2239": { "node_id": "node_2239", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 164.94 kg\n Factor of Safety: 0.52\n Max Deflection: 1.43e+12 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 164.94249422844734, "fos_buckling": 0.5218689290589166, "fos_yielding": 1.9891389081077724, "deflection": 1430170516138.1091, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.266)" }, "parent_node_id": "node_2238", "improvement_over_parent": null }, "node_2240": { "node_id": "node_2240", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n\nPerformance:\n Mass: 172.17 kg\n Factor of Safety: 0.34\n Max Deflection: 3.85e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 172.17364001665575, "fos_buckling": 0.3402618528880151, "fos_yielding": 2.534092889441089, "deflection": 0.00384574309390849, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.003560)" }, "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n\nPerformance:\n Mass: 181.82 kg\n Factor of Safety: 0.34\n Max Deflection: 3.19e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 181.81540493893877, "fos_buckling": 0.3393803927935139, "fos_yielding": 2.527528234194423, "deflection": 0.0031891182149686287, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.003423)" }, "parent_node_id": "node_2240", "improvement_over_parent": null }, "node_2242": { "node_id": "node_2242", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n\nPerformance:\n Mass: 204.02 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.01838962265256, "fos_buckling": 1.5444170610601076, "fos_yielding": 4.254991936564134, "deflection": 0.002006117262856278, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.004709)" }, "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "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 318)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0033)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0023)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0039)]\n\nPerformance:\n Mass: 133.77 kg\n Factor of Safety: 0.95\n Max Deflection: 3.06e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 133.76569812376496, "fos_buckling": 0.9533728133687934, "fos_yielding": 2.495695271233015, "deflection": 0.003057688755273914, "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: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0033)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0023)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0039)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0027)]\n\nPerformance:\n Mass: 144.73 kg\n Factor of Safety: 1.16\n Max Deflection: 2.82e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 144.7336240942356, "fos_buckling": 1.157038647212309, "fos_yielding": 3.028842274490774, "deflection": 0.0028174215226207003, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.002712)" }, "parent_node_id": "node_2244", "improvement_over_parent": null }, "node_2246": { "node_id": "node_2246", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0048)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n\nPerformance:\n Mass: 175.79 kg\n Factor of Safety: 1.37\n Max Deflection: 2.32e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 175.7869716581866, "fos_buckling": 1.3660640716153114, "fos_yielding": 3.671826877301046, "deflection": 0.002324249353759153, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.232)" }, "parent_node_id": "node_2245", "improvement_over_parent": null }, "node_2247": { "node_id": "node_2247", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 203.95 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.9503773156105, "fos_buckling": 1.5438001652605742, "fos_yielding": 4.25289995777607, "deflection": 0.002006839614459799, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.176)" }, "parent_node_id": "node_2246", "improvement_over_parent": null }, "node_2248": { "node_id": "node_2248", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2247", "improvement_over_parent": null }, "node_2249": { "node_id": "node_2249", "content": "INITIAL DESIGN (Trace 319)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0045)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0022)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0049)]\n\nPerformance:\n Mass: 173.37 kg\n Factor of Safety: 1.32\n Max Deflection: 2.31e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 173.3720868736921, "fos_buckling": 1.319363840243148, "fos_yielding": 3.7238860424081732, "deflection": 0.0023126067645558466, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2250": { "node_id": "node_2250", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 196.63 kg\n Factor of Safety: 1.47\n Max Deflection: 2.04e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 196.63365203361877, "fos_buckling": 1.4709896491316372, "fos_yielding": 4.216574649604445, "deflection": 0.002042274322447063, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.147)" }, "parent_node_id": "node_2249", "improvement_over_parent": null }, "node_2251": { "node_id": "node_2251", "content": "MODIFICATION: Increase 13 thickness by 54%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 201.76 kg\n Factor of Safety: 1.50\n Max Deflection: 2.02e-03 m\n Status: FEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 201.7639334639381, "fos_buckling": 1.5025296270584363, "fos_yielding": 4.19575476277584, "deflection": 0.0020172844532110154, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.538)" }, "parent_node_id": "node_2250", "improvement_over_parent": null }, "node_2252": { "node_id": "node_2252", "content": "MODIFICATION: Increase 9 thickness by 34%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 204.03 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.02784058566294, "fos_buckling": 1.5442560028793613, "fos_yielding": 4.2544796292945, "deflection": 0.0020060367808318372, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.340)" }, "parent_node_id": "node_2251", "improvement_over_parent": null }, "node_2253": { "node_id": "node_2253", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2252", "improvement_over_parent": null }, "node_2254": { "node_id": "node_2254", "content": "INITIAL DESIGN (Trace 320)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0042)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0038)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0045)]\n\nPerformance:\n Mass: 145.90 kg\n Factor of Safety: 0.97\n Max Deflection: 3.22e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 145.8984456040842, "fos_buckling": 0.9652420859127266, "fos_yielding": 2.71153534971308, "deflection": 0.003222997704230909, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2255": { "node_id": "node_2255", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0042)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0038)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0045)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n\nPerformance:\n Mass: 148.22 kg\n Factor of Safety: 0.97\n Max Deflection: 3.17e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 148.21972630021884, "fos_buckling": 0.9651658965031747, "fos_yielding": 2.7113213202169684, "deflection": 0.003173341865677612, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.001801)" }, "parent_node_id": "node_2254", "improvement_over_parent": null }, "node_2256": { "node_id": "node_2256", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0042)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0038)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0045)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n\nPerformance:\n Mass: 151.38 kg\n Factor of Safety: 0.84\n Max Deflection: 3.06e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 151.3810635953379, "fos_buckling": 0.8438913988976062, "fos_yielding": 2.7107385207358328, "deflection": 0.003059984566925429, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002102)" }, "parent_node_id": "node_2255", "improvement_over_parent": null }, "node_2257": { "node_id": "node_2257", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0042)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0038)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0045)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n\nPerformance:\n Mass: 167.14 kg\n Factor of Safety: 1.31\n Max Deflection: 2.48e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 167.14266861619623, "fos_buckling": 1.3140810301085628, "fos_yielding": 3.018033022617443, "deflection": 0.0024843412061173837, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.003543)" }, "parent_node_id": "node_2256", "improvement_over_parent": null }, "node_2258": { "node_id": "node_2258", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n\nPerformance:\n Mass: 202.63 kg\n Factor of Safety: 1.54\n Max Deflection: 2.05e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 202.62740415807065, "fos_buckling": 1.5409245322530034, "fos_yielding": 3.6605344834539597, "deflection": 0.0020531626279364813, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.233)" }, "parent_node_id": "node_2257", "improvement_over_parent": null }, "node_2259": { "node_id": "node_2259", "content": "MODIFICATION: Increase 1 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n\nPerformance:\n Mass: 203.96 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.96110645636617, "fos_buckling": 1.5438435872169245, "fos_yielding": 4.253051834947856, "deflection": 0.002006629222720077, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.229)" }, "parent_node_id": "node_2258", "improvement_over_parent": null }, "node_2260": { "node_id": "node_2260", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2259", "improvement_over_parent": null }, "node_2261": { "node_id": "node_2261", "content": "INITIAL DESIGN (Trace 321)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0014)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0016)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0031)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0026)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0037)]\n\nPerformance:\n Mass: 124.81 kg\n Factor of Safety: 0.82\n Max Deflection: 3.32e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 124.8136178103563, "fos_buckling": 0.8151269660054377, "fos_yielding": 2.1525574117377384, "deflection": 0.0033245576137147562, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2262": { "node_id": "node_2262", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0017)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0032)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0038)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0045)]\n\nPerformance:\n Mass: 150.63 kg\n Factor of Safety: 0.97\n Max Deflection: 2.76e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 150.63171155451948, "fos_buckling": 0.9690470882827688, "fos_yielding": 2.600669726858535, "deflection": 0.0027589609012930393, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.222)" }, "parent_node_id": "node_2261", "improvement_over_parent": null }, "node_2263": { "node_id": "node_2263", "content": "MODIFICATION: Increase 6 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0017)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0038)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0045)]\n\nPerformance:\n Mass: 154.54 kg\n Factor of Safety: 0.97\n Max Deflection: 2.76e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 154.53533346735534, "fos_buckling": 0.9690470882827688, "fos_yielding": 2.600669726858535, "deflection": 0.0027589609012930393, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.305)" }, "parent_node_id": "node_2262", "improvement_over_parent": null }, "node_2264": { "node_id": "node_2264", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 188.65 kg\n Factor of Safety: 1.16\n Max Deflection: 2.26e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 188.64756069933514, "fos_buckling": 1.160274258892536, "fos_yielding": 3.181424276223618, "deflection": 0.002263568793937951, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.242)" }, "parent_node_id": "node_2263", "improvement_over_parent": null }, "node_2265": { "node_id": "node_2265", "content": "MODIFICATION: Increase 0 thickness by 43%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 190.20 kg\n Factor of Safety: 1.16\n Max Deflection: 2.22e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 190.19637182447747, "fos_buckling": 1.1600991344485287, "fos_yielding": 3.180944092203973, "deflection": 0.002215311278396462, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.431)" }, "parent_node_id": "node_2264", "improvement_over_parent": null }, "node_2266": { "node_id": "node_2266", "content": "MODIFICATION: Increase 4 thickness by 50%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 192.47 kg\n Factor of Safety: 1.27\n Max Deflection: 2.13e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 192.47229492504647, "fos_buckling": 1.2652502341992993, "fos_yielding": 4.233184525299729, "deflection": 0.00212899564942864, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.504)" }, "parent_node_id": "node_2265", "improvement_over_parent": null }, "node_2267": { "node_id": "node_2267", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n\nPerformance:\n Mass: 203.80 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.79693692715333, "fos_buckling": 1.5428638823400602, "fos_yielding": 4.24975795387379, "deflection": 0.002008287861978314, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.003363)" }, "parent_node_id": "node_2266", "improvement_over_parent": null }, "node_2268": { "node_id": "node_2268", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2267", "improvement_over_parent": null }, "node_2269": { "node_id": "node_2269", "content": "INITIAL DESIGN (Trace 322)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0031)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0020)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0023)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0033)]\n\nPerformance:\n Mass: 112.59 kg\n Factor of Safety: 0.23\n Max Deflection: 5.11e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 112.58945709874793, "fos_buckling": 0.22638217838256763, "fos_yielding": 1.5775659126098256, "deflection": 0.005114214608860495, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2270": { "node_id": "node_2270", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0031)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0020)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0023)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0033)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0022)]\n\nPerformance:\n Mass: 123.64 kg\n Factor of Safety: 0.91\n Max Deflection: 3.28e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 123.64031170923552, "fos_buckling": 0.9140484775986445, "fos_yielding": 2.6489693158472405, "deflection": 0.0032780630521111694, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.002237)" }, "parent_node_id": "node_2269", "improvement_over_parent": null }, "node_2271": { "node_id": "node_2271", "content": "MODIFICATION: Increase 10 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0031)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0025)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0023)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0033)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0022)]\n\nPerformance:\n Mass: 125.33 kg\n Factor of Safety: 0.87\n Max Deflection: 3.26e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 125.33115499454487, "fos_buckling": 0.8713581802166707, "fos_yielding": 2.6497520575469835, "deflection": 0.0032604107409763905, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.258)" }, "parent_node_id": "node_2270", "improvement_over_parent": null }, "node_2272": { "node_id": "node_2272", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0027)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0038)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0026)]\n\nPerformance:\n Mass: 143.23 kg\n Factor of Safety: 0.98\n Max Deflection: 2.86e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 143.23081425872653, "fos_buckling": 0.9798583086260841, "fos_yielding": 3.024886568813049, "deflection": 0.0028559746143209676, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.152)" }, "parent_node_id": "node_2271", "improvement_over_parent": null }, "node_2273": { "node_id": "node_2273", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0045)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0030)]\n\nPerformance:\n Mass: 164.00 kg\n Factor of Safety: 1.10\n Max Deflection: 2.50e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 164.0021263416154, "fos_buckling": 1.1009121382616842, "fos_yielding": 3.4591793921248337, "deflection": 0.0024973100353842307, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.156)" }, "parent_node_id": "node_2272", "improvement_over_parent": null }, "node_2274": { "node_id": "node_2274", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n\nPerformance:\n Mass: 202.24 kg\n Factor of Safety: 1.31\n Max Deflection: 2.03e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 202.23946674243638, "fos_buckling": 1.3103175033061796, "fos_yielding": 4.255790344104623, "deflection": 0.0020296810285784987, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.256)" }, "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "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 323)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0023)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0027)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 179.68 kg\n Factor of Safety: 0.28\n Max Deflection: 6.79e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 179.67965697312923, "fos_buckling": 0.2836686356297128, "fos_yielding": 1.5571326944239086, "deflection": 0.006792815738443868, "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: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0023)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0027)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n\nPerformance:\n Mass: 186.91 kg\n Factor of Safety: 1.26\n Max Deflection: 2.25e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 186.91080276133764, "fos_buckling": 1.2611097754356604, "fos_yielding": 3.5058557548557325, "deflection": 0.0022461648596429087, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.003560)" }, "parent_node_id": "node_2276", "improvement_over_parent": null }, "node_2278": { "node_id": "node_2278", "content": "MODIFICATION: Increase 11 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0023)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0047)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0027)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n\nPerformance:\n Mass: 189.43 kg\n Factor of Safety: 1.27\n Max Deflection: 2.23e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 189.427969951616, "fos_buckling": 1.2723136933977246, "fos_yielding": 3.504958213421805, "deflection": 0.0022302827286993137, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.181)" }, "parent_node_id": "node_2277", "improvement_over_parent": null }, "node_2279": { "node_id": "node_2279", "content": "MODIFICATION: Increase 11 thickness by 59%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0023)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0074)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0027)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n\nPerformance:\n Mass: 198.32 kg\n Factor of Safety: 1.27\n Max Deflection: 2.19e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 198.3208507747789, "fos_buckling": 1.2711639724391826, "fos_yielding": 3.501790972561554, "deflection": 0.0021947495610629593, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.595)" }, "parent_node_id": "node_2278", "improvement_over_parent": null }, "node_2280": { "node_id": "node_2280", "content": "MODIFICATION: Increase 13 thickness by 47%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0023)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0074)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0027)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0082)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n\nPerformance:\n Mass: 211.20 kg\n Factor of Safety: 1.40\n Max Deflection: 1.96e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 211.19760365463122, "fos_buckling": 1.398454878841322, "fos_yielding": 3.498738987375161, "deflection": 0.001959271172857829, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.475)" }, "parent_node_id": "node_2279", "improvement_over_parent": null }, "node_2281": { "node_id": "node_2281", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0023)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0074)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0027)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0082)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n\nPerformance:\n Mass: 215.03 kg\n Factor of Safety: 1.35\n Max Deflection: 1.88e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 215.03001242135, "fos_buckling": 1.3505560601489892, "fos_yielding": 3.937574263218151, "deflection": 0.0018846149989097656, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002592)" }, "parent_node_id": "node_2280", "improvement_over_parent": null }, "node_2282": { "node_id": "node_2282", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2281", "improvement_over_parent": null }, "node_2283": { "node_id": "node_2283", "content": "INITIAL DESIGN (Trace 324)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0045)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0049)]\n\nPerformance:\n Mass: 173.63 kg\n Factor of Safety: 1.15\n Max Deflection: 2.48e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 173.62584354827686, "fos_buckling": 1.1530671658689802, "fos_yielding": 3.1132740640944716, "deflection": 0.002482531795237831, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2284": { "node_id": "node_2284", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0045)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0049)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n\nPerformance:\n Mass: 177.03 kg\n Factor of Safety: 1.35\n Max Deflection: 2.28e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 177.02695445915208, "fos_buckling": 1.3503057010123893, "fos_yielding": 3.777855095337318, "deflection": 0.0022814168430319967, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002275)" }, "parent_node_id": "node_2283", "improvement_over_parent": null }, "node_2285": { "node_id": "node_2285", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n\nPerformance:\n Mass: 199.46 kg\n Factor of Safety: 1.49\n Max Deflection: 2.03e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 199.46133285053492, "fos_buckling": 1.4921995910875954, "fos_yielding": 4.2503931064541325, "deflection": 0.002027798289089828, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.139)" }, "parent_node_id": "node_2284", "improvement_over_parent": null }, "node_2286": { "node_id": "node_2286", "content": "MODIFICATION: Increase 13 thickness by 43%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0056)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n\nPerformance:\n Mass: 205.30 kg\n Factor of Safety: 1.48\n Max Deflection: 2.01e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 205.3046041883381, "fos_buckling": 1.4813245734810072, "fos_yielding": 4.237379038436904, "deflection": 0.002012360203245603, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.435)" }, "parent_node_id": "node_2285", "improvement_over_parent": null }, "node_2287": { "node_id": "node_2287", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2286", "improvement_over_parent": null }, "node_2288": { "node_id": "node_2288", "content": "INITIAL DESIGN (Trace 325)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 154.10 kg\n Factor of Safety: 0.62\n Max Deflection: 3.13e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 154.10359758291207, "fos_buckling": 0.6167682234809649, "fos_yielding": 3.3489423893859436, "deflection": 3132509548341.616, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2289": { "node_id": "node_2289", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M12: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0031)]\n\nPerformance:\n Mass: 169.24 kg\n Factor of Safety: 0.55\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": 169.2428408732515, "fos_buckling": 0.5474356091338249, "fos_yielding": 2.7123406985572016, "deflection": 4373130315275.4365, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.003115)" }, "parent_node_id": "node_2288", "improvement_over_parent": null }, "node_2290": { "node_id": "node_2290", "content": "MODIFICATION: Increase 10 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0051)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M12: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0031)]\n\nPerformance:\n Mass: 173.19 kg\n Factor of Safety: 0.45\n Max Deflection: 3.31e+12 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 173.18507784885793, "fos_buckling": 0.45229669721937427, "fos_yielding": 2.588506359943615, "deflection": 3311429241047.541, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.289)" }, "parent_node_id": "node_2289", "improvement_over_parent": null }, "node_2291": { "node_id": "node_2291", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0051)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M12: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0031)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n\nPerformance:\n Mass: 176.46 kg\n Factor of Safety: 0.47\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": 176.46322475410804, "fos_buckling": 0.4745049948898935, "fos_yielding": 2.329715221952754, "deflection": 0.006646063051908575, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002186)" }, "parent_node_id": "node_2290", "improvement_over_parent": null }, "node_2292": { "node_id": "node_2292", "content": "MODIFICATION: Increase 8 thickness by 51%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0066)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0051)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M12: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0031)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n\nPerformance:\n Mass: 184.88 kg\n Factor of Safety: 0.51\n Max Deflection: 6.25e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 184.883846938399, "fos_buckling": 0.5128837857995284, "fos_yielding": 2.3270618203612545, "deflection": 0.006249197640831051, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.511)" }, "parent_node_id": "node_2291", "improvement_over_parent": null }, "node_2293": { "node_id": "node_2293", "content": "MODIFICATION: Increase 4 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0061)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0066)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0051)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M12: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0031)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n\nPerformance:\n Mass: 188.47 kg\n Factor of Safety: 0.51\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": 188.46739608633843, "fos_buckling": 0.5128837857995281, "fos_yielding": 2.327061820361253, "deflection": 0.006220064647720093, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.186)" }, "parent_node_id": "node_2292", "improvement_over_parent": null }, "node_2294": { "node_id": "node_2294", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0061)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0066)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0051)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M12: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0031)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n\nPerformance:\n Mass: 195.70 kg\n Factor of Safety: 0.93\n Max Deflection: 2.36e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 195.69854187454683, "fos_buckling": 0.9312550788457191, "fos_yielding": 3.4503502823394445, "deflection": 0.0023638041948705153, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.003560)" }, "parent_node_id": "node_2293", "improvement_over_parent": null }, "node_2295": { "node_id": "node_2295", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0061)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0066)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0051)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M12: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0031)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 209.02 kg\n Factor of Safety: 1.10\n Max Deflection: 2.01e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 209.02207594619207, "fos_buckling": 1.0975446525036923, "fos_yielding": 4.113281648155485, "deflection": 0.002012670889964529, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.004024)" }, "parent_node_id": "node_2294", "improvement_over_parent": null }, "node_2296": { "node_id": "node_2296", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2295", "improvement_over_parent": null }, "node_2297": { "node_id": "node_2297", "content": "INITIAL DESIGN (Trace 326)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0024)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 159.68 kg\n Factor of Safety: 0.34\n Max Deflection: 3.10e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 159.67605382664618, "fos_buckling": 0.343139724122285, "fos_yielding": 2.555258007379832, "deflection": 0.0031005272665932267, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2298": { "node_id": "node_2298", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0024)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 173.00 kg\n Factor of Safety: 0.34\n Max Deflection: 2.90e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 172.99958789829142, "fos_buckling": 0.3425195713304759, "fos_yielding": 2.5506399166265026, "deflection": 0.00290380670378198, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.004024)" }, "parent_node_id": "node_2297", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0024)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n\nPerformance:\n Mass: 179.96 kg\n Factor of Safety: 0.96\n Max Deflection: 2.28e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 179.95704502254458, "fos_buckling": 0.9570692237590879, "fos_yielding": 3.5030821431485335, "deflection": 0.0022793281716511813, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.002405)" }, "parent_node_id": "node_2298", "improvement_over_parent": null }, "node_2300": { "node_id": "node_2300", "content": "MODIFICATION: Increase 13 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0024)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0050)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n\nPerformance:\n Mass: 182.81 kg\n Factor of Safety: 0.96\n Max Deflection: 2.28e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 182.8057280045708, "fos_buckling": 0.9566958754592755, "fos_yielding": 3.5017280964293542, "deflection": 0.0022753215520840654, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.241)" }, "parent_node_id": "node_2299", "improvement_over_parent": null }, "node_2301": { "node_id": "node_2301", "content": "MODIFICATION: Increase 13 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0024)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0066)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n\nPerformance:\n Mass: 187.26 kg\n Factor of Safety: 0.96\n Max Deflection: 2.27e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 187.2583411412874, "fos_buckling": 0.9561128992303526, "fos_yielding": 3.499613759060449, "deflection": 0.002271491423016286, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.325)" }, "parent_node_id": "node_2300", "improvement_over_parent": null }, "node_2302": { "node_id": "node_2302", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0024)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0066)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n\nPerformance:\n Mass: 202.84 kg\n Factor of Safety: 1.52\n Max Deflection: 2.00e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 202.83967777373994, "fos_buckling": 1.5207136003184119, "fos_yielding": 4.189248022210897, "deflection": 0.0020020014280878445, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.003945)" }, "parent_node_id": "node_2301", "improvement_over_parent": null }, "node_2303": { "node_id": "node_2303", "content": "MODIFICATION: Increase 7 thickness by 42%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0049)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0024)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0066)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n\nPerformance:\n Mass: 206.36 kg\n Factor of Safety: 1.53\n Max Deflection: 1.99e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 206.35750833853774, "fos_buckling": 1.53049317197955, "fos_yielding": 4.236030978282891, "deflection": 0.0019924845254843363, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.422)" }, "parent_node_id": "node_2302", "improvement_over_parent": null }, "node_2304": { "node_id": "node_2304", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2303", "improvement_over_parent": null }, "node_2305": { "node_id": "node_2305", "content": "INITIAL DESIGN (Trace 327)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0045)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0031)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0022)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0049)]\n\nPerformance:\n Mass: 170.26 kg\n Factor of Safety: 1.13\n Max Deflection: 2.35e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 170.25501472312857, "fos_buckling": 1.1331549072547125, "fos_yielding": 3.717935253291516, "deflection": 0.002353557031486305, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2306": { "node_id": "node_2306", "content": "MODIFICATION: Increase 0 thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0045)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0031)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0022)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0049)]\n\nPerformance:\n Mass: 171.22 kg\n Factor of Safety: 1.19\n Max Deflection: 2.34e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 171.2154116887438, "fos_buckling": 1.1906286794967706, "fos_yielding": 3.723262489730766, "deflection": 0.0023387833114944427, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.267)" }, "parent_node_id": "node_2305", "improvement_over_parent": null }, "node_2307": { "node_id": "node_2307", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 193.59 kg\n Factor of Safety: 1.32\n Max Deflection: 2.07e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 193.59294850255833, "fos_buckling": 1.3166460196249226, "fos_yielding": 4.203043780714317, "deflection": 0.0020716158675495996, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.143)" }, "parent_node_id": "node_2306", "improvement_over_parent": null }, "node_2308": { "node_id": "node_2308", "content": "MODIFICATION: Increase 13 thickness by 57%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 198.95 kg\n Factor of Safety: 1.36\n Max Deflection: 2.05e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 198.94854146725692, "fos_buckling": 1.3622362877862852, "fos_yielding": 4.255081376703273, "deflection": 0.002046672231205602, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.575)" }, "parent_node_id": "node_2307", "improvement_over_parent": null }, "node_2309": { "node_id": "node_2309", "content": "MODIFICATION: Increase 10 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.85 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.84734991265623, "fos_buckling": 1.5432706298563375, "fos_yielding": 4.251119157167573, "deflection": 0.0020077654825836626, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.311)" }, "parent_node_id": "node_2308", "improvement_over_parent": null }, "node_2310": { "node_id": "node_2310", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2309", "improvement_over_parent": null }, "node_2311": { "node_id": "node_2311", "content": "INITIAL DESIGN (Trace 328)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0011)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0031)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0029)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0021)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0015)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0024)]\n\nPerformance:\n Mass: 105.08 kg\n Factor of Safety: 0.21\n Max Deflection: 8.97e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 105.08004034795962, "fos_buckling": 0.21482364597828396, "fos_yielding": 1.1040160544953874, "deflection": 0.008965581511921079, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2312": { "node_id": "node_2312", "content": "MODIFICATION: Increase 3 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0031)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0029)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0021)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0015)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0024)]\n\nPerformance:\n Mass: 105.44 kg\n Factor of Safety: 0.21\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": 105.43500880375251, "fos_buckling": 0.21482105189059061, "fos_yielding": 1.1040026981455735, "deflection": 0.008955943504476845, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.263)" }, "parent_node_id": "node_2311", "improvement_over_parent": null }, "node_2313": { "node_id": "node_2313", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0034)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0025)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0032)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0017)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0029)]\n\nPerformance:\n Mass: 124.71 kg\n Factor of Safety: 0.25\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": 124.70783012802484, "fos_buckling": 0.24868816349120293, "fos_yielding": 1.3039415642576013, "deflection": 0.007582393024095648, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.195)" }, "parent_node_id": "node_2312", "improvement_over_parent": null }, "node_2314": { "node_id": "node_2314", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0034)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0025)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0032)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0017)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0029)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0041)]\n\nPerformance:\n Mass: 148.13 kg\n Factor of Safety: 1.13\n Max Deflection: 2.71e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 148.1347195672912, "fos_buckling": 1.1321526057329157, "fos_yielding": 3.1542983960239694, "deflection": 0.0027140720004981043, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.004084)" }, "parent_node_id": "node_2313", "improvement_over_parent": null }, "node_2315": { "node_id": "node_2315", "content": "MODIFICATION: Increase 13 thickness by 65%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0034)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0025)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0032)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0029)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0041)]\n\nPerformance:\n Mass: 152.56 kg\n Factor of Safety: 1.21\n Max Deflection: 2.67e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 152.55912919159937, "fos_buckling": 1.211282183942134, "fos_yielding": 3.190685081014928, "deflection": 0.002674110852210136, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.653)" }, "parent_node_id": "node_2314", "improvement_over_parent": null }, "node_2316": { "node_id": "node_2316", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0047)]\n\nPerformance:\n Mass: 173.32 kg\n Factor of Safety: 1.35\n Max Deflection: 2.36e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 173.31874855056157, "fos_buckling": 1.3502479404944698, "fos_yielding": 3.620339581182789, "deflection": 0.0023568890431720736, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.147)" }, "parent_node_id": "node_2315", "improvement_over_parent": null }, "node_2317": { "node_id": "node_2317", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n\nPerformance:\n Mass: 203.78 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.77515474704506, "fos_buckling": 1.5430505296581383, "fos_yielding": 4.248749552363175, "deflection": 0.0020084641169316768, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.193)" }, "parent_node_id": "node_2316", "improvement_over_parent": null }, "node_2318": { "node_id": "node_2318", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2317", "improvement_over_parent": null }, "node_2319": { "node_id": "node_2319", "content": "INITIAL DESIGN (Trace 329)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0011)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 187.63 kg\n Factor of Safety: 0.95\n Max Deflection: 2.45e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 187.6269491935646, "fos_buckling": 0.9538479959238009, "fos_yielding": 3.4802847849677856, "deflection": 0.002446603972133541, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2320": { "node_id": "node_2320", "content": "MODIFICATION: Increase 5 thickness by 47%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 188.40 kg\n Factor of Safety: 0.95\n Max Deflection: 2.45e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 188.39629658690643, "fos_buckling": 0.954272868575524, "fos_yielding": 3.4787189886880006, "deflection": 0.00244671628911646, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.475)" }, "parent_node_id": "node_2319", "improvement_over_parent": null }, "node_2321": { "node_id": "node_2321", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 201.72 kg\n Factor of Safety: 1.26\n Max Deflection: 2.03e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 201.71983065855167, "fos_buckling": 1.2642174044144427, "fos_yielding": 4.193398306325478, "deflection": 0.0020255832426652933, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.004024)" }, "parent_node_id": "node_2320", "improvement_over_parent": null }, "node_2322": { "node_id": "node_2322", "content": "MODIFICATION: Increase 3 thickness by 49%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 202.58 kg\n Factor of Safety: 1.32\n Max Deflection: 2.02e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 202.58359701972873, "fos_buckling": 1.3215332260844477, "fos_yielding": 4.194328605283391, "deflection": 0.002018047200853227, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.486)" }, "parent_node_id": "node_2321", "improvement_over_parent": null }, "node_2323": { "node_id": "node_2323", "content": "MODIFICATION: Increase 5 thickness by 59%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93049305753092, "fos_buckling": 1.5436691669819869, "fos_yielding": 4.252485808881564, "deflection": 0.002007000738295952, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.595)" }, "parent_node_id": "node_2322", "improvement_over_parent": null }, "node_2324": { "node_id": "node_2324", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2323", "improvement_over_parent": null }, "node_2325": { "node_id": "node_2325", "content": "INITIAL DESIGN (Trace 330)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0032)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0023)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0027)]\n\nPerformance:\n Mass: 121.49 kg\n Factor of Safety: 0.24\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": 121.49190234857544, "fos_buckling": 0.23580206967664227, "fos_yielding": 1.2268529703102375, "deflection": 0.00805377097258281, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0032)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0023)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0027)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0038)]\n\nPerformance:\n Mass: 143.52 kg\n Factor of Safety: 1.15\n Max Deflection: 2.84e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 143.5232800191351, "fos_buckling": 1.148591646665206, "fos_yielding": 3.003818457709641, "deflection": 0.002840970061644587, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.003825)" }, "parent_node_id": "node_2325", "improvement_over_parent": null }, "node_2327": { "node_id": "node_2327", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0048)]\n\nPerformance:\n Mass: 177.48 kg\n Factor of Safety: 1.38\n Max Deflection: 2.30e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 177.4752661152424, "fos_buckling": 1.3770149383154442, "fos_yielding": 3.70681931279586, "deflection": 0.002302387458916797, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.256)" }, "parent_node_id": "node_2326", "improvement_over_parent": null }, "node_2328": { "node_id": "node_2328", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n\nPerformance:\n Mass: 203.97 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.96816652944443, "fos_buckling": 1.5438912269740641, "fos_yielding": 4.253383109325207, "deflection": 0.002006670222155724, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.164)" }, "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "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 331)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0013)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0028)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0020)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0023)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0033)]\n\nPerformance:\n Mass: 122.06 kg\n Factor of Safety: 0.93\n Max Deflection: 3.31e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 122.06199725916535, "fos_buckling": 0.9349041778519274, "fos_yielding": 2.59034606678226, "deflection": 0.0033063842200559503, "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 all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0015)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0032)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0023)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0027)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0039)]\n\nPerformance:\n Mass: 140.55 kg\n Factor of Safety: 1.06\n Max Deflection: 2.87e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 140.5528553623211, "fos_buckling": 1.061223827404292, "fos_yielding": 2.9793705136299735, "deflection": 0.0028747031088106638, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.161)" }, "parent_node_id": "node_2330", "improvement_over_parent": null }, "node_2332": { "node_id": "node_2332", "content": "MODIFICATION: Increase 7 thickness by 56%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0032)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0023)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0027)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0039)]\n\nPerformance:\n Mass: 142.91 kg\n Factor of Safety: 1.10\n Max Deflection: 2.85e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 142.90992745378193, "fos_buckling": 1.10476156894707, "fos_yielding": 2.989570158292319, "deflection": 0.0028531569935407826, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.560)" }, "parent_node_id": "node_2331", "improvement_over_parent": null }, "node_2333": { "node_id": "node_2333", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0045)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0049)]\n\nPerformance:\n Mass: 178.02 kg\n Factor of Safety: 1.35\n Max Deflection: 2.30e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 178.0216878883507, "fos_buckling": 1.3463661913465692, "fos_yielding": 3.7165500345054645, "deflection": 0.0022953045722005566, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.266)" }, "parent_node_id": "node_2332", "improvement_over_parent": null }, "node_2334": { "node_id": "node_2334", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 201.54 kg\n Factor of Safety: 1.50\n Max Deflection: 2.03e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 201.54151131937527, "fos_buckling": 1.5014724402800785, "fos_yielding": 4.201877961912284, "deflection": 0.0020303345381669233, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.145)" }, "parent_node_id": "node_2333", "improvement_over_parent": null }, "node_2335": { "node_id": "node_2335", "content": "MODIFICATION: Increase 8 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.78 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.7802535393654, "fos_buckling": 1.5427644646514598, "fos_yielding": 4.249419893643, "deflection": 0.002008470796355571, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.222)" }, "parent_node_id": "node_2334", "improvement_over_parent": null }, "node_2336": { "node_id": "node_2336", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2335", "improvement_over_parent": null }, "node_2337": { "node_id": "node_2337", "content": "INITIAL DESIGN (Trace 332)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 135.80 kg\n Factor of Safety: 0.18\n Max Deflection: 6.53e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 135.79791146529587, "fos_buckling": 0.17513461538211075, "fos_yielding": 1.1011889063647284, "deflection": 6534397660862.435, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2338": { "node_id": "node_2338", "content": "MODIFICATION: Increase 8 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 138.17 kg\n Factor of Safety: 0.22\n Max Deflection: 6.53e+12 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 138.1673472876255, "fos_buckling": 0.22276580887176797, "fos_yielding": 1.2942531799718076, "deflection": 6534397660862.436, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.361)" }, "parent_node_id": "node_2337", "improvement_over_parent": null }, "node_2339": { "node_id": "node_2339", "content": "MODIFICATION: Increase 5 thickness by 56%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 145.45 kg\n Factor of Safety: 0.24\n Max Deflection: 5.91e+12 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 145.45249744867553, "fos_buckling": 0.24099359409210827, "fos_yielding": 1.7946065924202097, "deflection": 5907322808876.245, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.558)" }, "parent_node_id": "node_2338", "improvement_over_parent": null }, "node_2340": { "node_id": "node_2340", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n\nPerformance:\n Mass: 176.76 kg\n Factor of Safety: 0.51\n Max Deflection: 4.48e+12 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 176.76204779360435, "fos_buckling": 0.5078003770795808, "fos_yielding": 1.3459549443151575, "deflection": 4481751588893.343, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.005592)" }, "parent_node_id": "node_2339", "improvement_over_parent": null }, "node_2341": { "node_id": "node_2341", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n\nPerformance:\n Mass: 183.99 kg\n Factor of Safety: 1.00\n Max Deflection: 2.51e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 183.99319358181276, "fos_buckling": 0.9997131044515246, "fos_yielding": 3.278821394818128, "deflection": 0.0025130594051893476, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.003560)" }, "parent_node_id": "node_2340", "improvement_over_parent": null }, "node_2342": { "node_id": "node_2342", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n\nPerformance:\n Mass: 203.10 kg\n Factor of Safety: 1.51\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.09691290460617, "fos_buckling": 1.5062421022841699, "fos_yielding": 4.2210415483274994, "deflection": 0.002012843369091398, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.004368)" }, "parent_node_id": "node_2341", "improvement_over_parent": null }, "node_2343": { "node_id": "node_2343", "content": "MODIFICATION: Increase 5 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0067)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n\nPerformance:\n Mass: 209.01 kg\n Factor of Safety: 1.37\n Max Deflection: 1.99e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 209.0141094707557, "fos_buckling": 1.3712430806635336, "fos_yielding": 4.224158617863281, "deflection": 0.001990949841370997, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.311)" }, "parent_node_id": "node_2342", "improvement_over_parent": null }, "node_2344": { "node_id": "node_2344", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2343", "improvement_over_parent": null }, "node_2345": { "node_id": "node_2345", "content": "INITIAL DESIGN (Trace 333)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0010)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0012)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0012)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0007)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0008)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0008)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0017)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0011)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0013)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0011)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0015)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0011)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0013)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0013)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0018)]\n\nPerformance:\n Mass: 63.05 kg\n Factor of Safety: 0.33\n Max Deflection: 7.62e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 63.0514812739531, "fos_buckling": 0.3291432674041927, "fos_yielding": 0.8407720000691691, "deflection": 0.007620054980141426, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2346": { "node_id": "node_2346", "content": "MODIFICATION: Increase 4 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0010)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0012)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0012)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0007)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0012)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0008)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0017)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0011)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0013)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0011)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0015)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0011)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0013)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0013)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0018)]\n\nPerformance:\n Mass: 63.70 kg\n Factor of Safety: 0.38\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": 63.70307779377583, "fos_buckling": 0.3813391270055543, "fos_yielding": 1.1382874808265009, "deflection": 0.007242681640870536, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.364)" }, "parent_node_id": "node_2345", "improvement_over_parent": null }, "node_2347": { "node_id": "node_2347", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0013)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0015)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0009)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0015)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0011)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0014)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0014)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0019)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0014)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0016)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0016)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0023)]\n\nPerformance:\n Mass: 79.38 kg\n Factor of Safety: 0.47\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": 79.38035553066369, "fos_buckling": 0.4688669796173414, "fos_yielding": 1.4170933562811383, "deflection": 0.005816436511564989, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.255)" }, "parent_node_id": "node_2346", "improvement_over_parent": null }, "node_2348": { "node_id": "node_2348", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0016)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0019)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0011)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0018)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0013)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0018)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0024)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0017)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0020)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0020)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0029)]\n\nPerformance:\n Mass: 99.78 kg\n Factor of Safety: 0.58\n Max Deflection: 4.63e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 99.78108132877648, "fos_buckling": 0.5790196615402131, "fos_yielding": 1.7791219068579502, "deflection": 0.004631537471901336, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.269)" }, "parent_node_id": "node_2347", "improvement_over_parent": null }, "node_2349": { "node_id": "node_2349", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0031)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0022)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0025)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0036)]\n\nPerformance:\n Mass: 123.60 kg\n Factor of Safety: 0.70\n Max Deflection: 3.74e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 123.60111478566941, "fos_buckling": 0.7022648362304997, "fos_yielding": 2.200717445736163, "deflection": 0.0037430143302288306, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.253)" }, "parent_node_id": "node_2348", "improvement_over_parent": null }, "node_2350": { "node_id": "node_2350", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0047)]\n\nPerformance:\n Mass: 157.93 kg\n Factor of Safety: 0.87\n Max Deflection: 2.93e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 157.9298699055906, "fos_buckling": 0.8696861734569512, "fos_yielding": 2.8062121426768813, "deflection": 0.002933977390251845, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.300)" }, "parent_node_id": "node_2349", "improvement_over_parent": null }, "node_2351": { "node_id": "node_2351", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0047)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n\nPerformance:\n Mass: 174.28 kg\n Factor of Safety: 1.36\n Max Deflection: 2.34e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 174.27555219498333, "fos_buckling": 1.3560774363029475, "fos_yielding": 3.6401705204972843, "deflection": 0.002344266173608138, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.003685)" }, "parent_node_id": "node_2350", "improvement_over_parent": null }, "node_2352": { "node_id": "node_2352", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n\nPerformance:\n Mass: 203.63 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.63161411744517, "fos_buckling": 1.5417105596388807, "fos_yielding": 4.245855170113749, "deflection": 0.0020100109183596184, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.185)" }, "parent_node_id": "node_2351", "improvement_over_parent": null }, "node_2353": { "node_id": "node_2353", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2352", "improvement_over_parent": null }, "node_2354": { "node_id": "node_2354", "content": "INITIAL DESIGN (Trace 334)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0015)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0018)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0011)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0017)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0013)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0019)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0017)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0017)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0023)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0016)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0021)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0019)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0019)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0027)]\n\nPerformance:\n Mass: 101.82 kg\n Factor of Safety: 0.70\n Max Deflection: 3.95e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 101.8234795444903, "fos_buckling": 0.6992733779446224, "fos_yielding": 1.833636376177229, "deflection": 0.003952458822741571, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2355": { "node_id": "node_2355", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0028)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0020)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0024)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0034)]\n\nPerformance:\n Mass: 124.04 kg\n Factor of Safety: 0.84\n Max Deflection: 3.25e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 124.04315487649475, "fos_buckling": 0.8411554919500915, "fos_yielding": 2.2367622065779926, "deflection": 0.003249252770064248, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.230)" }, "parent_node_id": "node_2354", "improvement_over_parent": null }, "node_2356": { "node_id": "node_2356", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nPerformance:\n Mass: 158.64 kg\n Factor of Safety: 1.05\n Max Deflection: 2.55e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 158.6401082637203, "fos_buckling": 1.0543648162013528, "fos_yielding": 2.8670582738893984, "deflection": 0.002546489103566987, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.299)" }, "parent_node_id": "node_2355", "improvement_over_parent": null }, "node_2357": { "node_id": "node_2357", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 199.04 kg\n Factor of Safety: 1.29\n Max Deflection: 2.04e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 199.03745551841368, "fos_buckling": 1.2913636728169937, "fos_yielding": 3.607617749145736, "deflection": 0.002035106324894701, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.279)" }, "parent_node_id": "node_2356", "improvement_over_parent": null }, "node_2358": { "node_id": "node_2358", "content": "MODIFICATION: Increase 6 thickness by 34%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 204.14 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.1392924593097, "fos_buckling": 1.544919832479925, "fos_yielding": 4.256683569220534, "deflection": 0.0020050186606751425, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.339)" }, "parent_node_id": "node_2357", "improvement_over_parent": null }, "node_2359": { "node_id": "node_2359", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2358", "improvement_over_parent": null }, "node_2360": { "node_id": "node_2360", "content": "INITIAL DESIGN (Trace 335)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0017)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0027)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0019)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0023)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0032)]\n\nPerformance:\n Mass: 109.16 kg\n Factor of Safety: 0.62\n Max Deflection: 4.41e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 109.16435063479568, "fos_buckling": 0.6177524424820332, "fos_yielding": 1.6416348033487216, "deflection": 0.0044081758501402155, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2361": { "node_id": "node_2361", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0017)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0027)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0019)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0023)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0032)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0017)]\n\nPerformance:\n Mass: 116.95 kg\n Factor of Safety: 0.77\n Max Deflection: 3.58e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 116.94533008997787, "fos_buckling": 0.7730302364337771, "fos_yielding": 2.0549781781512073, "deflection": 0.003582056860123883, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.001685)" }, "parent_node_id": "node_2360", "improvement_over_parent": null }, "node_2362": { "node_id": "node_2362", "content": "MODIFICATION: Increase 12 thickness by 50%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0017)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0027)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0019)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0023)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0032)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0017)]\n\nPerformance:\n Mass: 121.24 kg\n Factor of Safety: 0.83\n Max Deflection: 3.54e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 121.23820782025446, "fos_buckling": 0.8306855168843477, "fos_yielding": 2.046506186405403, "deflection": 0.0035413758962913916, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.497)" }, "parent_node_id": "node_2361", "improvement_over_parent": null }, "node_2363": { "node_id": "node_2363", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0034)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0025)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0041)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0021)]\n\nPerformance:\n Mass: 151.15 kg\n Factor of Safety: 1.02\n Max Deflection: 2.84e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 151.14610636925244, "fos_buckling": 1.0152875815334337, "fos_yielding": 2.5552100092961942, "deflection": 0.0028425997286319654, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.264)" }, "parent_node_id": "node_2362", "improvement_over_parent": null }, "node_2364": { "node_id": "node_2364", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0042)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0046)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0024)]\n\nPerformance:\n Mass: 168.21 kg\n Factor of Safety: 1.12\n Max Deflection: 2.56e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 168.21028798810335, "fos_buckling": 1.1170269611959187, "fos_yielding": 2.846379540599125, "deflection": 0.002555169605312953, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.122)" }, "parent_node_id": "node_2363", "improvement_over_parent": null }, "node_2365": { "node_id": "node_2365", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0059)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n\nPerformance:\n Mass: 201.82 kg\n Factor of Safety: 1.31\n Max Deflection: 2.13e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 201.8209132801105, "fos_buckling": 1.309810016932423, "fos_yielding": 3.4221590939325313, "deflection": 0.0021310426743224387, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.220)" }, "parent_node_id": "node_2364", "improvement_over_parent": null }, "node_2366": { "node_id": "node_2366", "content": "MODIFICATION: Increase 4 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0059)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n\nPerformance:\n Mass: 203.00 kg\n Factor of Safety: 1.39\n Max Deflection: 2.09e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 202.99951894547294, "fos_buckling": 1.3872468119007855, "fos_yielding": 3.4155309360463755, "deflection": 0.002091945751895114, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.214)" }, "parent_node_id": "node_2365", "improvement_over_parent": null }, "node_2367": { "node_id": "node_2367", "content": "MODIFICATION: Increase 2 thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0059)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n\nPerformance:\n Mass: 204.56 kg\n Factor of Safety: 1.40\n Max Deflection: 2.03e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 204.55696840374264, "fos_buckling": 1.398621347178108, "fos_yielding": 4.20951808963184, "deflection": 0.0020326716393517436, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.277)" }, "parent_node_id": "node_2366", "improvement_over_parent": null }, "node_2368": { "node_id": "node_2368", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2367", "improvement_over_parent": null }, "node_2369": { "node_id": "node_2369", "content": "INITIAL DESIGN (Trace 336)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0042)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0031)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n\nPerformance:\n Mass: 116.94 kg\n Factor of Safety: 0.28\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": 116.94392610997926, "fos_buckling": 0.2751697105005102, "fos_yielding": 1.466713840472454, "deflection": 0.007087038955242331, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0042)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0031)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0046)]\n\nPerformance:\n Mass: 143.27 kg\n Factor of Safety: 0.83\n Max Deflection: 3.03e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 143.2726954049584, "fos_buckling": 0.8275315831397407, "fos_yielding": 2.7470387176991693, "deflection": 0.0030344590821257227, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.004630)" }, "parent_node_id": "node_2369", "improvement_over_parent": null }, "node_2371": { "node_id": "node_2371", "content": "MODIFICATION: Increase 2 thickness by 42%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0042)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0031)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0046)]\n\nPerformance:\n Mass: 145.10 kg\n Factor of Safety: 0.83\n Max Deflection: 2.94e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 145.09538137673695, "fos_buckling": 0.8274283380060602, "fos_yielding": 2.9511062316174606, "deflection": 0.002936507893111217, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.420)" }, "parent_node_id": "node_2370", "improvement_over_parent": null }, "node_2372": { "node_id": "node_2372", "content": "MODIFICATION: Increase 10 thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0042)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0046)]\n\nPerformance:\n Mass: 148.88 kg\n Factor of Safety: 0.83\n Max Deflection: 2.85e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 148.87736379230617, "fos_buckling": 0.827642595243592, "fos_yielding": 2.950726894034149, "deflection": 0.0028499006858485935, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.274)" }, "parent_node_id": "node_2371", "improvement_over_parent": null }, "node_2373": { "node_id": "node_2373", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0042)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0046)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n\nPerformance:\n Mass: 161.98 kg\n Factor of Safety: 1.10\n Max Deflection: 2.52e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 161.97876007887228, "fos_buckling": 1.0990384362781311, "fos_yielding": 3.56690098526378, "deflection": 0.002524717479676399, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.003266)" }, "parent_node_id": "node_2372", "improvement_over_parent": null }, "node_2374": { "node_id": "node_2374", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n\nPerformance:\n Mass: 192.65 kg\n Factor of Safety: 1.27\n Max Deflection: 2.13e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 192.65385073857024, "fos_buckling": 1.2661508730751825, "fos_yielding": 4.234353397336559, "deflection": 0.0021272452421056288, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.208)" }, "parent_node_id": "node_2373", "improvement_over_parent": null }, "node_2375": { "node_id": "node_2375", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n\nPerformance:\n Mass: 203.98 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.9784927406771, "fos_buckling": 1.5441451122442944, "fos_yielding": 4.25093236164037, "deflection": 0.0020066349378890045, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.003363)" }, "parent_node_id": "node_2374", "improvement_over_parent": null }, "node_2376": { "node_id": "node_2376", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2375", "improvement_over_parent": null }, "node_2377": { "node_id": "node_2377", "content": "INITIAL DESIGN (Trace 337)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0019)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0037)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0024)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0032)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0028)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0040)]\n\nPerformance:\n Mass: 132.07 kg\n Factor of Safety: 0.07\n Max Deflection: 5.80e+13 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 132.0704423499215, "fos_buckling": 0.07209667268239733, "fos_yielding": 0.15523176835540473, "deflection": 58033689717490.71, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2378": { "node_id": "node_2378", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0019)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0037)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0024)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0032)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0028)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0040)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n\nPerformance:\n Mass: 143.61 kg\n Factor of Safety: 0.37\n Max Deflection: 8.24e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 143.61099891929814, "fos_buckling": 0.3682905216703411, "fos_yielding": 1.5532714502466338, "deflection": 0.008240278266023146, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.002850)" }, "parent_node_id": "node_2377", "improvement_over_parent": null }, "node_2379": { "node_id": "node_2379", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0041)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0048)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n\nPerformance:\n Mass: 170.13 kg\n Factor of Safety: 0.43\n Max Deflection: 6.97e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 170.1251908465356, "fos_buckling": 0.4253053010757615, "fos_yielding": 1.835664260198244, "deflection": 0.006973789719557005, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.200)" }, "parent_node_id": "node_2378", "improvement_over_parent": null }, "node_2380": { "node_id": "node_2380", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n\nPerformance:\n Mass: 193.82 kg\n Factor of Safety: 0.47\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": 193.81727029818245, "fos_buckling": 0.47339073520787334, "fos_yielding": 2.086864834534515, "deflection": 0.006135254572524049, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.153)" }, "parent_node_id": "node_2379", "improvement_over_parent": null }, "node_2381": { "node_id": "node_2381", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n\nPerformance:\n Mass: 196.63 kg\n Factor of Safety: 0.47\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": 196.6315021873025, "fos_buckling": 0.4733455899116752, "fos_yielding": 2.3230776152950767, "deflection": 0.005187148510376235, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.002221)" }, "parent_node_id": "node_2380", "improvement_over_parent": null }, "node_2382": { "node_id": "node_2382", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n\nPerformance:\n Mass: 203.86 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.8626479755109, "fos_buckling": 1.5432299836381806, "fos_yielding": 4.2509923487449575, "deflection": 0.002007653615199402, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.003560)" }, "parent_node_id": "node_2381", "improvement_over_parent": null }, "node_2383": { "node_id": "node_2383", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2382", "improvement_over_parent": null }, "node_2384": { "node_id": "node_2384", "content": "INITIAL DESIGN (Trace 338)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0032)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0023)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0027)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0024)]\n\nPerformance:\n Mass: 125.02 kg\n Factor of Safety: 0.71\n Max Deflection: 3.48e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 125.02410284290305, "fos_buckling": 0.7117381537307351, "fos_yielding": 2.479429650061901, "deflection": 0.0034762310060538763, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2385": { "node_id": "node_2385", "content": "MODIFICATION: Increase 14 thickness by 59%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0032)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0023)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0027)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0038)]\n\nPerformance:\n Mass: 132.88 kg\n Factor of Safety: 0.71\n Max Deflection: 3.11e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 132.88423505570356, "fos_buckling": 0.7113547866478944, "fos_yielding": 2.4781032966987397, "deflection": 0.0031095315410173993, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.587)" }, "parent_node_id": "node_2384", "improvement_over_parent": null }, "node_2386": { "node_id": "node_2386", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nPerformance:\n Mass: 149.59 kg\n Factor of Safety: 0.79\n Max Deflection: 2.76e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 149.58920645498537, "fos_buckling": 0.7885055798375608, "fos_yielding": 2.786826460250355, "deflection": 0.0027649791563437664, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.135)" }, "parent_node_id": "node_2385", "improvement_over_parent": null }, "node_2387": { "node_id": "node_2387", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 188.29 kg\n Factor of Safety: 0.96\n Max Deflection: 2.20e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 188.28810228237802, "fos_buckling": 0.9567196463812865, "fos_yielding": 3.4996417003296463, "deflection": 0.0022016546863281804, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.284)" }, "parent_node_id": "node_2386", "improvement_over_parent": null }, "node_2388": { "node_id": "node_2388", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n\nPerformance:\n Mass: 201.61 kg\n Factor of Safety: 1.55\n Max Deflection: 2.02e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 201.6120199039952, "fos_buckling": 1.546696903163123, "fos_yielding": 4.259088899796249, "deflection": 0.002016759718715648, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.003326)" }, "parent_node_id": "node_2387", "improvement_over_parent": null }, "node_2389": { "node_id": "node_2389", "content": "MODIFICATION: Increase 13 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0047)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n\nPerformance:\n Mass: 204.18 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.17523561874125, "fos_buckling": 1.5425538835253458, "fos_yielding": 4.3000609767885605, "deflection": 0.0020091933610408216, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.186)" }, "parent_node_id": "node_2388", "improvement_over_parent": null }, "node_2390": { "node_id": "node_2390", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2389", "improvement_over_parent": null }, "node_2391": { "node_id": "node_2391", "content": "INITIAL DESIGN (Trace 339)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0047)]\n\nPerformance:\n Mass: 161.26 kg\n Factor of Safety: 0.83\n Max Deflection: 2.65e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 161.26040425721283, "fos_buckling": 0.8317311361121003, "fos_yielding": 2.972249595928516, "deflection": 0.0026502930894921795, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2392": { "node_id": "node_2392", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0047)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n\nPerformance:\n Mass: 164.51 kg\n Factor of Safety: 0.77\n Max Deflection: 2.48e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 164.50525167299952, "fos_buckling": 0.7711553012033731, "fos_yielding": 3.428001934427558, "deflection": 0.0024767586328658035, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002162)" }, "parent_node_id": "node_2391", "improvement_over_parent": null }, "node_2393": { "node_id": "node_2393", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n\nPerformance:\n Mass: 194.31 kg\n Factor of Safety: 0.88\n Max Deflection: 2.10e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 194.30966812982223, "fos_buckling": 0.8837209253003503, "fos_yielding": 4.039182234636542, "deflection": 0.0021006437979285003, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.199)" }, "parent_node_id": "node_2392", "improvement_over_parent": null }, "node_2394": { "node_id": "node_2394", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n\nPerformance:\n Mass: 203.95 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.95143305210524, "fos_buckling": 1.5438132170702787, "fos_yielding": 4.252950703324746, "deflection": 0.002006809233435199, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.003423)" }, "parent_node_id": "node_2393", "improvement_over_parent": null }, "node_2395": { "node_id": "node_2395", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2394", "improvement_over_parent": null }, "node_2396": { "node_id": "node_2396", "content": "INITIAL DESIGN (Trace 340)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0031)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0021)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0024)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0034)]\n\nPerformance:\n Mass: 113.19 kg\n Factor of Safety: 0.23\n Max Deflection: 5.27e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 113.19050234977843, "fos_buckling": 0.23179313187937195, "fos_yielding": 1.6198438110242075, "deflection": 0.005272863347679816, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2397": { "node_id": "node_2397", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0031)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0021)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0024)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0034)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0016)]\n\nPerformance:\n Mass: 115.63 kg\n Factor of Safety: 0.23\n Max Deflection: 4.98e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 115.62837441028728, "fos_buckling": 0.23175488395627877, "fos_yielding": 1.6195765224250815, "deflection": 0.004981344148886985, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.001593)" }, "parent_node_id": "node_2396", "improvement_over_parent": null }, "node_2398": { "node_id": "node_2398", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0042)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0046)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n\nPerformance:\n Mass: 150.52 kg\n Factor of Safety: 0.29\n Max Deflection: 3.84e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 150.51914124529503, "fos_buckling": 0.29070725986498475, "fos_yielding": 2.099776474722657, "deflection": 0.0038402717416989494, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.325)" }, "parent_node_id": "node_2397", "improvement_over_parent": null }, "node_2399": { "node_id": "node_2399", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0042)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0046)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0038)]\n\nPerformance:\n Mass: 168.89 kg\n Factor of Safety: 1.32\n Max Deflection: 2.42e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 168.89297835487153, "fos_buckling": 1.3209451030656834, "fos_yielding": 3.5296109693888664, "deflection": 0.0024179825447364464, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.003832)" }, "parent_node_id": "node_2398", "improvement_over_parent": null }, "node_2400": { "node_id": "node_2400", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n\nPerformance:\n Mass: 204.11 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.10850357501954, "fos_buckling": 1.5448766338579776, "fos_yielding": 4.256537502426453, "deflection": 0.0020052303813969516, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.229)" }, "parent_node_id": "node_2399", "improvement_over_parent": null }, "node_2401": { "node_id": "node_2401", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2400", "improvement_over_parent": null }, "node_2402": { "node_id": "node_2402", "content": "INITIAL DESIGN (Trace 341)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0042)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0038)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\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_2403": { "node_id": "node_2403", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0042)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0038)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0019)]\n\nPerformance:\n Mass: 109.56 kg\n Factor of Safety: 0.21\n Max Deflection: 7.46e+12 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 109.55683376618319, "fos_buckling": 0.21196953657200152, "fos_yielding": 0.9706898849788558, "deflection": 7464038974681.122, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.001933)" }, "parent_node_id": "node_2402", "improvement_over_parent": null }, "node_2404": { "node_id": "node_2404", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0042)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0038)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0019)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n\nPerformance:\n Mass: 122.48 kg\n Factor of Safety: 0.27\n Max Deflection: 9.30e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 122.47974109223021, "fos_buckling": 0.27212461873905613, "fos_yielding": 1.1754608790924308, "deflection": 0.009301586943060554, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.003218)" }, "parent_node_id": "node_2403", "improvement_over_parent": null }, "node_2405": { "node_id": "node_2405", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0024)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n\nPerformance:\n Mass: 147.64 kg\n Factor of Safety: 0.32\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": 147.64144802886264, "fos_buckling": 0.31754715498899655, "fos_yielding": 1.4240326719584624, "deflection": 0.00771089557430295, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.225)" }, "parent_node_id": "node_2404", "improvement_over_parent": null }, "node_2406": { "node_id": "node_2406", "content": "MODIFICATION: Increase 13 thickness by 66%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0024)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0065)]\n\nPerformance:\n Mass: 156.34 kg\n Factor of Safety: 0.32\n Max Deflection: 7.57e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 156.34376003014444, "fos_buckling": 0.3172660867973722, "fos_yielding": 1.4227692665874558, "deflection": 0.00757130493512454, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.658)" }, "parent_node_id": "node_2405", "improvement_over_parent": null }, "node_2407": { "node_id": "node_2407", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0024)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0065)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n\nPerformance:\n Mass: 175.45 kg\n Factor of Safety: 0.32\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": 175.44747935293785, "fos_buckling": 0.3166508144996349, "fos_yielding": 1.4200036275419192, "deflection": 0.006676612184673806, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.004368)" }, "parent_node_id": "node_2406", "improvement_over_parent": null }, "node_2408": { "node_id": "node_2408", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0024)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0065)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n\nPerformance:\n Mass: 206.76 kg\n Factor of Safety: 1.49\n Max Deflection: 2.01e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 206.75702969786667, "fos_buckling": 1.4883856732497505, "fos_yielding": 4.0973405627074175, "deflection": 0.0020100621650888193, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.005592)" }, "parent_node_id": "node_2407", "improvement_over_parent": null }, "node_2409": { "node_id": "node_2409", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2408", "improvement_over_parent": null }, "node_2410": { "node_id": "node_2410", "content": "INITIAL DESIGN (Trace 342)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0016)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n\nPerformance:\n Mass: 123.21 kg\n Factor of Safety: 0.06\n Max Deflection: 8.55e+13 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 123.21288844968326, "fos_buckling": 0.06292979981288599, "fos_yielding": 0.24267247124471394, "deflection": 85462166640808.38, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2411": { "node_id": "node_2411", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0016)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n\nPerformance:\n Mass: 132.92 kg\n Factor of Safety: 0.82\n Max Deflection: 4.93e+12 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 132.91788777959096, "fos_buckling": 0.8179942927527615, "fos_yielding": 2.8793684587227557, "deflection": 4926791752530.678, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.002842)" }, "parent_node_id": "node_2410", "improvement_over_parent": null }, "node_2412": { "node_id": "node_2412", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n\nPerformance:\n Mass: 155.08 kg\n Factor of Safety: 0.09\n Max Deflection: 1.14e+13 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 155.08208637025294, "fos_buckling": 0.09037947832735098, "fos_yielding": 0.5206201595639869, "deflection": 11444785600685.145, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.183)" }, "parent_node_id": "node_2411", "improvement_over_parent": null }, "node_2413": { "node_id": "node_2413", "content": "MODIFICATION: Increase 0 thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n\nPerformance:\n Mass: 156.13 kg\n Factor of Safety: 0.36\n Max Deflection: 5.69e+12 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 156.1314489356373, "fos_buckling": 0.3615179133094039, "fos_yielding": 1.7946065924202097, "deflection": 5694925085756.881, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.326)" }, "parent_node_id": "node_2412", "improvement_over_parent": null }, "node_2414": { "node_id": "node_2414", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 171.58 kg\n Factor of Safety: 0.32\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": 171.5823534493781, "fos_buckling": 0.316674122857163, "fos_yielding": 1.736993499759097, "deflection": 0.005698642633682524, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003928)" }, "parent_node_id": "node_2413", "improvement_over_parent": null }, "node_2415": { "node_id": "node_2415", "content": "MODIFICATION: Increase 0 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 172.56 kg\n Factor of Safety: 0.32\n Max Deflection: 5.69e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 172.5607086595443, "fos_buckling": 0.3166636402128402, "fos_yielding": 1.7369358323885735, "deflection": 0.005687342898071938, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.238)" }, "parent_node_id": "node_2414", "improvement_over_parent": null }, "node_2416": { "node_id": "node_2416", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n\nPerformance:\n Mass: 203.87 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.87025900447313, "fos_buckling": 1.5437840383219879, "fos_yielding": 4.250566475009815, "deflection": 0.0020075261492066687, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.005592)" }, "parent_node_id": "node_2415", "improvement_over_parent": null }, "node_2417": { "node_id": "node_2417", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2416", "improvement_over_parent": null }, "node_2418": { "node_id": "node_2418", "content": "INITIAL DESIGN (Trace 343)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0032)]\n\nPerformance:\n Mass: 159.04 kg\n Factor of Safety: 1.05\n Max Deflection: 2.67e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 159.04189588088167, "fos_buckling": 1.0469620046392694, "fos_yielding": 2.868362276488226, "deflection": 0.0026662977745926307, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2419": { "node_id": "node_2419", "content": "MODIFICATION: Increase 6 thickness by 44%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0032)]\n\nPerformance:\n Mass: 164.36 kg\n Factor of Safety: 1.05\n Max Deflection: 2.62e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 164.3565645693343, "fos_buckling": 1.0486298961789808, "fos_yielding": 3.535852289738908, "deflection": 0.002618520752912014, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.437)" }, "parent_node_id": "node_2418", "improvement_over_parent": null }, "node_2420": { "node_id": "node_2420", "content": "MODIFICATION: Increase 15 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0038)]\n\nPerformance:\n Mass: 167.73 kg\n Factor of Safety: 1.18\n Max Deflection: 2.49e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 167.72927415626782, "fos_buckling": 1.1786794832411114, "fos_yielding": 3.7497484153461005, "deflection": 0.0024895966560748166, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(15, thickness, 1.193)" }, "parent_node_id": "node_2419", "improvement_over_parent": null }, "node_2421": { "node_id": "node_2421", "content": "MODIFICATION: Increase 15 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0047)]\n\nPerformance:\n Mass: 172.51 kg\n Factor of Safety: 1.34\n Max Deflection: 2.35e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 172.50524324076065, "fos_buckling": 1.3404319677770251, "fos_yielding": 3.63093820093441, "deflection": 0.0023545219173801866, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(15, thickness, 1.235)" }, "parent_node_id": "node_2420", "improvement_over_parent": null }, "node_2422": { "node_id": "node_2422", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 202.21 kg\n Factor of Safety: 1.52\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 202.2096008072498, "fos_buckling": 1.52468472136463, "fos_yielding": 4.248175667003365, "deflection": 0.002012517113454209, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.189)" }, "parent_node_id": "node_2421", "improvement_over_parent": null }, "node_2423": { "node_id": "node_2423", "content": "MODIFICATION: Increase 7 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 204.03 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.03195232947186, "fos_buckling": 1.5445799725250098, "fos_yielding": 4.253895434048201, "deflection": 0.0020059650665839816, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.256)" }, "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "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 344)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0046)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0035)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0050)]\n\nPerformance:\n Mass: 152.74 kg\n Factor of Safety: 0.14\n Max Deflection: 9.89e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 152.74005652924666, "fos_buckling": 0.13628411004361973, "fos_yielding": 0.4482374321082779, "deflection": 9893352556931.81, "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: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0046)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0035)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0050)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n\nPerformance:\n Mass: 155.27 kg\n Factor of Safety: 0.31\n Max Deflection: 6.52e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 155.26660239050696, "fos_buckling": 0.31131812777095014, "fos_yielding": 2.0930361916888574, "deflection": 0.006515898342150418, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.001974)" }, "parent_node_id": "node_2425", "improvement_over_parent": null }, "node_2427": { "node_id": "node_2427", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n\nPerformance:\n Mass: 172.94 kg\n Factor of Safety: 0.34\n Max Deflection: 5.86e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 172.9407753172262, "fos_buckling": 0.33978954541644607, "fos_yielding": 2.3277797237513633, "deflection": 0.005860154331478634, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.125)" }, "parent_node_id": "node_2426", "improvement_over_parent": null }, "node_2428": { "node_id": "node_2428", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n\nPerformance:\n Mass: 195.14 kg\n Factor of Safety: 0.47\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": 195.14376000094, "fos_buckling": 0.4735320384110818, "fos_yielding": 2.3242888112635307, "deflection": 0.0052040753643595224, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.004709)" }, "parent_node_id": "node_2427", "improvement_over_parent": null }, "node_2429": { "node_id": "node_2429", "content": "MODIFICATION: Increase 0 thickness by 44%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n\nPerformance:\n Mass: 196.72 kg\n Factor of Safety: 0.47\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": 196.71515811720195, "fos_buckling": 0.4735068229874173, "fos_yielding": 2.3240421414823755, "deflection": 0.005185103177138645, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.439)" }, "parent_node_id": "node_2428", "improvement_over_parent": null }, "node_2430": { "node_id": "node_2430", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n\nPerformance:\n Mass: 203.95 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.94630390541036, "fos_buckling": 1.5437615447291397, "fos_yielding": 4.252779880780306, "deflection": 0.0020068687598921446, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.003560)" }, "parent_node_id": "node_2429", "improvement_over_parent": null }, "node_2431": { "node_id": "node_2431", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2430", "improvement_over_parent": null }, "node_2432": { "node_id": "node_2432", "content": "INITIAL DESIGN (Trace 345)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0015)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0031)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0022)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0026)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0036)]\n\nPerformance:\n Mass: 123.08 kg\n Factor of Safety: 0.70\n Max Deflection: 3.71e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 123.08028121908109, "fos_buckling": 0.7020567387298722, "fos_yielding": 2.236257885113485, "deflection": 0.0037115646038244016, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2433": { "node_id": "node_2433", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0017)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nPerformance:\n Mass: 145.83 kg\n Factor of Safety: 0.81\n Max Deflection: 3.14e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 145.8292800625088, "fos_buckling": 0.8142876557867192, "fos_yielding": 2.6548322273714398, "deflection": 0.003135993456767717, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.198)" }, "parent_node_id": "node_2432", "improvement_over_parent": null }, "node_2434": { "node_id": "node_2434", "content": "MODIFICATION: Increase 6 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0017)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nPerformance:\n Mass: 150.38 kg\n Factor of Safety: 0.81\n Max Deflection: 3.08e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 150.37977526349363, "fos_buckling": 0.8078784569405458, "fos_yielding": 2.775172366154003, "deflection": 0.003079743025944519, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.387)" }, "parent_node_id": "node_2433", "improvement_over_parent": null }, "node_2435": { "node_id": "node_2435", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0017)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n\nPerformance:\n Mass: 160.97 kg\n Factor of Safety: 1.22\n Max Deflection: 2.55e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 160.96516376557653, "fos_buckling": 1.216800294350971, "fos_yielding": 3.3907577359139625, "deflection": 0.002545055492855781, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.003134)" }, "parent_node_id": "node_2434", "improvement_over_parent": null }, "node_2436": { "node_id": "node_2436", "content": "MODIFICATION: Increase 0 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n\nPerformance:\n Mass: 162.12 kg\n Factor of Safety: 1.28\n Max Deflection: 2.52e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 162.1237021309667, "fos_buckling": 1.2757549360907585, "fos_yielding": 3.389145874027005, "deflection": 0.002517936539120274, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.387)" }, "parent_node_id": "node_2435", "improvement_over_parent": null }, "node_2437": { "node_id": "node_2437", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0032)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0045)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0042)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0050)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n\nPerformance:\n Mass: 182.43 kg\n Factor of Safety: 1.41\n Max Deflection: 2.24e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 182.43281167469104, "fos_buckling": 1.408984644814261, "fos_yielding": 3.8090473367195, "deflection": 0.0022404879188170556, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.136)" }, "parent_node_id": "node_2436", "improvement_over_parent": null }, "node_2438": { "node_id": "node_2438", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 204.01 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.0143663116603, "fos_buckling": 1.544154632004282, "fos_yielding": 4.2541355419385285, "deflection": 0.002006194463629724, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.130)" }, "parent_node_id": "node_2437", "improvement_over_parent": null }, "node_2439": { "node_id": "node_2439", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2438", "improvement_over_parent": null }, "node_2440": { "node_id": "node_2440", "content": "INITIAL DESIGN (Trace 346)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0026)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0046)]\n\nPerformance:\n Mass: 146.83 kg\n Factor of Safety: 0.78\n Max Deflection: 3.00e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 146.8318630235942, "fos_buckling": 0.7769371799938745, "fos_yielding": 2.264953651447386, "deflection": 0.002999350161609457, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2441": { "node_id": "node_2441", "content": "MODIFICATION: Increase 9 thickness by 47%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0046)]\n\nPerformance:\n Mass: 152.53 kg\n Factor of Safety: 0.85\n Max Deflection: 2.95e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 152.5311783600912, "fos_buckling": 0.8450245973868838, "fos_yielding": 2.288500408339901, "deflection": 0.002946396251741319, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.475)" }, "parent_node_id": "node_2440", "improvement_over_parent": null }, "node_2442": { "node_id": "node_2442", "content": "MODIFICATION: Increase 2 thickness by 51%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0046)]\n\nPerformance:\n Mass: 154.62 kg\n Factor of Safety: 0.85\n Max Deflection: 2.88e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 154.62186754162232, "fos_buckling": 0.8476799495498715, "fos_yielding": 2.282539379255872, "deflection": 0.0028761726543587995, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.511)" }, "parent_node_id": "node_2441", "improvement_over_parent": null }, "node_2443": { "node_id": "node_2443", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0046)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n\nPerformance:\n Mass: 162.72 kg\n Factor of Safety: 0.95\n Max Deflection: 2.54e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 162.71883719239554, "fos_buckling": 0.9543358043428041, "fos_yielding": 2.563274212945871, "deflection": 0.002544928417859126, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.002830)" }, "parent_node_id": "node_2442", "improvement_over_parent": null }, "node_2444": { "node_id": "node_2444", "content": "MODIFICATION: Increase 4 thickness by 49%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0046)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n\nPerformance:\n Mass: 164.61 kg\n Factor of Safety: 0.96\n Max Deflection: 2.45e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 164.6100559415261, "fos_buckling": 0.9579632597953814, "fos_yielding": 2.57301728553928, "deflection": 0.002450627091143757, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.488)" }, "parent_node_id": "node_2443", "improvement_over_parent": null }, "node_2445": { "node_id": "node_2445", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0032)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n\nPerformance:\n Mass: 196.02 kg\n Factor of Safety: 1.13\n Max Deflection: 2.06e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 196.02246328454328, "fos_buckling": 1.1252472629329704, "fos_yielding": 3.0762819268609847, "deflection": 0.002062073877298637, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.209)" }, "parent_node_id": "node_2444", "improvement_over_parent": null }, "node_2446": { "node_id": "node_2446", "content": "MODIFICATION: Increase 6 thickness by 62%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n\nPerformance:\n Mass: 203.83 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.83369732466548, "fos_buckling": 1.5429853189956124, "fos_yielding": 4.253251540333323, "deflection": 0.0020079748808937915, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.621)" }, "parent_node_id": "node_2445", "improvement_over_parent": null }, "node_2447": { "node_id": "node_2447", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2446", "improvement_over_parent": null }, "node_2448": { "node_id": "node_2448", "content": "INITIAL DESIGN (Trace 347)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0019)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0038)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0025)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0029)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0042)]\n\nPerformance:\n Mass: 131.49 kg\n Factor of Safety: 0.42\n Max Deflection: 2.70e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 131.48983186614538, "fos_buckling": 0.416569843074076, "fos_yielding": 1.9413797699577118, "deflection": 2696006948870.8325, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2449": { "node_id": "node_2449", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0019)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0038)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0025)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0029)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0042)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n\nPerformance:\n Mass: 133.65 kg\n Factor of Safety: 0.27\n Max Deflection: 7.62e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 133.64514911171014, "fos_buckling": 0.27242991508114184, "fos_yielding": 1.7884168474036677, "deflection": 0.007623665395471753, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.001663)" }, "parent_node_id": "node_2448", "improvement_over_parent": null }, "node_2450": { "node_id": "node_2450", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0046)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0031)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0031)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0036)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0035)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0050)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n\nPerformance:\n Mass: 158.48 kg\n Factor of Safety: 0.31\n Max Deflection: 6.44e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 158.4819396123757, "fos_buckling": 0.3142264600146146, "fos_yielding": 2.116512017935871, "deflection": 0.00644398167324041, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.202)" }, "parent_node_id": "node_2449", "improvement_over_parent": null }, "node_2451": { "node_id": "node_2451", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0046)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0031)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0031)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0036)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0035)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0050)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0042)]\n\nPerformance:\n Mass: 178.64 kg\n Factor of Safety: 0.44\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": 178.6371118407445, "fos_buckling": 0.43762952265466315, "fos_yielding": 2.1136268592079612, "deflection": 0.005700229516336495, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.004236)" }, "parent_node_id": "node_2450", "improvement_over_parent": null }, "node_2452": { "node_id": "node_2452", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0046)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0031)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0031)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0036)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0035)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0050)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0042)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0032)]\n\nPerformance:\n Mass: 185.20 kg\n Factor of Safety: 1.43\n Max Deflection: 2.21e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 185.20241736499773, "fos_buckling": 1.4268116198057634, "fos_yielding": 3.8665637400232162, "deflection": 0.002207384793297799, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.003203)" }, "parent_node_id": "node_2451", "improvement_over_parent": null }, "node_2453": { "node_id": "node_2453", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n\nPerformance:\n Mass: 203.91 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.90812848713023, "fos_buckling": 1.543623152449225, "fos_yielding": 4.252308737942931, "deflection": 0.002007243156235496, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.111)" }, "parent_node_id": "node_2452", "improvement_over_parent": null }, "node_2454": { "node_id": "node_2454", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2453", "improvement_over_parent": null }, "node_2455": { "node_id": "node_2455", "content": "INITIAL DESIGN (Trace 348)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0022)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 177.59 kg\n Factor of Safety: 1.01\n Max Deflection: 2.53e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 177.5882429995715, "fos_buckling": 1.009737241135155, "fos_yielding": 3.27935155015672, "deflection": 0.002525247051404029, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2456": { "node_id": "node_2456", "content": "MODIFICATION: Increase 11 thickness by 50%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 181.14 kg\n Factor of Safety: 1.01\n Max Deflection: 2.52e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 181.14447142169666, "fos_buckling": 1.0098704705854507, "fos_yielding": 3.278955867816745, "deflection": 0.0025204741817989426, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.502)" }, "parent_node_id": "node_2455", "improvement_over_parent": null }, "node_2457": { "node_id": "node_2457", "content": "MODIFICATION: Increase 3 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 181.52 kg\n Factor of Safety: 1.01\n Max Deflection: 2.52e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 181.51711598240172, "fos_buckling": 1.009884433261998, "fos_yielding": 3.2789144111949367, "deflection": 0.002519162016434322, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.212)" }, "parent_node_id": "node_2456", "improvement_over_parent": null }, "node_2458": { "node_id": "node_2458", "content": "MODIFICATION: Increase 9 thickness by 45%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 184.28 kg\n Factor of Safety: 0.99\n Max Deflection: 2.51e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 184.28020432695314, "fos_buckling": 0.9924285763992357, "fos_yielding": 3.2789144111949367, "deflection": 0.0025114128082256914, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.445)" }, "parent_node_id": "node_2457", "improvement_over_parent": null }, "node_2459": { "node_id": "node_2459", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n\nPerformance:\n Mass: 203.38 kg\n Factor of Safety: 1.39\n Max Deflection: 2.01e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 203.38392364974655, "fos_buckling": 1.3937294368042075, "fos_yielding": 4.2520059837987905, "deflection": 0.002011263667563672, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.004368)" }, "parent_node_id": "node_2458", "improvement_over_parent": null }, "node_2460": { "node_id": "node_2460", "content": "MODIFICATION: Increase 3 thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n\nPerformance:\n Mass: 203.94 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.9380072046625, "fos_buckling": 1.5437063203780934, "fos_yielding": 4.252588158719899, "deflection": 0.0020069619842791606, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.269)" }, "parent_node_id": "node_2459", "improvement_over_parent": null }, "node_2461": { "node_id": "node_2461", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2460", "improvement_over_parent": null }, "node_2462": { "node_id": "node_2462", "content": "INITIAL DESIGN (Trace 349)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0036)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0033)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0023)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0027)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0039)]\n\nPerformance:\n Mass: 131.36 kg\n Factor of Safety: 0.30\n Max Deflection: 1.38e+13 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 131.36031985853344, "fos_buckling": 0.2986216818617471, "fos_yielding": 0.6729774721575789, "deflection": 13826581654397.799, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2463": { "node_id": "node_2463", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0036)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0033)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0023)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0027)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0039)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n\nPerformance:\n Mass: 138.23 kg\n Factor of Safety: 0.36\n Max Deflection: 8.56e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 138.23360210771398, "fos_buckling": 0.3563173783760654, "fos_yielding": 1.4956544581808666, "deflection": 0.008556824902401719, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.002374)" }, "parent_node_id": "node_2462", "improvement_over_parent": null }, "node_2464": { "node_id": "node_2464", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n\nPerformance:\n Mass: 156.11 kg\n Factor of Safety: 0.40\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": 156.10542507362243, "fos_buckling": 0.39558452170908154, "fos_yielding": 1.6863118267809964, "deflection": 0.007590240207630756, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.139)" }, "parent_node_id": "node_2463", "improvement_over_parent": null }, "node_2465": { "node_id": "node_2465", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n\nPerformance:\n Mass: 193.92 kg\n Factor of Safety: 0.47\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": 193.92448405533804, "fos_buckling": 0.47360705375469564, "fos_yielding": 2.0877560635093393, "deflection": 0.0061322222646201675, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.266)" }, "parent_node_id": "node_2464", "improvement_over_parent": null }, "node_2466": { "node_id": "node_2466", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n\nPerformance:\n Mass: 196.74 kg\n Factor of Safety: 0.47\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": 196.73871594445808, "fos_buckling": 0.4735618881275584, "fos_yielding": 2.3243719850615587, "deflection": 0.00518457097546501, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.002221)" }, "parent_node_id": "node_2465", "improvement_over_parent": null }, "node_2467": { "node_id": "node_2467", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n\nPerformance:\n Mass: 203.97 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.9698617326665, "fos_buckling": 1.5439430142379116, "fos_yielding": 4.253390071985654, "deflection": 0.0020066518163490065, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.003560)" }, "parent_node_id": "node_2466", "improvement_over_parent": null }, "node_2468": { "node_id": "node_2468", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2467", "improvement_over_parent": null }, "node_2469": { "node_id": "node_2469", "content": "INITIAL DESIGN (Trace 350)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0042)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0046)]\n\nPerformance:\n Mass: 151.50 kg\n Factor of Safety: 0.86\n Max Deflection: 3.05e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 151.4998463514591, "fos_buckling": 0.8588876732939185, "fos_yielding": 2.7351365407756543, "deflection": 0.003046632847711566, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2470": { "node_id": "node_2470", "content": "MODIFICATION: Increase 1 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0042)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0046)]\n\nPerformance:\n Mass: 152.97 kg\n Factor of Safety: 0.86\n Max Deflection: 3.02e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 152.96591317878097, "fos_buckling": 0.8590241344926869, "fos_yielding": 2.7347276256081927, "deflection": 0.0030160004005830737, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.318)" }, "parent_node_id": "node_2469", "improvement_over_parent": null }, "node_2471": { "node_id": "node_2471", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0042)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0046)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n\nPerformance:\n Mass: 168.87 kg\n Factor of Safety: 1.21\n Max Deflection: 2.42e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 168.86770194364357, "fos_buckling": 1.209195256324386, "fos_yielding": 3.511325701049157, "deflection": 0.0024153910783472317, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.003577)" }, "parent_node_id": "node_2470", "improvement_over_parent": null }, "node_2472": { "node_id": "node_2472", "content": "MODIFICATION: Increase 5 thickness by 43%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0042)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0046)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n\nPerformance:\n Mass: 169.77 kg\n Factor of Safety: 1.33\n Max Deflection: 2.41e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 169.77379982148784, "fos_buckling": 1.3266560986367684, "fos_yielding": 3.5474890890158854, "deflection": 0.0024055469690890596, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.427)" }, "parent_node_id": "node_2471", "improvement_over_parent": null }, "node_2473": { "node_id": "node_2473", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n\nPerformance:\n Mass: 203.94 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.9380353603991, "fos_buckling": 1.543722054709405, "fos_yielding": 4.252624741770182, "deflection": 0.0020068652279028507, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.221)" }, "parent_node_id": "node_2472", "improvement_over_parent": null }, "node_2474": { "node_id": "node_2474", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2473", "improvement_over_parent": null }, "node_2475": { "node_id": "node_2475", "content": "INITIAL DESIGN (Trace 351)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0013)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0031)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0017)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0020)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0024)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0034)]\n\nPerformance:\n Mass: 106.31 kg\n Factor of Safety: 0.10\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": 106.31060030532038, "fos_buckling": 0.09641184837961089, "fos_yielding": 0.6729774721575786, "deflection": 13218509252712.525, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2476": { "node_id": "node_2476", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0035)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0020)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0023)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0027)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0039)]\n\nPerformance:\n Mass: 119.62 kg\n Factor of Safety: 0.51\n Max Deflection: 4.73e+12 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 119.62345712130413, "fos_buckling": 0.505676658514323, "fos_yielding": 2.121673351600283, "deflection": 4733686956387.184, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.133)" }, "parent_node_id": "node_2475", "improvement_over_parent": null }, "node_2477": { "node_id": "node_2477", "content": "MODIFICATION: Increase 8 thickness by 64%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0035)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0032)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0023)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0027)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0039)]\n\nPerformance:\n Mass: 125.52 kg\n Factor of Safety: 0.46\n Max Deflection: 1.97e+12 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 125.51945350302296, "fos_buckling": 0.45970605319483904, "fos_yielding": 2.5901916938700125, "deflection": 1972988919182.0151, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.639)" }, "parent_node_id": "node_2476", "improvement_over_parent": null }, "node_2478": { "node_id": "node_2478", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0046)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0031)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0042)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0035)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0050)]\n\nPerformance:\n Mass: 159.86 kg\n Factor of Safety: 0.01\n Max Deflection: 2.56e+14 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 159.8557688329986, "fos_buckling": 0.00854845167483296, "fos_yielding": 0.04206109200984867, "deflection": 256127707147578.6, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.297)" }, "parent_node_id": "node_2477", "improvement_over_parent": null }, "node_2479": { "node_id": "node_2479", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0046)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0031)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0042)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0035)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0050)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0032)]\n\nPerformance:\n Mass: 166.38 kg\n Factor of Safety: 0.88\n Max Deflection: 2.71e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 166.3777237897373, "fos_buckling": 0.8786673406598853, "fos_yielding": 3.161410770298731, "deflection": 0.002709857552632879, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.003180)" }, "parent_node_id": "node_2478", "improvement_over_parent": null }, "node_2480": { "node_id": "node_2480", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0046)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0031)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0042)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0035)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0050)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0032)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n\nPerformance:\n Mass: 169.83 kg\n Factor of Safety: 0.88\n Max Deflection: 2.44e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 169.83383180149437, "fos_buckling": 0.8784593054318433, "fos_yielding": 3.160668810091481, "deflection": 0.0024381888347249528, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002315)" }, "parent_node_id": "node_2479", "improvement_over_parent": null }, "node_2481": { "node_id": "node_2481", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n\nPerformance:\n Mass: 188.38 kg\n Factor of Safety: 0.96\n Max Deflection: 2.20e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 188.37874638442145, "fos_buckling": 0.9572267046376354, "fos_yielding": 3.501890938990865, "deflection": 0.0022005395400289465, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.120)" }, "parent_node_id": "node_2480", "improvement_over_parent": null }, "node_2482": { "node_id": "node_2482", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n\nPerformance:\n Mass: 203.96 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.960083016874, "fos_buckling": 1.5440002581664722, "fos_yielding": 4.253575572621748, "deflection": 0.0020066423724218966, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.003945)" }, "parent_node_id": "node_2481", "improvement_over_parent": null }, "node_2483": { "node_id": "node_2483", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2482", "improvement_over_parent": null }, "node_2484": { "node_id": "node_2484", "content": "INITIAL DESIGN (Trace 352)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 180.88 kg\n Factor of Safety: 1.00\n Max Deflection: 2.56e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 180.88206693536875, "fos_buckling": 1.0042000543243317, "fos_yielding": 3.2790668531779734, "deflection": 0.0025582214189655414, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2485": { "node_id": "node_2485", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n\nPerformance:\n Mass: 199.99 kg\n Factor of Safety: 1.41\n Max Deflection: 2.05e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 199.98578625816216, "fos_buckling": 1.4077994113737826, "fos_yielding": 4.20395746862743, "deflection": 0.002048738667628535, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.004368)" }, "parent_node_id": "node_2484", "improvement_over_parent": null }, "node_2486": { "node_id": "node_2486", "content": "MODIFICATION: Increase 0 thickness by 59%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n\nPerformance:\n Mass: 201.91 kg\n Factor of Safety: 1.53\n Max Deflection: 2.02e-03 m\n Status: FEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 201.9084359802363, "fos_buckling": 1.5250385762374252, "fos_yielding": 4.201162426613567, "deflection": 0.0020168077133286832, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.590)" }, "parent_node_id": "node_2485", "improvement_over_parent": null }, "node_2487": { "node_id": "node_2487", "content": "MODIFICATION: Increase 9 thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n\nPerformance:\n Mass: 203.94 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93643276240593, "fos_buckling": 1.543706008493675, "fos_yielding": 4.2525872995435385, "deflection": 0.0020069664702460715, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.295)" }, "parent_node_id": "node_2486", "improvement_over_parent": null }, "node_2488": { "node_id": "node_2488", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2487", "improvement_over_parent": null }, "node_2489": { "node_id": "node_2489", "content": "INITIAL DESIGN (Trace 353)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0016)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0019)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0012)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0014)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0018)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0025)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0018)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0023)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0020)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0029)]\n\nPerformance:\n Mass: 110.88 kg\n Factor of Safety: 0.91\n Max Deflection: 3.67e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 110.88111943046908, "fos_buckling": 0.9134901465562936, "fos_yielding": 2.325157057465856, "deflection": 0.0036697235111435357, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2490": { "node_id": "node_2490", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0033)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0023)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0027)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0039)]\n\nPerformance:\n Mass: 144.85 kg\n Factor of Safety: 1.16\n Max Deflection: 2.82e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 144.8527894545474, "fos_buckling": 1.1578674235134705, "fos_yielding": 3.0313202182331063, "deflection": 0.002815100337129795, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.326)" }, "parent_node_id": "node_2489", "improvement_over_parent": null }, "node_2491": { "node_id": "node_2491", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0047)]\n\nPerformance:\n Mass: 172.49 kg\n Factor of Safety: 1.34\n Max Deflection: 2.37e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 172.49402470714207, "fos_buckling": 1.3445486919443992, "fos_yielding": 3.603764565574253, "deflection": 0.0023681093549243947, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.206)" }, "parent_node_id": "node_2490", "improvement_over_parent": null }, "node_2492": { "node_id": "node_2492", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.90 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.90391560627828, "fos_buckling": 1.5435155427635208, "fos_yielding": 4.251951081572152, "deflection": 0.0020072740365634912, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.200)" }, "parent_node_id": "node_2491", "improvement_over_parent": null }, "node_2493": { "node_id": "node_2493", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2492", "improvement_over_parent": null }, "node_2494": { "node_id": "node_2494", "content": "INITIAL DESIGN (Trace 354)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0032)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0038)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0042)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0050)]\n\nPerformance:\n Mass: 164.35 kg\n Factor of Safety: 0.88\n Max Deflection: 2.74e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 164.3547164827624, "fos_buckling": 0.8827143229743724, "fos_yielding": 3.1457491339971666, "deflection": 0.0027398495576322346, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2495": { "node_id": "node_2495", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0032)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0038)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0042)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0050)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n\nPerformance:\n Mass: 176.29 kg\n Factor of Safety: 1.16\n Max Deflection: 2.45e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 176.28706210336009, "fos_buckling": 1.1615109699499975, "fos_yielding": 3.1406569274555536, "deflection": 0.0024486723157825557, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.003567)" }, "parent_node_id": "node_2494", "improvement_over_parent": null }, "node_2496": { "node_id": "node_2496", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0032)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0038)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0042)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0050)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n\nPerformance:\n Mass: 179.72 kg\n Factor of Safety: 1.27\n Max Deflection: 2.26e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 179.71981662625637, "fos_buckling": 1.2699995544646325, "fos_yielding": 3.544437352797225, "deflection": 0.0022574395238977242, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002298)" }, "parent_node_id": "node_2495", "improvement_over_parent": null }, "node_2497": { "node_id": "node_2497", "content": "MODIFICATION: Increase 6 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0032)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0038)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0036)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0042)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0050)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n\nPerformance:\n Mass: 181.24 kg\n Factor of Safety: 1.28\n Max Deflection: 2.25e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 181.24334031710907, "fos_buckling": 1.276031132742031, "fos_yielding": 3.5612708636969534, "deflection": 0.0022517041774452566, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.195)" }, "parent_node_id": "node_2496", "improvement_over_parent": null }, "node_2498": { "node_id": "node_2498", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0041)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n\nPerformance:\n Mass: 202.20 kg\n Factor of Safety: 1.40\n Max Deflection: 2.02e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 202.19955565955055, "fos_buckling": 1.4027115970141204, "fos_yielding": 3.9761670396537063, "deflection": 0.0020209734207261337, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.127)" }, "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "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 355)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0042)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n\nPerformance:\n Mass: 140.91 kg\n Factor of Safety: 0.02\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": 140.90524596974976, "fos_buckling": 0.01551087776451938, "fos_yielding": 0.1121629120262631, "deflection": 73010707341488.53, "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: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0042)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n\nPerformance:\n Mass: 144.10 kg\n Factor of Safety: 0.27\n Max Deflection: 6.80e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 144.10420903042623, "fos_buckling": 0.27292735408973706, "fos_yielding": 1.4532711546377133, "deflection": 0.006799195163357921, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002129)" }, "parent_node_id": "node_2500", "improvement_over_parent": null }, "node_2502": { "node_id": "node_2502", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n\nPerformance:\n Mass: 172.71 kg\n Factor of Safety: 0.32\n Max Deflection: 5.68e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 172.70722197921725, "fos_buckling": 0.31689039261935703, "fos_yielding": 1.7386191708661602, "deflection": 0.005682911174201601, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.218)" }, "parent_node_id": "node_2501", "improvement_over_parent": null }, "node_2503": { "node_id": "node_2503", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n\nPerformance:\n Mass: 204.02 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.01677232414607, "fos_buckling": 1.543940665752913, "fos_yielding": 4.254769633335369, "deflection": 0.0020062714151724225, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.005592)" }, "parent_node_id": "node_2502", "improvement_over_parent": null }, "node_2504": { "node_id": "node_2504", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2503", "improvement_over_parent": null }, "node_2505": { "node_id": "node_2505", "content": "INITIAL DESIGN (Trace 356)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0038)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0016)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n\nPerformance:\n Mass: 114.93 kg\n Factor of Safety: 0.28\n Max Deflection: 9.16e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 114.93138405574771, "fos_buckling": 0.27614918507750913, "fos_yielding": 1.2288284531275049, "deflection": 9156473011834.982, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0038)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0016)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0045)]\n\nPerformance:\n Mass: 140.50 kg\n Factor of Safety: 0.91\n Max Deflection: 2.79e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 140.50009186577665, "fos_buckling": 0.9121863723848158, "fos_yielding": 2.438900695676346, "deflection": 0.002787781901554586, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.004486)" }, "parent_node_id": "node_2505", "improvement_over_parent": null }, "node_2507": { "node_id": "node_2507", "content": "MODIFICATION: Increase 11 thickness by 64%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0038)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0045)]\n\nPerformance:\n Mass: 143.97 kg\n Factor of Safety: 0.90\n Max Deflection: 2.77e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 143.96900688689504, "fos_buckling": 0.9014417053087648, "fos_yielding": 2.4101728207596436, "deflection": 0.0027706494032890185, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.645)" }, "parent_node_id": "node_2506", "improvement_over_parent": null }, "node_2508": { "node_id": "node_2508", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0031)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n\nPerformance:\n Mass: 176.51 kg\n Factor of Safety: 1.09\n Max Deflection: 2.27e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 176.510705913577, "fos_buckling": 1.0888319256898613, "fos_yielding": 2.969386467648969, "deflection": 0.002265000922966882, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.247)" }, "parent_node_id": "node_2507", "improvement_over_parent": null }, "node_2509": { "node_id": "node_2509", "content": "MODIFICATION: Increase 0 thickness by 38%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0031)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n\nPerformance:\n Mass: 177.92 kg\n Factor of Safety: 1.10\n Max Deflection: 2.24e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 177.91673500704817, "fos_buckling": 1.100533425632868, "fos_yielding": 3.0012979819627548, "deflection": 0.0022414273295322212, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.377)" }, "parent_node_id": "node_2508", "improvement_over_parent": null }, "node_2510": { "node_id": "node_2510", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0031)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 193.37 kg\n Factor of Safety: 1.09\n Max Deflection: 2.08e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 193.36763952078897, "fos_buckling": 1.0939391944191155, "fos_yielding": 2.9833146546294205, "deflection": 0.0020758075378667865, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003928)" }, "parent_node_id": "node_2509", "improvement_over_parent": null }, "node_2511": { "node_id": "node_2511", "content": "MODIFICATION: Increase 6 thickness by 66%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 201.49 kg\n Factor of Safety: 1.49\n Max Deflection: 2.02e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 201.49296862065444, "fos_buckling": 1.4877340682111688, "fos_yielding": 4.245885365830638, "deflection": 0.0020157601667861714, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.661)" }, "parent_node_id": "node_2510", "improvement_over_parent": null }, "node_2512": { "node_id": "node_2512", "content": "MODIFICATION: Increase 7 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 204.02 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.01885603051682, "fos_buckling": 1.5442302754492758, "fos_yielding": 4.254298468014509, "deflection": 0.0020061338505328865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.389)" }, "parent_node_id": "node_2511", "improvement_over_parent": null }, "node_2513": { "node_id": "node_2513", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2512", "improvement_over_parent": null }, "node_2514": { "node_id": "node_2514", "content": "INITIAL DESIGN (Trace 357)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0023)]\n\nPerformance:\n Mass: 146.59 kg\n Factor of Safety: 0.28\n Max Deflection: 7.34e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 146.5949970453023, "fos_buckling": 0.2836658769382077, "fos_yielding": 1.3748822442808073, "deflection": 0.0073408757907860046, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2515": { "node_id": "node_2515", "content": "MODIFICATION: Increase 14 thickness by 48%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n\nPerformance:\n Mass: 150.77 kg\n Factor of Safety: 0.28\n Max Deflection: 6.50e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 150.76687431895164, "fos_buckling": 0.2834653279390255, "fos_yielding": 1.519683980079328, "deflection": 0.006501297548445175, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.484)" }, "parent_node_id": "node_2514", "improvement_over_parent": null }, "node_2516": { "node_id": "node_2516", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0048)]\n\nPerformance:\n Mass: 178.11 kg\n Factor of Safety: 1.38\n Max Deflection: 2.29e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 178.10841653807373, "fos_buckling": 1.3811635837893463, "fos_yielding": 3.719834819836381, "deflection": 0.0022942866992139033, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.004823)" }, "parent_node_id": "node_2515", "improvement_over_parent": null }, "node_2517": { "node_id": "node_2517", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n\nPerformance:\n Mass: 203.89 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.88561328129015, "fos_buckling": 1.5434339965088026, "fos_yielding": 4.2516071410691785, "deflection": 0.0020074659999663852, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.159)" }, "parent_node_id": "node_2516", "improvement_over_parent": null }, "node_2518": { "node_id": "node_2518", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2517", "improvement_over_parent": null }, "node_2519": { "node_id": "node_2519", "content": "INITIAL DESIGN (Trace 358)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0023)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0027)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0025)]\n\nPerformance:\n Mass: 108.71 kg\n Factor of Safety: 0.25\n Max Deflection: 4.43e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 108.71420792458588, "fos_buckling": 0.2511501380268328, "fos_yielding": 1.7728919113435488, "deflection": 0.004431392476637289, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2520": { "node_id": "node_2520", "content": "MODIFICATION: Increase 13 thickness by 49%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0023)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0027)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0038)]\n\nPerformance:\n Mass: 115.57 kg\n Factor of Safety: 0.25\n Max Deflection: 4.12e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 115.5728467165876, "fos_buckling": 0.25103343551010665, "fos_yielding": 1.7720680975500833, "deflection": 0.004118635338643817, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.488)" }, "parent_node_id": "node_2519", "improvement_over_parent": null }, "node_2521": { "node_id": "node_2521", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0023)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0027)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0038)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0024)]\n\nPerformance:\n Mass: 127.56 kg\n Factor of Safety: 0.70\n Max Deflection: 3.20e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 127.55794029196208, "fos_buckling": 0.7023629324818647, "fos_yielding": 2.443719977201719, "deflection": 0.0031996043848990245, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.002435)" }, "parent_node_id": "node_2520", "improvement_over_parent": null }, "node_2522": { "node_id": "node_2522", "content": "MODIFICATION: Increase 10 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0027)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0038)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0024)]\n\nPerformance:\n Mass: 129.79 kg\n Factor of Safety: 0.70\n Max Deflection: 3.17e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 129.78753278451552, "fos_buckling": 0.7024702380437081, "fos_yielding": 2.4435345422688965, "deflection": 0.0031720655093824867, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.307)" }, "parent_node_id": "node_2521", "improvement_over_parent": null }, "node_2523": { "node_id": "node_2523", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0045)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0038)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0049)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0031)]\n\nPerformance:\n Mass: 164.17 kg\n Factor of Safety: 0.86\n Max Deflection: 2.51e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 164.16724033146681, "fos_buckling": 0.8603283779135144, "fos_yielding": 3.08457204829447, "deflection": 0.002512621025684812, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.287)" }, "parent_node_id": "node_2522", "improvement_over_parent": null }, "node_2524": { "node_id": "node_2524", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0045)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0038)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0049)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0031)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n\nPerformance:\n Mass: 177.88 kg\n Factor of Safety: 1.14\n Max Deflection: 2.31e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 177.8753090159941, "fos_buckling": 1.140870693911037, "fos_yielding": 3.7511270906351255, "deflection": 0.002307013538628273, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.003430)" }, "parent_node_id": "node_2523", "improvement_over_parent": null }, "node_2525": { "node_id": "node_2525", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0044)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n\nPerformance:\n Mass: 201.99 kg\n Factor of Safety: 1.27\n Max Deflection: 2.03e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 201.99255307773927, "fos_buckling": 1.2673415505463796, "fos_yielding": 4.253618342304634, "deflection": 0.002034347093883181, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.149)" }, "parent_node_id": "node_2524", "improvement_over_parent": null }, "node_2526": { "node_id": "node_2526", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2525", "improvement_over_parent": null }, "node_2527": { "node_id": "node_2527", "content": "INITIAL DESIGN (Trace 359)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0010)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0023)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n\nPerformance:\n Mass: 82.41 kg\n Factor of Safety: 0.02\n Max Deflection: 1.87e+13 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 82.41355684396848, "fos_buckling": 0.024783911216445347, "fos_yielding": 0.1682443680393947, "deflection": 18655414264782.637, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2528": { "node_id": "node_2528", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0011)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0025)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n\nPerformance:\n Mass: 91.03 kg\n Factor of Safety: 0.10\n Max Deflection: 1.84e+13 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 91.0347894417709, "fos_buckling": 0.09545456866510202, "fos_yielding": 0.3709914443943738, "deflection": 18439347727724.742, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.112)" }, "parent_node_id": "node_2527", "improvement_over_parent": null }, "node_2529": { "node_id": "node_2529", "content": "MODIFICATION: Increase 3 thickness by 54%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0025)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n\nPerformance:\n Mass: 91.76 kg\n Factor of Safety: 0.38\n Max Deflection: 6.19e+12 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 91.75647255393463, "fos_buckling": 0.37659303466567023, "fos_yielding": 2.6919098886303146, "deflection": 6185975298820.391, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.536)" }, "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0025)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n\nPerformance:\n Mass: 103.63 kg\n Factor of Safety: 0.25\n Max Deflection: 8.27e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 103.63051947012006, "fos_buckling": 0.25487251228398766, "fos_yielding": 1.3411943791938803, "deflection": 0.008270740298762038, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.002952)" }, "parent_node_id": "node_2529", "improvement_over_parent": null }, "node_2531": { "node_id": "node_2531", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0025)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0035)]\n\nPerformance:\n Mass: 120.69 kg\n Factor of Safety: 0.25\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": 120.68935827908692, "fos_buckling": 0.25472475865792926, "fos_yielding": 1.3404151057460876, "deflection": 0.0074001507557942044, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.003538)" }, "parent_node_id": "node_2530", "improvement_over_parent": null }, "node_2532": { "node_id": "node_2532", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n\nPerformance:\n Mass: 157.19 kg\n Factor of Safety: 0.32\n Max Deflection: 5.69e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 157.19246136140475, "fos_buckling": 0.317522077140907, "fos_yielding": 1.7420956606510352, "deflection": 0.005693683377034468, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.332)" }, "parent_node_id": "node_2531", "improvement_over_parent": null }, "node_2533": { "node_id": "node_2533", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n\nPerformance:\n Mass: 188.50 kg\n Factor of Safety: 0.96\n Max Deflection: 2.20e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 188.50201170633358, "fos_buckling": 0.9578074393208754, "fos_yielding": 3.5044519620017893, "deflection": 0.002199329861688417, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.005592)" }, "parent_node_id": "node_2532", "improvement_over_parent": null }, "node_2534": { "node_id": "node_2534", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n\nPerformance:\n Mass: 204.08 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.08334833878612, "fos_buckling": 1.544055649706218, "fos_yielding": 4.257235039582952, "deflection": 0.0020056387313936268, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.003945)" }, "parent_node_id": "node_2533", "improvement_over_parent": null }, "node_2535": { "node_id": "node_2535", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2534", "improvement_over_parent": null }, "node_2536": { "node_id": "node_2536", "content": "INITIAL DESIGN (Trace 360)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0024)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n\nPerformance:\n Mass: 155.25 kg\n Factor of Safety: 1.08\n Max Deflection: 2.62e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 155.2498359121677, "fos_buckling": 1.0775504431277307, "fos_yielding": 3.314284302829988, "deflection": 0.0026156218794905904, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2537": { "node_id": "node_2537", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0045)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0049)]\n\nPerformance:\n Mass: 175.62 kg\n Factor of Safety: 1.21\n Max Deflection: 2.32e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 175.6183280106854, "fos_buckling": 1.2054331369464177, "fos_yielding": 3.744030826499752, "deflection": 0.0023151097589823475, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.142)" }, "parent_node_id": "node_2536", "improvement_over_parent": null }, "node_2538": { "node_id": "node_2538", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0032)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 199.16 kg\n Factor of Safety: 1.35\n Max Deflection: 2.04e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 199.16023727397632, "fos_buckling": 1.3492419866376189, "fos_yielding": 4.239243192444963, "deflection": 0.002044361449261538, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.147)" }, "parent_node_id": "node_2537", "improvement_over_parent": null }, "node_2539": { "node_id": "node_2539", "content": "MODIFICATION: Increase 12 thickness by 38%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 204.08 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.0840425824578, "fos_buckling": 1.5446834153917586, "fos_yielding": 4.255895150010119, "deflection": 0.002005480929844398, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.381)" }, "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "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 361)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 174.24 kg\n Factor of Safety: 1.01\n Max Deflection: 2.27e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 174.23824591581473, "fos_buckling": 1.0054642698501426, "fos_yielding": 3.507021423272622, "deflection": 0.002267350050774307, "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 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 189.69 kg\n Factor of Safety: 0.94\n Max Deflection: 2.13e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 189.68915042955553, "fos_buckling": 0.9373550515701002, "fos_yielding": 3.985753034114254, "deflection": 0.002134661834134522, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003928)" }, "parent_node_id": "node_2541", "improvement_over_parent": null }, "node_2543": { "node_id": "node_2543", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n\nPerformance:\n Mass: 199.33 kg\n Factor of Safety: 1.49\n Max Deflection: 2.03e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 199.33091535183854, "fos_buckling": 1.4865648336820843, "fos_yielding": 4.188097507054689, "deflection": 0.0020284654163820735, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.003423)" }, "parent_node_id": "node_2542", "improvement_over_parent": null }, "node_2544": { "node_id": "node_2544", "content": "MODIFICATION: Increase 9 thickness by 37%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0065)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n\nPerformance:\n Mass: 206.52 kg\n Factor of Safety: 1.49\n Max Deflection: 1.99e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 206.5225016001612, "fos_buckling": 1.4907813021659821, "fos_yielding": 4.184517873654003, "deflection": 0.0019892527900380796, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.370)" }, "parent_node_id": "node_2543", "improvement_over_parent": null }, "node_2545": { "node_id": "node_2545", "content": "MODIFICATION: Increase 11 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0065)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0055)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n\nPerformance:\n Mass: 210.97 kg\n Factor of Safety: 1.47\n Max Deflection: 1.97e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 210.96967182833555, "fos_buckling": 1.4720269824251477, "fos_yielding": 4.192868948920932, "deflection": 0.0019667166857475398, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.263)" }, "parent_node_id": "node_2544", "improvement_over_parent": null }, "node_2546": { "node_id": "node_2546", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2545", "improvement_over_parent": null }, "node_2547": { "node_id": "node_2547", "content": "INITIAL DESIGN (Trace 362)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0017)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0014)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0047)]\n\nPerformance:\n Mass: 148.03 kg\n Factor of Safety: 0.30\n Max Deflection: 3.90e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 148.02645745436018, "fos_buckling": 0.2958619967851799, "fos_yielding": 2.143123005946242, "deflection": 0.0038976010208964444, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2548": { "node_id": "node_2548", "content": "MODIFICATION: Increase 0 thickness by 49%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0014)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0047)]\n\nPerformance:\n Mass: 149.49 kg\n Factor of Safety: 0.30\n Max Deflection: 3.90e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 149.48687667424346, "fos_buckling": 0.2958036983677844, "fos_yielding": 2.1427007121711434, "deflection": 0.0038980847010186056, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.495)" }, "parent_node_id": "node_2547", "improvement_over_parent": null }, "node_2549": { "node_id": "node_2549", "content": "MODIFICATION: Increase 7 thickness by 44%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0047)]\n\nPerformance:\n Mass: 151.22 kg\n Factor of Safety: 0.30\n Max Deflection: 3.83e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 151.2221968536684, "fos_buckling": 0.29566524614493706, "fos_yielding": 2.141697811672828, "deflection": 0.0038250704898886933, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.441)" }, "parent_node_id": "node_2548", "improvement_over_parent": null }, "node_2550": { "node_id": "node_2550", "content": "MODIFICATION: Increase 7 thickness by 42%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0047)]\n\nPerformance:\n Mass: 153.49 kg\n Factor of Safety: 0.30\n Max Deflection: 3.77e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 153.49004774126627, "fos_buckling": 0.29548450130046394, "fos_yielding": 2.1403885579038224, "deflection": 0.0037671370736283064, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.416)" }, "parent_node_id": "node_2549", "improvement_over_parent": null }, "node_2551": { "node_id": "node_2551", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 181.72 kg\n Factor of Safety: 0.34\n Max Deflection: 3.19e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 181.71904460857684, "fos_buckling": 0.3391902433059425, "fos_yielding": 2.525796184138109, "deflection": 0.0031910594000637144, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.202)" }, "parent_node_id": "node_2550", "improvement_over_parent": null }, "node_2552": { "node_id": "node_2552", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n\nPerformance:\n Mass: 203.92 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.92202929229063, "fos_buckling": 1.5435611871414738, "fos_yielding": 4.252102101012346, "deflection": 0.0020071480886167375, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.004709)" }, "parent_node_id": "node_2551", "improvement_over_parent": null }, "node_2553": { "node_id": "node_2553", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2552", "improvement_over_parent": null }, "node_2554": { "node_id": "node_2554", "content": "INITIAL DESIGN (Trace 363)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0018)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0032)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0020)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0021)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0025)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0035)]\n\nPerformance:\n Mass: 105.61 kg\n Factor of Safety: 0.43\n Max Deflection: 7.40e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 105.6118530863063, "fos_buckling": 0.4337122371856644, "fos_yielding": 1.5251100976006275, "deflection": 0.0073969709407430894, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2555": { "node_id": "node_2555", "content": "MODIFICATION: Increase 9 thickness by 44%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0018)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0032)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0029)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0021)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0025)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0035)]\n\nPerformance:\n Mass: 109.85 kg\n Factor of Safety: 0.43\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": 109.8502463923, "fos_buckling": 0.4338391273092827, "fos_yielding": 1.5251100976006278, "deflection": 0.007279736003972802, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.443)" }, "parent_node_id": "node_2554", "improvement_over_parent": null }, "node_2556": { "node_id": "node_2556", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0042)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0046)]\n\nPerformance:\n Mass: 143.07 kg\n Factor of Safety: 0.55\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": 143.07300547586493, "fos_buckling": 0.5472777337921819, "fos_yielding": 1.9849496009635053, "deflection": 0.005591454757674338, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.326)" }, "parent_node_id": "node_2555", "improvement_over_parent": null }, "node_2557": { "node_id": "node_2557", "content": "MODIFICATION: Increase 1 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0042)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0046)]\n\nPerformance:\n Mass: 144.35 kg\n Factor of Safety: 0.55\n Max Deflection: 5.57e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 144.34702821846344, "fos_buckling": 0.5474224291553671, "fos_yielding": 1.9849496009635044, "deflection": 0.005566099336360588, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.263)" }, "parent_node_id": "node_2556", "improvement_over_parent": null }, "node_2558": { "node_id": "node_2558", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0042)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0046)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n\nPerformance:\n Mass: 155.56 kg\n Factor of Safety: 0.86\n Max Deflection: 2.98e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 155.56428003255013, "fos_buckling": 0.858771822696259, "fos_yielding": 2.764302159179132, "deflection": 0.002978233108148236, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.003336)" }, "parent_node_id": "node_2557", "improvement_over_parent": null }, "node_2559": { "node_id": "node_2559", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0042)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0046)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n\nPerformance:\n Mass: 171.65 kg\n Factor of Safety: 1.34\n Max Deflection: 2.38e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 171.6471706440613, "fos_buckling": 1.3389306560076242, "fos_yielding": 3.5860479464942774, "deflection": 0.0023797571103002066, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.003621)" }, "parent_node_id": "node_2558", "improvement_over_parent": null }, "node_2560": { "node_id": "node_2560", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n\nPerformance:\n Mass: 203.84 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.84282960123323, "fos_buckling": 1.5430782689926403, "fos_yielding": 4.25045152816283, "deflection": 0.002007943537501191, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.206)" }, "parent_node_id": "node_2559", "improvement_over_parent": null }, "node_2561": { "node_id": "node_2561", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2560", "improvement_over_parent": null }, "node_2562": { "node_id": "node_2562", "content": "INITIAL DESIGN (Trace 364)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0033)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0023)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0024)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0027)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0039)]\n\nPerformance:\n Mass: 139.76 kg\n Factor of Safety: 0.95\n Max Deflection: 2.87e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 139.7550893217179, "fos_buckling": 0.9533339796329118, "fos_yielding": 2.5635583471610746, "deflection": 0.002871292991934496, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0038)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0045)]\n\nPerformance:\n Mass: 158.64 kg\n Factor of Safety: 1.07\n Max Deflection: 2.53e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 158.64357328478496, "fos_buckling": 1.0700327846566118, "fos_yielding": 2.9134019325758373, "deflection": 0.0025326162355600278, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.145)" }, "parent_node_id": "node_2562", "improvement_over_parent": null }, "node_2564": { "node_id": "node_2564", "content": "MODIFICATION: Increase 6 thickness by 35%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0038)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0045)]\n\nPerformance:\n Mass: 162.94 kg\n Factor of Safety: 1.18\n Max Deflection: 2.49e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 162.93760052657845, "fos_buckling": 1.1841687560544707, "fos_yielding": 3.457295324181844, "deflection": 0.0024946655536818817, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.348)" }, "parent_node_id": "node_2563", "improvement_over_parent": null }, "node_2565": { "node_id": "node_2565", "content": "MODIFICATION: Increase 12 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0038)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0045)]\n\nPerformance:\n Mass: 165.87 kg\n Factor of Safety: 1.30\n Max Deflection: 2.46e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 165.86722448592494, "fos_buckling": 1.300818572062086, "fos_yielding": 3.4668079859566876, "deflection": 0.0024616597639715164, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.250)" }, "parent_node_id": "node_2564", "improvement_over_parent": null }, "node_2566": { "node_id": "node_2566", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93416559716852, "fos_buckling": 1.543738621358591, "fos_yielding": 4.252705765175663, "deflection": 0.0020069514950737796, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.252)" }, "parent_node_id": "node_2565", "improvement_over_parent": null }, "node_2567": { "node_id": "node_2567", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2566", "improvement_over_parent": null }, "node_2568": { "node_id": "node_2568", "content": "INITIAL DESIGN (Trace 365)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n\nPerformance:\n Mass: 116.16 kg\n Factor of Safety: 1.04\n Max Deflection: 5.16e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 116.15711585732397, "fos_buckling": 1.0426561640318943, "fos_yielding": 2.691909888630315, "deflection": 5164821300236.935, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2569": { "node_id": "node_2569", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M12: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n\nPerformance:\n Mass: 119.42 kg\n Factor of Safety: 0.25\n Max Deflection: 7.54e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 119.42139523632568, "fos_buckling": 0.24509981652729138, "fos_yielding": 1.4844801018907483, "deflection": 0.007543616095135792, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002176)" }, "parent_node_id": "node_2568", "improvement_over_parent": null }, "node_2570": { "node_id": "node_2570", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M12: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n\nPerformance:\n Mass: 140.30 kg\n Factor of Safety: 0.28\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": 140.3019929805562, "fos_buckling": 0.2822559509869741, "fos_yielding": 1.7415114480632188, "deflection": 0.006429531421474559, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.192)" }, "parent_node_id": "node_2569", "improvement_over_parent": null }, "node_2571": { "node_id": "node_2571", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M12: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n\nPerformance:\n Mass: 149.94 kg\n Factor of Safety: 0.28\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": 149.94375790283922, "fos_buckling": 0.28152316224945717, "fos_yielding": 1.7403709890722783, "deflection": 0.006434793228320687, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.003423)" }, "parent_node_id": "node_2570", "improvement_over_parent": null }, "node_2572": { "node_id": "node_2572", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M12: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n\nPerformance:\n Mass: 181.25 kg\n Factor of Safety: 0.28\n Max Deflection: 3.31e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 181.25330824776805, "fos_buckling": 0.28093106132507145, "fos_yielding": 2.01889315009094, "deflection": 0.0033099782494952408, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.005592)" }, "parent_node_id": "node_2571", "improvement_over_parent": null }, "node_2573": { "node_id": "node_2573", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M12: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n\nPerformance:\n Mass: 203.46 kg\n Factor of Safety: 1.39\n Max Deflection: 2.01e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 203.45629293148184, "fos_buckling": 1.387795817072772, "fos_yielding": 4.254850737971529, "deflection": 0.002010590727870352, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.004709)" }, "parent_node_id": "node_2572", "improvement_over_parent": null }, "node_2574": { "node_id": "node_2574", "content": "MODIFICATION: Increase 3 thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M12: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n\nPerformance:\n Mass: 204.02 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.02366132923532, "fos_buckling": 1.5439721335753094, "fos_yielding": 4.25545104341842, "deflection": 0.0020061635338538665, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.277)" }, "parent_node_id": "node_2573", "improvement_over_parent": null }, "node_2575": { "node_id": "node_2575", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2574", "improvement_over_parent": null }, "node_2576": { "node_id": "node_2576", "content": "INITIAL DESIGN (Trace 366)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0016)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0035)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0025)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0025)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0029)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0041)]\n\nPerformance:\n Mass: 148.54 kg\n Factor of Safety: 1.08\n Max Deflection: 2.83e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 148.5395357700244, "fos_buckling": 1.0753136298308537, "fos_yielding": 2.4067033674797096, "deflection": 0.002827383622920646, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2577": { "node_id": "node_2577", "content": "MODIFICATION: Increase 0 thickness by 41%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0035)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0025)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0025)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0029)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0041)]\n\nPerformance:\n Mass: 149.70 kg\n Factor of Safety: 1.08\n Max Deflection: 2.80e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 149.69621230909522, "fos_buckling": 1.0843490525031239, "fos_yielding": 2.4055545643470695, "deflection": 0.0027964907093608743, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.412)" }, "parent_node_id": "node_2576", "improvement_over_parent": null }, "node_2578": { "node_id": "node_2578", "content": "MODIFICATION: Increase 2 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0035)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0025)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0025)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0029)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0041)]\n\nPerformance:\n Mass: 151.28 kg\n Factor of Safety: 1.10\n Max Deflection: 2.68e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 151.27640775012208, "fos_buckling": 1.0951913031190434, "fos_yielding": 3.2187776896136766, "deflection": 0.002684377510618331, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.395)" }, "parent_node_id": "node_2577", "improvement_over_parent": null }, "node_2579": { "node_id": "node_2579", "content": "MODIFICATION: Increase 12 thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0035)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0025)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0032)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0029)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0041)]\n\nPerformance:\n Mass: 154.25 kg\n Factor of Safety: 1.22\n Max Deflection: 2.64e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 154.24794522831127, "fos_buckling": 1.2224792761545051, "fos_yielding": 3.2286863638478596, "deflection": 0.0026449693889869985, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.277)" }, "parent_node_id": "node_2578", "improvement_over_parent": null }, "node_2580": { "node_id": "node_2580", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0048)]\n\nPerformance:\n Mass: 175.78 kg\n Factor of Safety: 1.37\n Max Deflection: 2.32e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 175.78054090018034, "fos_buckling": 1.3659544668048285, "fos_yielding": 3.6746048330151697, "deflection": 0.0023241148248254275, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.151)" }, "parent_node_id": "node_2579", "improvement_over_parent": null }, "node_2581": { "node_id": "node_2581", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.94 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.94302654679237, "fos_buckling": 1.543678877278749, "fos_yielding": 4.256066958209229, "deflection": 0.002006724892794937, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.176)" }, "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "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 367)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0022)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0037)]\n\nPerformance:\n Mass: 167.89 kg\n Factor of Safety: 0.47\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": 167.88848762733016, "fos_buckling": 0.47478323050623933, "fos_yielding": 2.330556627651145, "deflection": 0.006556326168840598, "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 9 thickness by 54%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0037)]\n\nPerformance:\n Mass: 171.61 kg\n Factor of Safety: 0.47\n Max Deflection: 6.49e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 171.60868921624973, "fos_buckling": 0.47472322029871034, "fos_yielding": 2.329969551512685, "deflection": 0.006491839946387378, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.536)" }, "parent_node_id": "node_2583", "improvement_over_parent": null }, "node_2585": { "node_id": "node_2585", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0037)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 184.93 kg\n Factor of Safety: 0.47\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": 184.93222328789497, "fos_buckling": 0.47386520006832505, "fos_yielding": 2.3257730724009535, "deflection": 0.0052584481862512945, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.004024)" }, "parent_node_id": "node_2584", "improvement_over_parent": null }, "node_2586": { "node_id": "node_2586", "content": "MODIFICATION: Increase 14 thickness by 50%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0037)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0060)]\n\nPerformance:\n Mass: 190.65 kg\n Factor of Safety: 0.47\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": 190.6527719820831, "fos_buckling": 0.47349775432031876, "fos_yielding": 2.3239759208835364, "deflection": 0.005229557079254043, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.497)" }, "parent_node_id": "node_2585", "improvement_over_parent": null }, "node_2587": { "node_id": "node_2587", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0037)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0060)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n\nPerformance:\n Mass: 197.88 kg\n Factor of Safety: 1.20\n Max Deflection: 2.26e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 197.8839177702915, "fos_buckling": 1.1972114235831062, "fos_yielding": 3.515795780247586, "deflection": 0.002260307817595891, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.003560)" }, "parent_node_id": "node_2586", "improvement_over_parent": null }, "node_2588": { "node_id": "node_2588", "content": "MODIFICATION: Increase 2 thickness by 38%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0037)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0060)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n\nPerformance:\n Mass: 199.89 kg\n Factor of Safety: 1.22\n Max Deflection: 2.19e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 199.88548455637667, "fos_buckling": 1.2242909892625695, "fos_yielding": 4.194504414129764, "deflection": 0.002193265338986631, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.383)" }, "parent_node_id": "node_2587", "improvement_over_parent": null }, "node_2589": { "node_id": "node_2589", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2588", "improvement_over_parent": null }, "node_2590": { "node_id": "node_2590", "content": "INITIAL DESIGN (Trace 368)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0023)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0017)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0025)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0022)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0016)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0037)]\n\nPerformance:\n Mass: 122.87 kg\n Factor of Safety: 0.72\n Max Deflection: 5.11e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 122.87264387835006, "fos_buckling": 0.7249081972484656, "fos_yielding": 2.2109505307343165, "deflection": 0.005113089837108194, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2591": { "node_id": "node_2591", "content": "MODIFICATION: Increase 8 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0023)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0017)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0031)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0022)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0016)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0037)]\n\nPerformance:\n Mass: 125.36 kg\n Factor of Safety: 0.72\n Max Deflection: 4.94e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 125.35854974048154, "fos_buckling": 0.7249776925392051, "fos_yielding": 2.210764052672775, "deflection": 0.004943996354463613, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.211)" }, "parent_node_id": "node_2590", "improvement_over_parent": null }, "node_2592": { "node_id": "node_2592", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0035)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0025)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0019)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0042)]\n\nPerformance:\n Mass: 143.17 kg\n Factor of Safety: 0.81\n Max Deflection: 4.34e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 143.17436805310422, "fos_buckling": 0.81392575643158, "fos_yielding": 2.5205854967872763, "deflection": 0.00433633415236102, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.152)" }, "parent_node_id": "node_2591", "improvement_over_parent": null }, "node_2593": { "node_id": "node_2593", "content": "MODIFICATION: Increase 12 thickness by 60%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0035)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0025)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0042)]\n\nPerformance:\n Mass: 147.44 kg\n Factor of Safety: 0.79\n Max Deflection: 4.34e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 147.43514844312304, "fos_buckling": 0.7904351880307725, "fos_yielding": 2.519858076305094, "deflection": 0.004344006886491592, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.597)" }, "parent_node_id": "node_2592", "improvement_over_parent": null }, "node_2594": { "node_id": "node_2594", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0035)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0025)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0042)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n\nPerformance:\n Mass: 154.85 kg\n Factor of Safety: 1.02\n Max Deflection: 2.76e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 154.85434100964824, "fos_buckling": 1.020112171149177, "fos_yielding": 3.269599338537926, "deflection": 0.0027559058557737937, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.002576)" }, "parent_node_id": "node_2593", "improvement_over_parent": null }, "node_2595": { "node_id": "node_2595", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n\nPerformance:\n Mass: 201.13 kg\n Factor of Safety: 1.27\n Max Deflection: 2.13e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 201.1302082496984, "fos_buckling": 1.2652382924394021, "fos_yielding": 4.234701663949289, "deflection": 0.0021286357541697516, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.328)" }, "parent_node_id": "node_2594", "improvement_over_parent": null }, "node_2596": { "node_id": "node_2596", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n\nPerformance:\n Mass: 203.94 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.94444013881844, "fos_buckling": 1.5436855426612175, "fos_yielding": 4.2525294343585855, "deflection": 0.002006899051208978, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.002221)" }, "parent_node_id": "node_2595", "improvement_over_parent": null }, "node_2597": { "node_id": "node_2597", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2596", "improvement_over_parent": null }, "node_2598": { "node_id": "node_2598", "content": "INITIAL DESIGN (Trace 369)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0012)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n\nPerformance:\n Mass: 121.03 kg\n Factor of Safety: 0.26\n Max Deflection: 5.10e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 121.03492351545451, "fos_buckling": 0.25873315488017623, "fos_yielding": 1.5125841332614107, "deflection": 0.005099778390961162, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2599": { "node_id": "node_2599", "content": "MODIFICATION: Increase 7 thickness by 43%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0017)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n\nPerformance:\n Mass: 122.46 kg\n Factor of Safety: 0.28\n Max Deflection: 4.86e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 122.4639219048873, "fos_buckling": 0.27717073764470146, "fos_yielding": 1.9849917499787266, "deflection": 0.004856070186129991, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.431)" }, "parent_node_id": "node_2598", "improvement_over_parent": null }, "node_2600": { "node_id": "node_2600", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 157.25 kg\n Factor of Safety: 0.34\n Max Deflection: 3.79e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 157.25152080275294, "fos_buckling": 0.3408473705805281, "fos_yielding": 2.5382045971850906, "deflection": 0.003788018119360406, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.311)" }, "parent_node_id": "node_2599", "improvement_over_parent": null }, "node_2601": { "node_id": "node_2601", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n\nPerformance:\n Mass: 179.45 kg\n Factor of Safety: 1.00\n Max Deflection: 2.52e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 179.45450548646673, "fos_buckling": 1.0043357108409579, "fos_yielding": 3.2797121473208892, "deflection": 0.0025184276715547716, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.004709)" }, "parent_node_id": "node_2600", "improvement_over_parent": null }, "node_2602": { "node_id": "node_2602", "content": "MODIFICATION: Increase 9 thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n\nPerformance:\n Mass: 181.52 kg\n Factor of Safety: 0.99\n Max Deflection: 2.51e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 181.5200665225189, "fos_buckling": 0.9922557324063036, "fos_yielding": 3.2797121473208892, "deflection": 0.0025130344555348784, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.302)" }, "parent_node_id": "node_2601", "improvement_over_parent": null }, "node_2603": { "node_id": "node_2603", "content": "MODIFICATION: Increase 7 thickness by 58%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n\nPerformance:\n Mass: 184.85 kg\n Factor of Safety: 0.99\n Max Deflection: 2.51e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 184.84787702382204, "fos_buckling": 0.9924859186034919, "fos_yielding": 3.2789715549224643, "deflection": 0.0025099254528403916, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.577)" }, "parent_node_id": "node_2602", "improvement_over_parent": null }, "node_2604": { "node_id": "node_2604", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n\nPerformance:\n Mass: 203.95 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.95159634661545, "fos_buckling": 1.5437500798854795, "fos_yielding": 4.252737282627137, "deflection": 0.002006878034497119, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.004368)" }, "parent_node_id": "node_2603", "improvement_over_parent": null }, "node_2605": { "node_id": "node_2605", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2604", "improvement_over_parent": null }, "node_2606": { "node_id": "node_2606", "content": "INITIAL DESIGN (Trace 370)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 175.36 kg\n Factor of Safety: 1.13\n Max Deflection: 3.32e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 175.35682407664478, "fos_buckling": 1.1263806606586668, "fos_yielding": 3.264023641977814, "deflection": 0.0033174421248825265, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2607": { "node_id": "node_2607", "content": "MODIFICATION: Increase 4 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 176.03 kg\n Factor of Safety: 1.13\n Max Deflection: 3.32e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 176.0277963618159, "fos_buckling": 1.1263296117048067, "fos_yielding": 3.2638757124206785, "deflection": 0.003317592448409057, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.233)" }, "parent_node_id": "node_2606", "improvement_over_parent": null }, "node_2608": { "node_id": "node_2608", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 191.48 kg\n Factor of Safety: 0.99\n Max Deflection: 3.36e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 191.47870087555668, "fos_buckling": 0.9850835562952188, "fos_yielding": 3.2604729502997905, "deflection": 0.0033575484376254703, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003928)" }, "parent_node_id": "node_2607", "improvement_over_parent": null }, "node_2609": { "node_id": "node_2609", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n\nPerformance:\n Mass: 201.12 kg\n Factor of Safety: 1.26\n Max Deflection: 2.13e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 201.1204657978397, "fos_buckling": 1.2644779150860086, "fos_yielding": 4.234773048456316, "deflection": 0.0021287869637141876, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.003423)" }, "parent_node_id": "node_2608", "improvement_over_parent": null }, "node_2610": { "node_id": "node_2610", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93469768695974, "fos_buckling": 1.543710892035818, "fos_yielding": 4.2526007526811025, "deflection": 0.0020069777636696727, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.002221)" }, "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "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 371)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0045)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0049)]\n\nPerformance:\n Mass: 161.10 kg\n Factor of Safety: 0.89\n Max Deflection: 2.89e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 161.09834029621123, "fos_buckling": 0.8911432512318158, "fos_yielding": 2.8871252465074906, "deflection": 0.0028899267008242065, "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: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0045)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0049)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n\nPerformance:\n Mass: 177.89 kg\n Factor of Safety: 1.30\n Max Deflection: 2.31e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 177.8939534937619, "fos_buckling": 1.30323391066767, "fos_yielding": 3.746977920282863, "deflection": 0.0023073620360262075, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.003795)" }, "parent_node_id": "node_2612", "improvement_over_parent": null }, "node_2614": { "node_id": "node_2614", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n\nPerformance:\n Mass: 202.36 kg\n Factor of Safety: 1.45\n Max Deflection: 2.03e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 202.35744769806385, "fos_buckling": 1.4470104816489082, "fos_yielding": 4.255625624618274, "deflection": 0.0020313979608402657, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.151)" }, "parent_node_id": "node_2613", "improvement_over_parent": null }, "node_2615": { "node_id": "node_2615", "content": "MODIFICATION: Increase 0 thickness by 45%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n\nPerformance:\n Mass: 203.96 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.96271581240086, "fos_buckling": 1.5439081482067833, "fos_yielding": 4.25327456331425, "deflection": 0.0020067008580869974, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.453)" }, "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "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 372)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0020)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0035)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0025)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0020)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n\nPerformance:\n Mass: 123.59 kg\n Factor of Safety: 0.01\n Max Deflection: 1.83e+14 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 123.58568976605176, "fos_buckling": 0.011765640823290928, "fos_yielding": 0.08412218401969733, "deflection": 183357215728468.1, "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 1 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0035)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0025)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0020)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n\nPerformance:\n Mass: 125.18 kg\n Factor of Safety: 0.54\n Max Deflection: 4.62e+12 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 125.18328246479817, "fos_buckling": 0.5439084021900487, "fos_yielding": 2.596551677583188, "deflection": 4620081411667.231, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.393)" }, "parent_node_id": "node_2617", "improvement_over_parent": null }, "node_2619": { "node_id": "node_2619", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0035)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0025)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0020)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n\nPerformance:\n Mass: 128.13 kg\n Factor of Safety: 0.25\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": 128.1328001685175, "fos_buckling": 0.254880313563308, "fos_yielding": 1.3415399076624737, "deflection": 0.00739402330823879, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.001951)" }, "parent_node_id": "node_2618", "improvement_over_parent": null }, "node_2620": { "node_id": "node_2620", "content": "MODIFICATION: Increase 4 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0035)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0025)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0020)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n\nPerformance:\n Mass: 128.94 kg\n Factor of Safety: 0.25\n Max Deflection: 7.37e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 128.94093824722123, "fos_buckling": 0.25485933161842633, "fos_yielding": 1.3414292206104121, "deflection": 0.007369640473557363, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.182)" }, "parent_node_id": "node_2619", "improvement_over_parent": null }, "node_2621": { "node_id": "node_2621", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0035)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0025)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0020)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0042)]\n\nPerformance:\n Mass: 153.04 kg\n Factor of Safety: 1.18\n Max Deflection: 2.63e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 153.03696785257068, "fos_buckling": 1.180037173318257, "fos_yielding": 3.2673401278143093, "deflection": 0.0026316792088816286, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.004209)" }, "parent_node_id": "node_2620", "improvement_over_parent": null }, "node_2622": { "node_id": "node_2622", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n\nPerformance:\n Mass: 198.86 kg\n Factor of Safety: 1.47\n Max Deflection: 2.03e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 198.85543863075134, "fos_buckling": 1.4743933980341721, "fos_yielding": 4.23311444490357, "deflection": 0.002031384984359527, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.328)" }, "parent_node_id": "node_2621", "improvement_over_parent": null }, "node_2623": { "node_id": "node_2623", "content": "MODIFICATION: Increase 13 thickness by 52%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0060)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n\nPerformance:\n Mass: 205.80 kg\n Factor of Safety: 1.46\n Max Deflection: 2.01e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 205.80387318791372, "fos_buckling": 1.4624502945636075, "fos_yielding": 4.218530330355746, "deflection": 0.00201364695832509, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.522)" }, "parent_node_id": "node_2622", "improvement_over_parent": null }, "node_2624": { "node_id": "node_2624", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2623", "improvement_over_parent": null }, "node_2625": { "node_id": "node_2625", "content": "INITIAL DESIGN (Trace 373)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0015)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0017)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0010)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0012)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0024)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0016)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0016)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0016)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0016)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0020)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0018)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0026)]\n\nPerformance:\n Mass: 85.94 kg\n Factor of Safety: 0.26\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": 85.93663721225292, "fos_buckling": 0.2557950134990042, "fos_yielding": 1.1521733516732802, "deflection": 0.011590583203936416, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2626": { "node_id": "node_2626", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0013)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0015)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0019)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0019)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0019)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0019)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0025)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0022)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0032)]\n\nPerformance:\n Mass: 103.20 kg\n Factor of Safety: 0.30\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": 103.20105715512037, "fos_buckling": 0.30178223156200146, "fos_yielding": 1.3813693312218023, "deflection": 0.009668721384208568, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.211)" }, "parent_node_id": "node_2625", "improvement_over_parent": null }, "node_2627": { "node_id": "node_2627", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0013)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0015)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0019)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0019)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0019)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0019)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0025)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0022)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0032)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0022)]\n\nPerformance:\n Mass: 112.31 kg\n Factor of Safety: 0.30\n Max Deflection: 8.80e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 112.31362670142312, "fos_buckling": 0.3015948969900526, "fos_yielding": 1.3805135026901145, "deflection": 0.008796751572265093, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.002229)" }, "parent_node_id": "node_2626", "improvement_over_parent": null }, "node_2628": { "node_id": "node_2628", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0025)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0025)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n\nPerformance:\n Mass: 147.20 kg\n Factor of Safety: 0.38\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": 147.19816484627404, "fos_buckling": 0.3821239530610949, "fos_yielding": 1.803478734823862, "deflection": 0.0067354273316022634, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.332)" }, "parent_node_id": "node_2627", "improvement_over_parent": null }, "node_2629": { "node_id": "node_2629", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0033)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 190.62 kg\n Factor of Safety: 0.47\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": 190.62230925768773, "fos_buckling": 0.4737858698522096, "fos_yielding": 2.3260885410598995, "deflection": 0.005223762418671591, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.323)" }, "parent_node_id": "node_2628", "improvement_over_parent": null }, "node_2630": { "node_id": "node_2630", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0033)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n\nPerformance:\n Mass: 197.85 kg\n Factor of Safety: 1.30\n Max Deflection: 2.06e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 197.85345504589614, "fos_buckling": 1.2975516203004471, "fos_yielding": 4.259874232154261, "deflection": 0.002057993616785018, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.003560)" }, "parent_node_id": "node_2629", "improvement_over_parent": null }, "node_2631": { "node_id": "node_2631", "content": "MODIFICATION: Increase 10 thickness by 42%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0033)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0048)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n\nPerformance:\n Mass: 202.02 kg\n Factor of Safety: 1.18\n Max Deflection: 2.04e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 202.0166126429402, "fos_buckling": 1.1807429058339294, "fos_yielding": 4.261540493279574, "deflection": 0.0020406659870669903, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.422)" }, "parent_node_id": "node_2630", "improvement_over_parent": null }, "node_2632": { "node_id": "node_2632", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2631", "improvement_over_parent": null }, "node_2633": { "node_id": "node_2633", "content": "INITIAL DESIGN (Trace 374)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 143.38 kg\n Factor of Safety: 0.32\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": 143.38098522487013, "fos_buckling": 0.3172368919334349, "fos_yielding": 1.7402212733144957, "deflection": 0.00654866288804962, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2634": { "node_id": "node_2634", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n\nPerformance:\n Mass: 174.69 kg\n Factor of Safety: 0.34\n Max Deflection: 3.19e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 174.69053556979895, "fos_buckling": 0.33970347067983175, "fos_yielding": 2.5296692646404866, "deflection": 0.0031850401255696407, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.005592)" }, "parent_node_id": "node_2633", "improvement_over_parent": null }, "node_2635": { "node_id": "node_2635", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n\nPerformance:\n Mass: 193.22 kg\n Factor of Safety: 1.22\n Max Deflection: 2.10e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 193.21543216136777, "fos_buckling": 1.2192400555242626, "fos_yielding": 4.228209469332658, "deflection": 0.002097975772506765, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.003866)" }, "parent_node_id": "node_2634", "improvement_over_parent": null }, "node_2636": { "node_id": "node_2636", "content": "MODIFICATION: Increase 10 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0041)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n\nPerformance:\n Mass: 195.41 kg\n Factor of Safety: 1.21\n Max Deflection: 2.09e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 195.41093337028028, "fos_buckling": 1.2137367180005012, "fos_yielding": 4.228910751757789, "deflection": 0.002090065476200811, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.218)" }, "parent_node_id": "node_2635", "improvement_over_parent": null }, "node_2637": { "node_id": "node_2637", "content": "MODIFICATION: Increase 12 thickness by 64%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0041)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0065)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n\nPerformance:\n Mass: 203.88 kg\n Factor of Safety: 1.34\n Max Deflection: 2.06e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 203.8829993791722, "fos_buckling": 1.3351173070261682, "fos_yielding": 4.207225349210251, "deflection": 0.0020592949190007806, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.639)" }, "parent_node_id": "node_2636", "improvement_over_parent": null }, "node_2638": { "node_id": "node_2638", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2637", "improvement_over_parent": null }, "node_2639": { "node_id": "node_2639", "content": "INITIAL DESIGN (Trace 375)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0045)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0042)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0035)]\n\nPerformance:\n Mass: 138.21 kg\n Factor of Safety: 0.19\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": 138.21304354295, "fos_buckling": 0.187673602101362, "fos_yielding": 1.2779425950001317, "deflection": 11566575655832.053, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2640": { "node_id": "node_2640", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 154.81 kg\n Factor of Safety: 0.02\n Max Deflection: 9.15e+13 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 154.81289762823872, "fos_buckling": 0.018628920227913848, "fos_yielding": 0.09133948908199649, "deflection": 91530900520677.69, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.131)" }, "parent_node_id": "node_2639", "improvement_over_parent": null }, "node_2641": { "node_id": "node_2641", "content": "MODIFICATION: Increase 11 thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 158.88 kg\n Factor of Safety: 0.49\n Max Deflection: 4.97e+12 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 158.8796188772827, "fos_buckling": 0.4860832731675102, "fos_yielding": 2.691909888630315, "deflection": 4965782059831.313, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.297)" }, "parent_node_id": "node_2640", "improvement_over_parent": null }, "node_2642": { "node_id": "node_2642", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n\nPerformance:\n Mass: 162.71 kg\n Factor of Safety: 0.22\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": 162.71202764400147, "fos_buckling": 0.22432443950971404, "fos_yielding": 1.39008541096508, "deflection": 0.006459145429590895, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002592)" }, "parent_node_id": "node_2641", "improvement_over_parent": null }, "node_2643": { "node_id": "node_2643", "content": "MODIFICATION: Increase 8 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n\nPerformance:\n Mass: 163.90 kg\n Factor of Safety: 0.26\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": 163.89665147695712, "fos_buckling": 0.2602877047484389, "fos_yielding": 1.6476246959459482, "deflection": 0.006174900329419956, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.199)" }, "parent_node_id": "node_2642", "improvement_over_parent": null }, "node_2644": { "node_id": "node_2644", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n\nPerformance:\n Mass: 195.21 kg\n Factor of Safety: 1.46\n Max Deflection: 2.06e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 195.20620182188594, "fos_buckling": 1.458666968710261, "fos_yielding": 4.182842249460296, "deflection": 0.0020557046602029563, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.005592)" }, "parent_node_id": "node_2643", "improvement_over_parent": null }, "node_2645": { "node_id": "node_2645", "content": "MODIFICATION: Increase 9 thickness by 55%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0073)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n\nPerformance:\n Mass: 205.62 kg\n Factor of Safety: 1.48\n Max Deflection: 2.01e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 205.62445039450958, "fos_buckling": 1.479954523773547, "fos_yielding": 4.177766748543808, "deflection": 0.002008435753709723, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.546)" }, "parent_node_id": "node_2644", "improvement_over_parent": null }, "node_2646": { "node_id": "node_2646", "content": "MODIFICATION: Increase 13 thickness by 47%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0073)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0058)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n\nPerformance:\n Mass: 211.93 kg\n Factor of Safety: 1.45\n Max Deflection: 2.00e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 211.9287786363747, "fos_buckling": 1.451856041704742, "fos_yielding": 4.222158428186282, "deflection": 0.0019954277652460433, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.471)" }, "parent_node_id": "node_2645", "improvement_over_parent": null }, "node_2647": { "node_id": "node_2647", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2646", "improvement_over_parent": null }, "node_2648": { "node_id": "node_2648", "content": "INITIAL DESIGN (Trace 376)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 154.35 kg\n Factor of Safety: 0.32\n Max Deflection: 5.72e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 154.34873218222472, "fos_buckling": 0.31730251962094747, "fos_yielding": 1.740582337143377, "deflection": 0.005720450543868815, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2649": { "node_id": "node_2649", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n\nPerformance:\n Mass: 169.93 kg\n Factor of Safety: 0.32\n Max Deflection: 5.70e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 169.93006881467727, "fos_buckling": 0.31680064097957933, "fos_yielding": 1.73782116274237, "deflection": 0.005704119430425748, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.003945)" }, "parent_node_id": "node_2648", "improvement_over_parent": null }, "node_2650": { "node_id": "node_2650", "content": "MODIFICATION: Increase 3 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n\nPerformance:\n Mass: 170.67 kg\n Factor of Safety: 0.32\n Max Deflection: 5.70e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 170.66929924474007, "fos_buckling": 0.31679271680103754, "fos_yielding": 1.7377775666741389, "deflection": 0.005696801551943281, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.391)" }, "parent_node_id": "node_2649", "improvement_over_parent": null }, "node_2651": { "node_id": "node_2651", "content": "MODIFICATION: Increase 11 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n\nPerformance:\n Mass: 172.63 kg\n Factor of Safety: 0.32\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": 172.63096383058345, "fos_buckling": 0.3167716906645739, "fos_yielding": 1.7376618882313848, "deflection": 0.005685576239153179, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.230)" }, "parent_node_id": "node_2650", "improvement_over_parent": null }, "node_2652": { "node_id": "node_2652", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n\nPerformance:\n Mass: 203.94 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.94051417551228, "fos_buckling": 1.5438354824111518, "fos_yielding": 4.252503545287388, "deflection": 0.002006925213073266, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.005592)" }, "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "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 377)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0047)]\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_2655": { "node_id": "node_2655", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0047)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n\nPerformance:\n Mass: 149.87 kg\n Factor of Safety: 0.99\n Max Deflection: 3.33e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 149.86657336508796, "fos_buckling": 0.9922278875717797, "fos_yielding": 1.766649751116814, "deflection": 0.0033324108402527437, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003301)" }, "parent_node_id": "node_2654", "improvement_over_parent": null }, "node_2656": { "node_id": "node_2656", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0047)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n\nPerformance:\n Mass: 153.13 kg\n Factor of Safety: 0.83\n Max Deflection: 3.16e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 153.1336270791711, "fos_buckling": 0.8314914133491393, "fos_yielding": 2.0963628220482042, "deflection": 0.0031553110245985502, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002178)" }, "parent_node_id": "node_2655", "improvement_over_parent": null }, "node_2657": { "node_id": "node_2657", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n\nPerformance:\n Mass: 179.68 kg\n Factor of Safety: 0.95\n Max Deflection: 2.69e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 179.6776100603002, "fos_buckling": 0.951181174095321, "fos_yielding": 2.4702227060103503, "deflection": 0.0026905203740258507, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.190)" }, "parent_node_id": "node_2656", "improvement_over_parent": null }, "node_2658": { "node_id": "node_2658", "content": "MODIFICATION: Increase 2 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n\nPerformance:\n Mass: 180.81 kg\n Factor of Safety: 0.98\n Max Deflection: 2.61e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 180.81300745105898, "fos_buckling": 0.9756735366786258, "fos_yielding": 3.0229336822028667, "deflection": 0.0026067959967989314, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.264)" }, "parent_node_id": "node_2657", "improvement_over_parent": null }, "node_2659": { "node_id": "node_2659", "content": "MODIFICATION: Increase 9 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0061)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n\nPerformance:\n Mass: 186.48 kg\n Factor of Safety: 0.98\n Max Deflection: 2.57e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 186.47708401865452, "fos_buckling": 0.9758648441947144, "fos_yielding": 3.022498768402518, "deflection": 0.0025659457732689172, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.289)" }, "parent_node_id": "node_2658", "improvement_over_parent": null }, "node_2660": { "node_id": "node_2660", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0061)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n\nPerformance:\n Mass: 205.58 kg\n Factor of Safety: 1.40\n Max Deflection: 2.07e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 205.58080334144793, "fos_buckling": 1.3970792011392716, "fos_yielding": 3.1738570166639977, "deflection": 0.0020688468440031153, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.004368)" }, "parent_node_id": "node_2659", "improvement_over_parent": null }, "node_2661": { "node_id": "node_2661", "content": "MODIFICATION: Increase 2 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0061)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n\nPerformance:\n Mass: 207.59 kg\n Factor of Safety: 1.52\n Max Deflection: 1.99e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 207.58991513953626, "fos_buckling": 1.5241644710239408, "fos_yielding": 4.198532818087279, "deflection": 0.0019863748866859655, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.385)" }, "parent_node_id": "node_2660", "improvement_over_parent": null }, "node_2662": { "node_id": "node_2662", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2661", "improvement_over_parent": null }, "node_2663": { "node_id": "node_2663", "content": "INITIAL DESIGN (Trace 378)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0010)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0012)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0012)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0007)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0011)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0008)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0016)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0011)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0010)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0011)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0015)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0011)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0014)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0013)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0013)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0018)]\n\nPerformance:\n Mass: 68.76 kg\n Factor of Safety: 0.55\n Max Deflection: 5.90e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 68.76106711579286, "fos_buckling": 0.5463644229648416, "fos_yielding": 1.444114690545626, "deflection": 0.005904803867125537, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2664": { "node_id": "node_2664", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0013)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0015)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0009)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0015)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0011)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0014)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0013)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0014)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0019)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0014)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0018)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0016)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0016)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0023)]\n\nPerformance:\n Mass: 87.34 kg\n Factor of Safety: 0.69\n Max Deflection: 4.65e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 87.34259487475651, "fos_buckling": 0.6868294325408797, "fos_yielding": 1.832408102673777, "deflection": 0.0046538203046657236, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.280)" }, "parent_node_id": "node_2663", "improvement_over_parent": null }, "node_2665": { "node_id": "node_2665", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0016)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0019)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0012)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0014)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0018)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0025)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0018)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0023)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0021)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0029)]\n\nPerformance:\n Mass: 110.04 kg\n Factor of Safety: 0.85\n Max Deflection: 3.70e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 110.03759630382152, "fos_buckling": 0.854194988001969, "fos_yielding": 2.3055385816081384, "deflection": 0.003699044128537234, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.272)" }, "parent_node_id": "node_2664", "improvement_over_parent": null }, "node_2666": { "node_id": "node_2666", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0032)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0023)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0027)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0038)]\n\nPerformance:\n Mass: 141.01 kg\n Factor of Safety: 1.08\n Max Deflection: 2.89e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 141.00954341067956, "fos_buckling": 1.0750930392690732, "fos_yielding": 2.9492400819770377, "deflection": 0.0028919636439073975, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.299)" }, "parent_node_id": "node_2665", "improvement_over_parent": null }, "node_2667": { "node_id": "node_2667", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0042)]\n\nPerformance:\n Mass: 156.28 kg\n Factor of Safety: 1.18\n Max Deflection: 2.61e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 156.28157833189957, "fos_buckling": 1.1807997999940547, "fos_yielding": 3.265805841892134, "deflection": 0.0026117573923826643, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.116)" }, "parent_node_id": "node_2666", "improvement_over_parent": null }, "node_2668": { "node_id": "node_2668", "content": "MODIFICATION: Increase 8 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0042)]\n\nPerformance:\n Mass: 158.29 kg\n Factor of Safety: 1.25\n Max Deflection: 2.58e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 158.2884009378141, "fos_buckling": 1.249966518187885, "fos_yielding": 3.309806650632468, "deflection": 0.0025783322574247135, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.258)" }, "parent_node_id": "node_2667", "improvement_over_parent": null }, "node_2669": { "node_id": "node_2669", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 204.14 kg\n Factor of Safety: 1.54\n Max Deflection: 2.00e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.1410050329044, "fos_buckling": 1.5449644637362494, "fos_yielding": 4.256834079191141, "deflection": 0.0020049728469637646, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.318)" }, "parent_node_id": "node_2668", "improvement_over_parent": null }, "node_2670": { "node_id": "node_2670", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2669", "improvement_over_parent": null }, "node_2671": { "node_id": "node_2671", "content": "INITIAL DESIGN (Trace 379)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0017)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0028)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0021)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nPerformance:\n Mass: 132.52 kg\n Factor of Safety: 0.59\n Max Deflection: 3.64e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 132.52275100990616, "fos_buckling": 0.5863828353597221, "fos_yielding": 2.7028896467781562, "deflection": 0.0036435704016176624, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2672": { "node_id": "node_2672", "content": "MODIFICATION: Increase 10 thickness by 66%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0017)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0028)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nPerformance:\n Mass: 138.38 kg\n Factor of Safety: 0.83\n Max Deflection: 3.43e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 138.3772652051208, "fos_buckling": 0.8288878647275513, "fos_yielding": 2.799224933246547, "deflection": 0.003430408745826167, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.658)" }, "parent_node_id": "node_2671", "improvement_over_parent": null }, "node_2673": { "node_id": "node_2673", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0017)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0028)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n\nPerformance:\n Mass: 149.13 kg\n Factor of Safety: 0.85\n Max Deflection: 2.87e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 149.12589509460395, "fos_buckling": 0.8467360772502776, "fos_yielding": 2.3718530818400536, "deflection": 0.002873356058746803, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.003186)" }, "parent_node_id": "node_2672", "improvement_over_parent": null }, "node_2674": { "node_id": "node_2674", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0017)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0028)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n\nPerformance:\n Mass: 158.26 kg\n Factor of Safety: 0.93\n Max Deflection: 2.66e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 158.26302780956564, "fos_buckling": 0.9265312138827148, "fos_yielding": 2.4645389486480194, "deflection": 0.0026565361041947073, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.002663)" }, "parent_node_id": "node_2673", "improvement_over_parent": null }, "node_2675": { "node_id": "node_2675", "content": "MODIFICATION: Increase 10 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0017)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0028)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0046)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n\nPerformance:\n Mass: 162.71 kg\n Factor of Safety: 0.95\n Max Deflection: 2.61e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 162.70676538870316, "fos_buckling": 0.9518999426383978, "fos_yielding": 2.532018834008883, "deflection": 0.002613411340954761, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.318)" }, "parent_node_id": "node_2674", "improvement_over_parent": null }, "node_2676": { "node_id": "node_2676", "content": "MODIFICATION: Increase 4 thickness by 64%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0028)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0046)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n\nPerformance:\n Mass: 164.90 kg\n Factor of Safety: 1.11\n Max Deflection: 2.49e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 164.89669598968845, "fos_buckling": 1.110517708279953, "fos_yielding": 3.4346583426704633, "deflection": 0.002494954962214971, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.645)" }, "parent_node_id": "node_2675", "improvement_over_parent": null }, "node_2677": { "node_id": "node_2677", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0058)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n\nPerformance:\n Mass: 204.32 kg\n Factor of Safety: 1.33\n Max Deflection: 2.02e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 204.31505325347064, "fos_buckling": 1.3267634907122974, "fos_yielding": 4.248156086461264, "deflection": 0.0020180255841844123, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.263)" }, "parent_node_id": "node_2676", "improvement_over_parent": null }, "node_2678": { "node_id": "node_2678", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2677", "improvement_over_parent": null }, "node_2679": { "node_id": "node_2679", "content": "INITIAL DESIGN (Trace 380)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0021)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nPerformance:\n Mass: 156.91 kg\n Factor of Safety: 1.06\n Max Deflection: 2.69e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 156.9083355985946, "fos_buckling": 1.063098178270426, "fos_yielding": 3.4108386433032125, "deflection": 0.002688610366128296, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2680": { "node_id": "node_2680", "content": "MODIFICATION: Increase 11 thickness by 61%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nPerformance:\n Mass: 162.52 kg\n Factor of Safety: 1.06\n Max Deflection: 2.63e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 162.52023079807023, "fos_buckling": 1.0618936641809664, "fos_yielding": 3.4298946887872526, "deflection": 0.0026274409044902253, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.613)" }, "parent_node_id": "node_2679", "improvement_over_parent": null }, "node_2681": { "node_id": "node_2681", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n\nPerformance:\n Mass: 164.79 kg\n Factor of Safety: 1.29\n Max Deflection: 2.48e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 164.79360945499846, "fos_buckling": 1.2935863407340977, "fos_yielding": 3.4443272726196628, "deflection": 0.00247761048332198, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.001761)" }, "parent_node_id": "node_2680", "improvement_over_parent": null }, "node_2682": { "node_id": "node_2682", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n\nPerformance:\n Mass: 203.97 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.96613417271894, "fos_buckling": 1.5438421618373832, "fos_yielding": 4.253045333679663, "deflection": 0.002006705272003907, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.261)" }, "parent_node_id": "node_2681", "improvement_over_parent": null }, "node_2683": { "node_id": "node_2683", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2682", "improvement_over_parent": null }, "node_2684": { "node_id": "node_2684", "content": "INITIAL DESIGN (Trace 381)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0019)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0023)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0038)]\n\nPerformance:\n Mass: 116.11 kg\n Factor of Safety: 0.25\n Max Deflection: 4.87e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 116.10931077877721, "fos_buckling": 0.253941218101835, "fos_yielding": 1.7957568643135295, "deflection": 0.004873995911993177, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2685": { "node_id": "node_2685", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0042)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0045)]\n\nPerformance:\n Mass: 135.63 kg\n Factor of Safety: 0.29\n Max Deflection: 4.18e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 135.63337470518874, "fos_buckling": 0.28991045273423866, "fos_yielding": 2.09261478694654, "deflection": 0.004179956891164307, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.181)" }, "parent_node_id": "node_2684", "improvement_over_parent": null }, "node_2686": { "node_id": "node_2686", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0042)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0045)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0038)]\n\nPerformance:\n Mass: 153.93 kg\n Factor of Safety: 1.08\n Max Deflection: 2.71e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 153.92715394501957, "fos_buckling": 1.0843802704595336, "fos_yielding": 2.8955555834348585, "deflection": 0.0027098134420589933, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.003814)" }, "parent_node_id": "node_2685", "improvement_over_parent": null }, "node_2687": { "node_id": "node_2687", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n\nPerformance:\n Mass: 186.89 kg\n Factor of Safety: 1.27\n Max Deflection: 2.24e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 186.89089178113838, "fos_buckling": 1.2731975582217392, "fos_yielding": 3.5079081006803103, "deflection": 0.0022357699619731477, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.235)" }, "parent_node_id": "node_2686", "improvement_over_parent": null }, "node_2688": { "node_id": "node_2688", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 202.34 kg\n Factor of Safety: 1.54\n Max Deflection: 2.07e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 202.34179629487917, "fos_buckling": 1.5405917837111882, "fos_yielding": 3.4502117031227613, "deflection": 0.0020696569097173566, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003928)" }, "parent_node_id": "node_2687", "improvement_over_parent": null }, "node_2689": { "node_id": "node_2689", "content": "MODIFICATION: Increase 1 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 204.08 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.07913237741306, "fos_buckling": 1.5446374862340175, "fos_yielding": 4.255778151304866, "deflection": 0.0020053679422460395, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.318)" }, "parent_node_id": "node_2688", "improvement_over_parent": null }, "node_2690": { "node_id": "node_2690", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2689", "improvement_over_parent": null }, "node_2691": { "node_id": "node_2691", "content": "INITIAL DESIGN (Trace 382)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0022)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n\nPerformance:\n Mass: 123.84 kg\n Factor of Safety: 0.31\n Max Deflection: 1.04e+13 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 123.84098649530249, "fos_buckling": 0.31459901138211593, "fos_yielding": 1.1594993066474268, "deflection": 10411677959436.314, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2692": { "node_id": "node_2692", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 153.56 kg\n Factor of Safety: 0.87\n Max Deflection: 3.70e+12 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 153.5618465102797, "fos_buckling": 0.8671982658510414, "fos_yielding": 3.882759539915423, "deflection": 3698731913784.953, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.263)" }, "parent_node_id": "node_2691", "improvement_over_parent": null }, "node_2693": { "node_id": "node_2693", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n\nPerformance:\n Mass: 157.39 kg\n Factor of Safety: 0.32\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": 157.39425527699848, "fos_buckling": 0.3172418963491728, "fos_yielding": 1.739548699659583, "deflection": 0.0062655456966745, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002592)" }, "parent_node_id": "node_2692", "improvement_over_parent": null }, "node_2694": { "node_id": "node_2694", "content": "MODIFICATION: Increase 8 thickness by 47%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0050)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n\nPerformance:\n Mass: 161.32 kg\n Factor of Safety: 0.32\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": 161.3184323495798, "fos_buckling": 0.31808574028785963, "fos_yielding": 1.7395486996595826, "deflection": 0.005913427485150412, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.473)" }, "parent_node_id": "node_2693", "improvement_over_parent": null }, "node_2695": { "node_id": "node_2695", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0050)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n\nPerformance:\n Mass: 172.64 kg\n Factor of Safety: 0.32\n Max Deflection: 5.72e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 172.64307435168666, "fos_buckling": 0.31796343757908735, "fos_yielding": 1.7388798500663343, "deflection": 0.005720653532544846, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.003363)" }, "parent_node_id": "node_2694", "improvement_over_parent": null }, "node_2696": { "node_id": "node_2696", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0050)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n\nPerformance:\n Mass: 203.95 kg\n Factor of Safety: 1.33\n Max Deflection: 2.04e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 203.9526246966155, "fos_buckling": 1.334387817869646, "fos_yielding": 4.21322149818153, "deflection": 0.002040511455941134, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.005592)" }, "parent_node_id": "node_2695", "improvement_over_parent": null }, "node_2697": { "node_id": "node_2697", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2696", "improvement_over_parent": null }, "node_2698": { "node_id": "node_2698", "content": "INITIAL DESIGN (Trace 383)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0013)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0015)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0019)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0019)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0020)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0019)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0025)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0022)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0022)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0032)]\n\nPerformance:\n Mass: 112.55 kg\n Factor of Safety: 0.30\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": 112.55326154587681, "fos_buckling": 0.3002606361675095, "fos_yielding": 1.3737132955540992, "deflection": 0.008820501708313267, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2699": { "node_id": "node_2699", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0017)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0024)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0022)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0026)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0037)]\n\nPerformance:\n Mass: 131.76 kg\n Factor of Safety: 0.35\n Max Deflection: 7.55e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 131.76293729663195, "fos_buckling": 0.3451183103171855, "fos_yielding": 1.6053801831090777, "deflection": 0.007548868012250958, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.181)" }, "parent_node_id": "node_2698", "improvement_over_parent": null }, "node_2700": { "node_id": "node_2700", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0017)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0024)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0022)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0026)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0037)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0024)]\n\nPerformance:\n Mass: 136.73 kg\n Factor of Safety: 0.98\n Max Deflection: 2.97e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 136.72911342447418, "fos_buckling": 0.9793005369282771, "fos_yielding": 2.9365968085835106, "deflection": 0.0029662732579326715, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.002373)" }, "parent_node_id": "node_2699", "improvement_over_parent": null }, "node_2701": { "node_id": "node_2701", "content": "MODIFICATION: Increase 10 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0017)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0024)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0026)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0037)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0024)]\n\nPerformance:\n Mass: 138.93 kg\n Factor of Safety: 0.92\n Max Deflection: 2.95e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 138.9348071730441, "fos_buckling": 0.9224791935702971, "fos_yielding": 2.9375885431341606, "deflection": 0.0029473360011087442, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.307)" }, "parent_node_id": "node_2700", "improvement_over_parent": null }, "node_2702": { "node_id": "node_2702", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0042)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0030)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0036)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0046)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n\nPerformance:\n Mass: 168.82 kg\n Factor of Safety: 1.09\n Max Deflection: 2.43e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 168.8235064769134, "fos_buckling": 1.0913301825971888, "fos_yielding": 3.563170316230592, "deflection": 0.0024296911155060395, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.232)" }, "parent_node_id": "node_2701", "improvement_over_parent": null }, "node_2703": { "node_id": "node_2703", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0044)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n\nPerformance:\n Mass: 202.32 kg\n Factor of Safety: 1.27\n Max Deflection: 2.03e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 202.32168652466694, "fos_buckling": 1.2685713082927448, "fos_yielding": 4.261656232529245, "deflection": 0.0020312695286190457, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.218)" }, "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "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 384)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0036)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0033)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0023)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0027)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0039)]\n\nPerformance:\n Mass: 126.75 kg\n Factor of Safety: 1.38\n Max Deflection: 2.42e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 126.7530513801979, "fos_buckling": 1.3788640190552748, "fos_yielding": 3.6263800544724853, "deflection": 2418626188240.8096, "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 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0036)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0033)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0023)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0027)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0039)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0025)]\n\nPerformance:\n Mass: 131.91 kg\n Factor of Safety: 0.74\n Max Deflection: 3.51e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 131.9137204194378, "fos_buckling": 0.7439147505302335, "fos_yielding": 2.347227194100365, "deflection": 0.003508528211444588, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.002472)" }, "parent_node_id": "node_2705", "improvement_over_parent": null }, "node_2707": { "node_id": "node_2707", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0048)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n\nPerformance:\n Mass: 159.84 kg\n Factor of Safety: 0.88\n Max Deflection: 2.90e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 159.8416276848755, "fos_buckling": 0.8786597145054275, "fos_yielding": 2.8394606868889922, "deflection": 0.002899183444393272, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.229)" }, "parent_node_id": "node_2706", "improvement_over_parent": null }, "node_2708": { "node_id": "node_2708", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n\nPerformance:\n Mass: 184.87 kg\n Factor of Safety: 0.99\n Max Deflection: 2.51e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 184.867376810246, "fos_buckling": 0.9926176096232013, "fos_yielding": 3.2791618051275604, "deflection": 0.002509563209992615, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.172)" }, "parent_node_id": "node_2707", "improvement_over_parent": null }, "node_2709": { "node_id": "node_2709", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n\nPerformance:\n Mass: 203.97 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.9710961330394, "fos_buckling": 1.5439471786634427, "fos_yielding": 4.253406439377257, "deflection": 0.0020066229148078736, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.004368)" }, "parent_node_id": "node_2708", "improvement_over_parent": null }, "node_2710": { "node_id": "node_2710", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2709", "improvement_over_parent": null }, "node_2711": { "node_id": "node_2711", "content": "INITIAL DESIGN (Trace 385)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0019)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0041)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0039)]\n\nPerformance:\n Mass: 159.60 kg\n Factor of Safety: 1.10\n Max Deflection: 2.63e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 159.59821111581923, "fos_buckling": 1.101509575273832, "fos_yielding": 3.332127124064392, "deflection": 0.002628222941137422, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2712": { "node_id": "node_2712", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0019)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0041)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0039)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n\nPerformance:\n Mass: 169.48 kg\n Factor of Safety: 1.08\n Max Deflection: 2.49e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 169.4765230625394, "fos_buckling": 1.0826505619238023, "fos_yielding": 3.437594377598366, "deflection": 0.0024865031557959054, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.002897)" }, "parent_node_id": "node_2711", "improvement_over_parent": null }, "node_2713": { "node_id": "node_2713", "content": "MODIFICATION: Increase 4 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0019)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0041)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0039)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n\nPerformance:\n Mass: 170.53 kg\n Factor of Safety: 1.09\n Max Deflection: 2.45e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 170.5300682220733, "fos_buckling": 1.090185280337054, "fos_yielding": 3.74058821163688, "deflection": 0.002446498266575732, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.217)" }, "parent_node_id": "node_2712", "improvement_over_parent": null }, "node_2714": { "node_id": "node_2714", "content": "MODIFICATION: Increase 15 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0019)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0041)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0039)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0035)]\n\nPerformance:\n Mass: 172.52 kg\n Factor of Safety: 1.09\n Max Deflection: 2.44e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 172.5158012343906, "fos_buckling": 1.0889395330364533, "fos_yielding": 3.741244569493315, "deflection": 0.0024379004276568602, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(15, thickness, 1.222)" }, "parent_node_id": "node_2713", "improvement_over_parent": null }, "node_2715": { "node_id": "node_2715", "content": "MODIFICATION: Increase 9 thickness by 52%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0041)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0039)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0035)]\n\nPerformance:\n Mass: 175.23 kg\n Factor of Safety: 1.21\n Max Deflection: 2.41e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 175.2270094870594, "fos_buckling": 1.211498113422706, "fos_yielding": 3.7878070191786612, "deflection": 0.002412883989836671, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.520)" }, "parent_node_id": "node_2714", "improvement_over_parent": null }, "node_2716": { "node_id": "node_2716", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0046)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0041)]\n\nPerformance:\n Mass: 200.93 kg\n Factor of Safety: 1.36\n Max Deflection: 2.11e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 200.92695843246779, "fos_buckling": 1.3638826213044881, "fos_yielding": 4.3353591590666785, "deflection": 0.0021064581518560766, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.161)" }, "parent_node_id": "node_2715", "improvement_over_parent": null }, "node_2717": { "node_id": "node_2717", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2716", "improvement_over_parent": null }, "node_2718": { "node_id": "node_2718", "content": "INITIAL DESIGN (Trace 386)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0022)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0023)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0026)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0037)]\n\nPerformance:\n Mass: 132.93 kg\n Factor of Safety: 0.87\n Max Deflection: 3.02e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 132.92777026867233, "fos_buckling": 0.8694932302100195, "fos_yielding": 2.4382615486055426, "deflection": 0.003023055459307796, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2719": { "node_id": "node_2719", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0026)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nPerformance:\n Mass: 153.79 kg\n Factor of Safety: 0.99\n Max Deflection: 2.62e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 153.7896702254061, "fos_buckling": 0.9933877230487953, "fos_yielding": 2.82468414263856, "deflection": 0.002616599072577115, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.168)" }, "parent_node_id": "node_2718", "improvement_over_parent": null }, "node_2720": { "node_id": "node_2720", "content": "MODIFICATION: Increase 6 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0026)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nPerformance:\n Mass: 157.74 kg\n Factor of Safety: 1.06\n Max Deflection: 2.57e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 157.73920136818387, "fos_buckling": 1.0579136854108255, "fos_yielding": 3.4078689791644914, "deflection": 0.0025748629739137945, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.319)" }, "parent_node_id": "node_2719", "improvement_over_parent": null }, "node_2721": { "node_id": "node_2721", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0033)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 197.64 kg\n Factor of Safety: 1.29\n Max Deflection: 2.06e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 197.63688441834287, "fos_buckling": 1.2915932491474507, "fos_yielding": 4.257238337958221, "deflection": 0.002060299710029668, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.277)" }, "parent_node_id": "node_2720", "improvement_over_parent": null }, "node_2722": { "node_id": "node_2722", "content": "MODIFICATION: Increase 10 thickness by 43%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.90 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.89628814573535, "fos_buckling": 1.5434986800051111, "fos_yielding": 4.2518928218739935, "deflection": 0.0020073382275002227, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.431)" }, "parent_node_id": "node_2721", "improvement_over_parent": null }, "node_2723": { "node_id": "node_2723", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2722", "improvement_over_parent": null }, "node_2724": { "node_id": "node_2724", "content": "INITIAL DESIGN (Trace 387)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0046)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0042)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0050)]\n\nPerformance:\n Mass: 137.61 kg\n Factor of Safety: 0.53\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": 137.60797312123265, "fos_buckling": 0.5261560691845498, "fos_yielding": 0.6729774721575787, "deflection": 13736156262637.943, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2725": { "node_id": "node_2725", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 152.54 kg\n Factor of Safety: 0.18\n Max Deflection: 6.70e+12 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 152.53998774932546, "fos_buckling": 0.1807276494372944, "fos_yielding": 1.3459549443151573, "deflection": 6704177084935.892, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.119)" }, "parent_node_id": "node_2724", "improvement_over_parent": null }, "node_2726": { "node_id": "node_2726", "content": "MODIFICATION: Increase 0 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 153.60 kg\n Factor of Safety: 0.05\n Max Deflection: 1.29e+13 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 153.6028227871996, "fos_buckling": 0.0451819123593236, "fos_yielding": 0.3364887360787893, "deflection": 12905124851930.479, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.263)" }, "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n\nPerformance:\n Mass: 169.18 kg\n Factor of Safety: 0.17\n Max Deflection: 1.27e-02 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 169.18415941965216, "fos_buckling": 0.17079967982643435, "fos_yielding": 1.2720171720575477, "deflection": 0.012686521386295974, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.003945)" }, "parent_node_id": "node_2726", "improvement_over_parent": null }, "node_2728": { "node_id": "node_2728", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n\nPerformance:\n Mass: 178.83 kg\n Factor of Safety: 0.47\n Max Deflection: 5.92e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 178.82592434193518, "fos_buckling": 0.47435195943249153, "fos_yielding": 2.3283806938638825, "deflection": 0.005923561904893332, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.003423)" }, "parent_node_id": "node_2727", "improvement_over_parent": null }, "node_2729": { "node_id": "node_2729", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 194.28 kg\n Factor of Safety: 0.47\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": 194.27682885567597, "fos_buckling": 0.473855068157354, "fos_yielding": 2.3259502106318664, "deflection": 0.005214392128919087, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003928)" }, "parent_node_id": "node_2728", "improvement_over_parent": null }, "node_2730": { "node_id": "node_2730", "content": "MODIFICATION: Increase 7 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0043)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 196.44 kg\n Factor of Safety: 0.47\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": 196.44057971928692, "fos_buckling": 0.4738550681573538, "fos_yielding": 2.325950210631867, "deflection": 0.005194755846115723, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.255)" }, "parent_node_id": "node_2729", "improvement_over_parent": null }, "node_2731": { "node_id": "node_2731", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0043)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n\nPerformance:\n Mass: 203.67 kg\n Factor of Safety: 1.46\n Max Deflection: 2.02e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 203.67172550749532, "fos_buckling": 1.4593237051018364, "fos_yielding": 4.235961652409962, "deflection": 0.002024396060350246, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.003560)" }, "parent_node_id": "node_2730", "improvement_over_parent": null }, "node_2732": { "node_id": "node_2732", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2731", "improvement_over_parent": null }, "node_2733": { "node_id": "node_2733", "content": "INITIAL DESIGN (Trace 388)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0016)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0019)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0012)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0013)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0027)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0018)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0018)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0024)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0023)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0029)]\n\nPerformance:\n Mass: 92.18 kg\n Factor of Safety: 0.28\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": 92.17809532992081, "fos_buckling": 0.279812427205778, "fos_yielding": 1.1430768382960508, "deflection": 0.011955994050378792, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2734": { "node_id": "node_2734", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0016)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0019)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0012)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0013)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0027)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0018)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0018)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0024)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0023)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0029)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0019)]\n\nPerformance:\n Mass: 96.10 kg\n Factor of Safety: 0.75\n Max Deflection: 4.20e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 96.10195088399585, "fos_buckling": 0.7512466587371817, "fos_yielding": 1.911791778339361, "deflection": 0.00419544512438675, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.001851)" }, "parent_node_id": "node_2733", "improvement_over_parent": null }, "node_2735": { "node_id": "node_2735", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0016)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0019)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0012)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0013)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0027)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0018)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0018)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0024)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0023)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0029)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0019)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0020)]\n\nPerformance:\n Mass: 104.48 kg\n Factor of Safety: 0.75\n Max Deflection: 3.90e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 104.48478905154087, "fos_buckling": 0.75105977840805, "fos_yielding": 2.310518972145951, "deflection": 0.003898104093170425, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.002042)" }, "parent_node_id": "node_2734", "improvement_over_parent": null }, "node_2736": { "node_id": "node_2736", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0016)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0019)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0012)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0013)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0027)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0018)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0018)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0024)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0023)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0029)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0019)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0020)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0017)]\n\nPerformance:\n Mass: 110.63 kg\n Factor of Safety: 0.91\n Max Deflection: 3.68e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 110.62801932741615, "fos_buckling": 0.9115991920716017, "fos_yielding": 2.31986102071037, "deflection": 0.0036780281012367168, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.001748)" }, "parent_node_id": "node_2735", "improvement_over_parent": null }, "node_2737": { "node_id": "node_2737", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0017)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0031)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0037)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0024)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0026)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0022)]\n\nPerformance:\n Mass: 138.99 kg\n Factor of Safety: 1.12\n Max Deflection: 2.93e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 138.98587724483775, "fos_buckling": 1.1168334295019742, "fos_yielding": 2.909542590227548, "deflection": 0.0029328229646998173, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.272)" }, "parent_node_id": "node_2736", "improvement_over_parent": null }, "node_2738": { "node_id": "node_2738", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0042)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0046)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n\nPerformance:\n Mass: 169.80 kg\n Factor of Safety: 1.33\n Max Deflection: 2.41e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 169.80369228581574, "fos_buckling": 1.3268459333504052, "fos_yielding": 3.548096304965615, "deflection": 0.0024052017438697527, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.239)" }, "parent_node_id": "node_2737", "improvement_over_parent": null }, "node_2739": { "node_id": "node_2739", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n\nPerformance:\n Mass: 203.97 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.9732557811333, "fos_buckling": 1.5439281425706146, "fos_yielding": 4.253337404990451, "deflection": 0.0020065834156686156, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.221)" }, "parent_node_id": "node_2738", "improvement_over_parent": null }, "node_2740": { "node_id": "node_2740", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2739", "improvement_over_parent": null }, "node_2741": { "node_id": "node_2741", "content": "INITIAL DESIGN (Trace 389)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 165.52 kg\n Factor of Safety: 0.35\n Max Deflection: 3.10e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 165.51782487295475, "fos_buckling": 0.3455547596264795, "fos_yielding": 2.573242048213299, "deflection": 0.003095773957205821, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2742": { "node_id": "node_2742", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0029)]\n\nPerformance:\n Mass: 177.36 kg\n Factor of Safety: 0.48\n Max Deflection: 2.88e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 177.36183670677522, "fos_buckling": 0.48050684785630826, "fos_yielding": 3.083087747981343, "deflection": 0.002882163132358998, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.002944)" }, "parent_node_id": "node_2741", "improvement_over_parent": null }, "node_2743": { "node_id": "node_2743", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0029)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 190.69 kg\n Factor of Safety: 0.89\n Max Deflection: 2.11e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 190.68537077842046, "fos_buckling": 0.8891643953890874, "fos_yielding": 4.03407870577445, "deflection": 0.0021127152156447935, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.004024)" }, "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0029)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n\nPerformance:\n Mass: 200.33 kg\n Factor of Safety: 1.52\n Max Deflection: 2.02e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 200.32713570070348, "fos_buckling": 1.516696120153372, "fos_yielding": 4.178180704320043, "deflection": 0.0020210883430517522, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.003423)" }, "parent_node_id": "node_2743", "improvement_over_parent": null }, "node_2745": { "node_id": "node_2745", "content": "MODIFICATION: Increase 14 thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0029)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0054)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n\nPerformance:\n Mass: 204.23 kg\n Factor of Safety: 1.54\n Max Deflection: 2.00e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.2261721184708, "fos_buckling": 1.5353794751407117, "fos_yielding": 4.229649441045086, "deflection": 0.0019958212283753747, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.333)" }, "parent_node_id": "node_2744", "improvement_over_parent": null }, "node_2746": { "node_id": "node_2746", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2745", "improvement_over_parent": null }, "node_2747": { "node_id": "node_2747", "content": "INITIAL DESIGN (Trace 390)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, 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_2748": { "node_id": "node_2748", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n\nPerformance:\n Mass: 152.74 kg\n Factor of Safety: 0.84\n Max Deflection: 2.84e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 152.7418157881094, "fos_buckling": 0.8379712141935, "fos_yielding": 2.845494117622101, "deflection": 0.002837199156493585, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003124)" }, "parent_node_id": "node_2747", "improvement_over_parent": null }, "node_2749": { "node_id": "node_2749", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n\nPerformance:\n Mass: 155.85 kg\n Factor of Safety: 0.78\n Max Deflection: 2.66e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 155.84587306326935, "fos_buckling": 0.7755181824066691, "fos_yielding": 3.117712988114178, "deflection": 0.002658808028049214, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002061)" }, "parent_node_id": "node_2748", "improvement_over_parent": null }, "node_2750": { "node_id": "node_2750", "content": "MODIFICATION: Increase 1 thickness by 35%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n\nPerformance:\n Mass: 157.39 kg\n Factor of Safety: 0.74\n Max Deflection: 2.59e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 157.39223553234908, "fos_buckling": 0.7431357156800785, "fos_yielding": 3.281727636130248, "deflection": 0.0025876160897565998, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.353)" }, "parent_node_id": "node_2749", "improvement_over_parent": null }, "node_2751": { "node_id": "node_2751", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n\nPerformance:\n Mass: 194.37 kg\n Factor of Safety: 0.88\n Max Deflection: 2.10e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 194.37365226154301, "fos_buckling": 0.8840189076810244, "fos_yielding": 4.040527927396671, "deflection": 0.0020999929660612646, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.258)" }, "parent_node_id": "node_2750", "improvement_over_parent": null }, "node_2752": { "node_id": "node_2752", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n\nPerformance:\n Mass: 204.02 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.01541718382603, "fos_buckling": 1.544232043177304, "fos_yielding": 4.254374008881502, "deflection": 0.002006223289797986, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.003423)" }, "parent_node_id": "node_2751", "improvement_over_parent": null }, "node_2753": { "node_id": "node_2753", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2752", "improvement_over_parent": null }, "node_2754": { "node_id": "node_2754", "content": "INITIAL DESIGN (Trace 391)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0011)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0013)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0008)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0012)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0018)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0012)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0012)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0016)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0012)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0015)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0014)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0014)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0019)]\n\nPerformance:\n Mass: 73.78 kg\n Factor of Safety: 0.53\n Max Deflection: 5.86e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 73.78339124441057, "fos_buckling": 0.5262492390791021, "fos_yielding": 1.301544406087742, "deflection": 0.005862046653236604, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2755": { "node_id": "node_2755", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0014)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0017)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0010)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0016)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0024)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0016)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0016)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0022)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0015)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0020)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0018)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0018)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0026)]\n\nPerformance:\n Mass: 96.39 kg\n Factor of Safety: 0.67\n Max Deflection: 4.49e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 96.39282087768913, "fos_buckling": 0.6739632309449362, "fos_yielding": 1.6979376540285458, "deflection": 0.004493606388102156, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.319)" }, "parent_node_id": "node_2754", "improvement_over_parent": null }, "node_2756": { "node_id": "node_2756", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0014)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0017)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0010)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0016)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0024)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0016)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0016)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0022)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0015)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0020)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0018)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0018)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0026)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0012)]\n\nPerformance:\n Mass: 98.24 kg\n Factor of Safety: 0.82\n Max Deflection: 4.14e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 98.23882833900366, "fos_buckling": 0.8183220181514402, "fos_yielding": 2.061625477389703, "deflection": 0.00413867711409972, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.001190)" }, "parent_node_id": "node_2755", "improvement_over_parent": null }, "node_2757": { "node_id": "node_2757", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0017)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0020)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0012)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0019)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0028)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0019)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0022)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0019)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0026)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0018)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0024)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0021)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0030)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0014)]\n\nPerformance:\n Mass: 115.37 kg\n Factor of Safety: 0.95\n Max Deflection: 3.53e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 115.3704183293277, "fos_buckling": 0.9467331626991266, "fos_yielding": 2.4186432087863032, "deflection": 0.00352792839057295, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.183)" }, "parent_node_id": "node_2756", "improvement_over_parent": null }, "node_2758": { "node_id": "node_2758", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0024)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0032)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0023)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0026)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0038)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0017)]\n\nPerformance:\n Mass: 141.32 kg\n Factor of Safety: 1.13\n Max Deflection: 2.88e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 141.32425584312688, "fos_buckling": 1.1332540567866316, "fos_yielding": 2.9581099904295116, "deflection": 0.0028847477785591542, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.239)" }, "parent_node_id": "node_2757", "improvement_over_parent": null }, "node_2759": { "node_id": "node_2759", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0025)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0042)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n\nPerformance:\n Mass: 157.42 kg\n Factor of Safety: 1.24\n Max Deflection: 2.59e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 157.41644823703183, "fos_buckling": 1.2440686077649634, "fos_yielding": 3.291749668447078, "deflection": 0.002592473270630267, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.122)" }, "parent_node_id": "node_2758", "improvement_over_parent": null }, "node_2760": { "node_id": "node_2760", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n\nPerformance:\n Mass: 204.02 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.02491269311994, "fos_buckling": 1.544256611081884, "fos_yielding": 4.254446454520455, "deflection": 0.002006100190163478, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.325)" }, "parent_node_id": "node_2759", "improvement_over_parent": null }, "node_2761": { "node_id": "node_2761", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2760", "improvement_over_parent": null }, "node_2762": { "node_id": "node_2762", "content": "INITIAL DESIGN (Trace 392)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0012)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0032)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0023)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0026)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0028)]\n\nPerformance:\n Mass: 134.77 kg\n Factor of Safety: 0.83\n Max Deflection: 3.15e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 134.77046264066934, "fos_buckling": 0.83357224429617, "fos_yielding": 3.0072586243025046, "deflection": 0.0031486722901490293, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2763": { "node_id": "node_2763", "content": "MODIFICATION: Increase 15 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0012)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0032)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0023)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0026)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0037)]\n\nPerformance:\n Mass: 139.83 kg\n Factor of Safety: 1.01\n Max Deflection: 2.91e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 139.83317747054795, "fos_buckling": 1.0050381851245798, "fos_yielding": 2.910579076634398, "deflection": 0.002911425829051362, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(15, thickness, 1.325)" }, "parent_node_id": "node_2762", "improvement_over_parent": null }, "node_2764": { "node_id": "node_2764", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0032)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0045)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0042)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0035)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0050)]\n\nPerformance:\n Mass: 181.48 kg\n Factor of Safety: 1.27\n Max Deflection: 2.25e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 181.48399395233218, "fos_buckling": 1.2749238932826863, "fos_yielding": 3.7685985561553097, "deflection": 0.0022491285811426067, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.323)" }, "parent_node_id": "node_2763", "improvement_over_parent": null }, "node_2765": { "node_id": "node_2765", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 202.96 kg\n Factor of Safety: 1.41\n Max Deflection: 2.01e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 202.96176160499607, "fos_buckling": 1.4087804237491925, "fos_yielding": 4.209480974339169, "deflection": 0.00201383315759028, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.130)" }, "parent_node_id": "node_2764", "improvement_over_parent": null }, "node_2766": { "node_id": "node_2766", "content": "MODIFICATION: Increase 5 thickness by 45%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 204.08 kg\n Factor of Safety: 1.55\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.08244483846602, "fos_buckling": 1.5453525952458982, "fos_yielding": 4.254497075484441, "deflection": 0.0020053301307441963, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.453)" }, "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "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 393)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nPerformance:\n Mass: 161.41 kg\n Factor of Safety: 1.18\n Max Deflection: 2.53e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 161.41152724450677, "fos_buckling": 1.18299497902385, "fos_yielding": 3.4470498508918452, "deflection": 0.0025268266255380847, "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 12 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nPerformance:\n Mass: 164.13 kg\n Factor of Safety: 1.24\n Max Deflection: 2.50e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 164.12999511112886, "fos_buckling": 1.2414118118928914, "fos_yielding": 3.4558380668598585, "deflection": 0.0024959478611392624, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.229)" }, "parent_node_id": "node_2768", "improvement_over_parent": null }, "node_2770": { "node_id": "node_2770", "content": "MODIFICATION: Increase 0 thickness by 37%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nPerformance:\n Mass: 165.27 kg\n Factor of Safety: 1.30\n Max Deflection: 2.47e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 165.27051525095771, "fos_buckling": 1.2967850592424086, "fos_yielding": 3.454264045789463, "deflection": 0.002470507723991914, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.370)" }, "parent_node_id": "node_2769", "improvement_over_parent": null }, "node_2771": { "node_id": "node_2771", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.81 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.80622206047107, "fos_buckling": 1.5428879458033973, "fos_yielding": 4.249834046258428, "deflection": 0.002008237544207439, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.256)" }, "parent_node_id": "node_2770", "improvement_over_parent": null }, "node_2772": { "node_id": "node_2772", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2771", "improvement_over_parent": null }, "node_2773": { "node_id": "node_2773", "content": "INITIAL DESIGN (Trace 394)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0032)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0029)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0021)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0017)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0024)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0035)]\n\nPerformance:\n Mass: 119.20 kg\n Factor of Safety: 0.59\n Max Deflection: 3.58e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 119.20128355638468, "fos_buckling": 0.5889778749641054, "fos_yielding": 2.25646512981916, "deflection": 0.003575563969381786, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2774": { "node_id": "node_2774", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0032)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0029)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0021)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0017)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0024)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0035)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0017)]\n\nPerformance:\n Mass: 124.17 kg\n Factor of Safety: 0.87\n Max Deflection: 3.44e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 124.17224154739891, "fos_buckling": 0.8718356770452867, "fos_yielding": 2.255701544619047, "deflection": 0.0034373577835512107, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.001687)" }, "parent_node_id": "node_2773", "improvement_over_parent": null }, "node_2775": { "node_id": "node_2775", "content": "MODIFICATION: Increase 6 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0032)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0029)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0021)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0017)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0024)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0035)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0017)]\n\nPerformance:\n Mass: 126.22 kg\n Factor of Safety: 0.87\n Max Deflection: 3.43e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 126.22461701866506, "fos_buckling": 0.871592126619902, "fos_yielding": 2.2550714062968873, "deflection": 0.003427502377514506, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.258)" }, "parent_node_id": "node_2774", "improvement_over_parent": null }, "node_2776": { "node_id": "node_2776", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0039)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n\nPerformance:\n Mass: 154.94 kg\n Factor of Safety: 1.04\n Max Deflection: 2.80e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 154.9433032500614, "fos_buckling": 1.0415370390257654, "fos_yielding": 2.7630043856419926, "deflection": 0.002796982547258778, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.244)" }, "parent_node_id": "node_2775", "improvement_over_parent": null }, "node_2777": { "node_id": "node_2777", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0051)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n\nPerformance:\n Mass: 196.88 kg\n Factor of Safety: 1.27\n Max Deflection: 2.21e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 196.87624444000835, "fos_buckling": 1.2710381078936346, "fos_yielding": 3.5012620673673847, "deflection": 0.0022066978713590024, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.297)" }, "parent_node_id": "node_2776", "improvement_over_parent": null }, "node_2778": { "node_id": "node_2778", "content": "MODIFICATION: Increase 12 thickness by 43%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0051)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0056)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n\nPerformance:\n Mass: 202.64 kg\n Factor of Safety: 1.27\n Max Deflection: 2.21e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 202.64248371785175, "fos_buckling": 1.2705417375343717, "fos_yielding": 3.4998947419508912, "deflection": 0.002207441212358343, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.429)" }, "parent_node_id": "node_2777", "improvement_over_parent": null }, "node_2779": { "node_id": "node_2779", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0051)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0056)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n\nPerformance:\n Mass: 206.47 kg\n Factor of Safety: 1.48\n Max Deflection: 2.00e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 206.47489248457052, "fos_buckling": 1.4816107225655526, "fos_yielding": 4.322129819217365, "deflection": 0.00199823311694588, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002592)" }, "parent_node_id": "node_2778", "improvement_over_parent": null }, "node_2780": { "node_id": "node_2780", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2779", "improvement_over_parent": null }, "node_2781": { "node_id": "node_2781", "content": "INITIAL DESIGN (Trace 395)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0014)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0047)]\n\nPerformance:\n Mass: 153.55 kg\n Factor of Safety: 0.43\n Max Deflection: 3.35e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 153.54806818716946, "fos_buckling": 0.42533801948063427, "fos_yielding": 2.653752166881274, "deflection": 0.003345041667056424, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2782": { "node_id": "node_2782", "content": "MODIFICATION: Increase 0 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0016)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0047)]\n\nPerformance:\n Mass: 153.99 kg\n Factor of Safety: 0.43\n Max Deflection: 3.34e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 153.98712278611333, "fos_buckling": 0.42696133307731804, "fos_yielding": 2.6504994207941475, "deflection": 0.003342662403261215, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.179)" }, "parent_node_id": "node_2781", "improvement_over_parent": null }, "node_2783": { "node_id": "node_2783", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 178.96 kg\n Factor of Safety: 0.48\n Max Deflection: 2.88e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 178.95848410301898, "fos_buckling": 0.4834576904412712, "fos_yielding": 3.0770601517555374, "deflection": 0.002879214008827115, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.178)" }, "parent_node_id": "node_2782", "improvement_over_parent": null }, "node_2784": { "node_id": "node_2784", "content": "MODIFICATION: Increase 0 thickness by 62%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 180.93 kg\n Factor of Safety: 0.49\n Max Deflection: 2.87e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 180.9337978815434, "fos_buckling": 0.4874117264831663, "fos_yielding": 3.0687785817331976, "deflection": 0.002874923410691352, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.616)" }, "parent_node_id": "node_2783", "improvement_over_parent": null }, "node_2785": { "node_id": "node_2785", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n\nPerformance:\n Mass: 190.58 kg\n Factor of Safety: 0.98\n Max Deflection: 2.44e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 190.57556280382641, "fos_buckling": 0.9830540038162863, "fos_yielding": 3.480274232940404, "deflection": 0.002435473672489812, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.003423)" }, "parent_node_id": "node_2784", "improvement_over_parent": null }, "node_2786": { "node_id": "node_2786", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 203.90 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.89909687547166, "fos_buckling": 1.5435012729342303, "fos_yielding": 4.251886371026415, "deflection": 0.002007341443778637, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.004024)" }, "parent_node_id": "node_2785", "improvement_over_parent": null }, "node_2787": { "node_id": "node_2787", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2786", "improvement_over_parent": null }, "node_2788": { "node_id": "node_2788", "content": "INITIAL DESIGN (Trace 396)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0041)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0049)]\n\nPerformance:\n Mass: 136.32 kg\n Factor of Safety: 0.74\n Max Deflection: 3.04e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 136.32297932433593, "fos_buckling": 0.7419123907642844, "fos_yielding": 3.065697379237116, "deflection": 0.0030374027315612047, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2789": { "node_id": "node_2789", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 153.54 kg\n Factor of Safety: 0.82\n Max Deflection: 2.70e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 153.53628332817658, "fos_buckling": 0.8240086786488966, "fos_yielding": 3.4637766596688007, "deflection": 0.0026999552192607194, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.138)" }, "parent_node_id": "node_2788", "improvement_over_parent": null }, "node_2790": { "node_id": "node_2790", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 166.86 kg\n Factor of Safety: 1.26\n Max Deflection: 2.30e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 166.85981739982182, "fos_buckling": 1.2592486875436022, "fos_yielding": 3.4637766596688007, "deflection": 0.0023043977656863226, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.004024)" }, "parent_node_id": "node_2789", "improvement_over_parent": null }, "node_2791": { "node_id": "node_2791", "content": "MODIFICATION: Increase 11 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0048)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 170.03 kg\n Factor of Safety: 1.26\n Max Deflection: 2.29e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 170.0292312304467, "fos_buckling": 1.2592486875436022, "fos_yielding": 3.4637766596688007, "deflection": 0.0022856984225784254, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.229)" }, "parent_node_id": "node_2790", "improvement_over_parent": null }, "node_2792": { "node_id": "node_2792", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0048)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n\nPerformance:\n Mass: 181.35 kg\n Factor of Safety: 1.18\n Max Deflection: 2.23e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 181.35387323255355, "fos_buckling": 1.1849065513691386, "fos_yielding": 3.2592860307261278, "deflection": 0.0022257041896089316, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.003363)" }, "parent_node_id": "node_2791", "improvement_over_parent": null }, "node_2793": { "node_id": "node_2793", "content": "MODIFICATION: Increase 6 thickness by 53%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0048)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n\nPerformance:\n Mass: 188.38 kg\n Factor of Safety: 1.27\n Max Deflection: 2.18e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 188.38168190654156, "fos_buckling": 1.2722580636927858, "fos_yielding": 3.5048704882992383, "deflection": 0.0021822224800473727, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.529)" }, "parent_node_id": "node_2792", "improvement_over_parent": null }, "node_2794": { "node_id": "node_2794", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0048)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 203.83 kg\n Factor of Safety: 1.49\n Max Deflection: 2.02e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 203.83258642028235, "fos_buckling": 1.4933651957217828, "fos_yielding": 4.232992477830791, "deflection": 0.002019041344771851, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003928)" }, "parent_node_id": "node_2793", "improvement_over_parent": null }, "node_2795": { "node_id": "node_2795", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2794", "improvement_over_parent": null }, "node_2796": { "node_id": "node_2796", "content": "INITIAL DESIGN (Trace 397)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0013)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0015)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0030)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0027)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0020)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0025)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0010)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0033)]\n\nPerformance:\n Mass: 111.99 kg\n Factor of Safety: 0.31\n Max Deflection: 8.78e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 111.99463277458725, "fos_buckling": 0.3082564891003289, "fos_yielding": 1.4141722545423738, "deflection": 0.008776261360516496, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2797": { "node_id": "node_2797", "content": "MODIFICATION: Increase 13 thickness by 51%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0013)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0015)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0030)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0027)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0020)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0025)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0014)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0033)]\n\nPerformance:\n Mass: 113.97 kg\n Factor of Safety: 0.31\n Max Deflection: 8.67e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 113.96816103814521, "fos_buckling": 0.30821504592248794, "fos_yielding": 1.413982532246196, "deflection": 0.008670912058990295, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.506)" }, "parent_node_id": "node_2796", "improvement_over_parent": null }, "node_2798": { "node_id": "node_2798", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0019)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n\nPerformance:\n Mass: 146.69 kg\n Factor of Safety: 0.38\n Max Deflection: 6.76e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 146.69362952599303, "fos_buckling": 0.38419140080780373, "fos_yielding": 1.8143688298738925, "deflection": 0.006757826297728485, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.307)" }, "parent_node_id": "node_2797", "improvement_over_parent": null }, "node_2799": { "node_id": "node_2799", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0019)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n\nPerformance:\n Mass: 152.32 kg\n Factor of Safety: 1.25\n Max Deflection: 2.76e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 152.31577273492607, "fos_buckling": 1.249361623166136, "fos_yielding": 2.1927648492134697, "deflection": 0.002762118055303502, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.002709)" }, "parent_node_id": "node_2798", "improvement_over_parent": null }, "node_2800": { "node_id": "node_2800", "content": "MODIFICATION: Increase 14 thickness by 59%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0019)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0068)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n\nPerformance:\n Mass: 165.07 kg\n Factor of Safety: 1.28\n Max Deflection: 2.51e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 165.07151504349815, "fos_buckling": 1.2791294609991626, "fos_yielding": 2.097127313166388, "deflection": 0.002509498939276798, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.587)" }, "parent_node_id": "node_2799", "improvement_over_parent": null }, "node_2801": { "node_id": "node_2801", "content": "MODIFICATION: Increase 2 thickness by 55%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0019)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0068)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n\nPerformance:\n Mass: 167.10 kg\n Factor of Safety: 1.28\n Max Deflection: 2.34e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 167.1042251104198, "fos_buckling": 1.2800090183118076, "fos_yielding": 3.0765670069524518, "deflection": 0.002336493421224328, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.546)" }, "parent_node_id": "node_2800", "improvement_over_parent": null }, "node_2802": { "node_id": "node_2802", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0025)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0089)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n\nPerformance:\n Mass: 214.31 kg\n Factor of Safety: 1.58\n Max Deflection: 1.83e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 214.3121915609598, "fos_buckling": 1.5800725690745594, "fos_yielding": 3.9520320015150077, "deflection": 0.0018279927669534665, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.314)" }, "parent_node_id": "node_2801", "improvement_over_parent": null }, "node_2803": { "node_id": "node_2803", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2802", "improvement_over_parent": null }, "node_2804": { "node_id": "node_2804", "content": "INITIAL DESIGN (Trace 398)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0032)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 166.58 kg\n Factor of Safety: 0.47\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": 166.582407506584, "fos_buckling": 0.47408220169829385, "fos_yielding": 2.326908406436985, "deflection": 0.006022694997597032, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2805": { "node_id": "node_2805", "content": "MODIFICATION: Increase 8 thickness by 59%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0032)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 169.92 kg\n Factor of Safety: 0.47\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": 169.92131380197043, "fos_buckling": 0.47408220169829385, "fos_yielding": 2.326908406436985, "deflection": 0.006022694997597032, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.587)" }, "parent_node_id": "node_2804", "improvement_over_parent": null }, "node_2806": { "node_id": "node_2806", "content": "MODIFICATION: Increase 3 thickness by 55%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0032)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 170.86 kg\n Factor of Safety: 0.47\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": 170.8575302738795, "fos_buckling": 0.47406714282104034, "fos_yielding": 2.3267610987500134, "deflection": 0.005999136718534811, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.546)" }, "parent_node_id": "node_2805", "improvement_over_parent": null }, "node_2807": { "node_id": "node_2807", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0032)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 186.31 kg\n Factor of Safety: 0.47\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": 186.30843478762029, "fos_buckling": 0.47357062901596836, "fos_yielding": 2.324332688583352, "deflection": 0.005418717932460893, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003928)" }, "parent_node_id": "node_2806", "improvement_over_parent": null }, "node_2808": { "node_id": "node_2808", "content": "MODIFICATION: Increase 5 thickness by 62%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 194.09 kg\n Factor of Safety: 0.47\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": 194.08784444122654, "fos_buckling": 0.4735706290159683, "fos_yielding": 2.324332688583351, "deflection": 0.005213724981799062, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.618)" }, "parent_node_id": "node_2807", "improvement_over_parent": null }, "node_2809": { "node_id": "node_2809", "content": "MODIFICATION: Increase 2 thickness by 56%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 196.69 kg\n Factor of Safety: 0.47\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": 196.68649562049455, "fos_buckling": 0.4734872236838794, "fos_yielding": 2.3239247578841735, "deflection": 0.0051855459676193125, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.555)" }, "parent_node_id": "node_2808", "improvement_over_parent": null }, "node_2810": { "node_id": "node_2810", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n\nPerformance:\n Mass: 203.92 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.91764140870296, "fos_buckling": 1.5437489696724864, "fos_yielding": 4.250827047916331, "deflection": 0.0020071522809587774, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.003560)" }, "parent_node_id": "node_2809", "improvement_over_parent": null }, "node_2811": { "node_id": "node_2811", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2810", "improvement_over_parent": null }, "node_2812": { "node_id": "node_2812", "content": "INITIAL DESIGN (Trace 399)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0045)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0019)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0049)]\n\nPerformance:\n Mass: 133.27 kg\n Factor of Safety: 0.31\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": 133.2673662384325, "fos_buckling": 0.3065745442995396, "fos_yielding": 1.9275077454600722, "deflection": 0.00796027665149083, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2813": { "node_id": "node_2813", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0045)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0019)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0049)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n\nPerformance:\n Mass: 139.63 kg\n Factor of Safety: 0.31\n Max Deflection: 4.46e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 139.62863646011496, "fos_buckling": 0.30617985119797736, "fos_yielding": 1.9250262151944724, "deflection": 0.0044625759230377746, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.003095)" }, "parent_node_id": "node_2812", "improvement_over_parent": null }, "node_2814": { "node_id": "node_2814", "content": "MODIFICATION: Increase 8 thickness by 41%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0045)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0042)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0019)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0049)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n\nPerformance:\n Mass: 142.73 kg\n Factor of Safety: 0.31\n Max Deflection: 4.46e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 142.7299417339051, "fos_buckling": 0.30617985119797736, "fos_yielding": 1.9250262151944724, "deflection": 0.0044625759230377746, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.414)" }, "parent_node_id": "node_2813", "improvement_over_parent": null }, "node_2815": { "node_id": "node_2815", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0048)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0022)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n\nPerformance:\n Mass: 162.34 kg\n Factor of Safety: 0.34\n Max Deflection: 3.92e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 162.3417609553293, "fos_buckling": 0.34004428445325924, "fos_yielding": 2.1943251546392375, "deflection": 0.003924086471466252, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.151)" }, "parent_node_id": "node_2814", "improvement_over_parent": null }, "node_2816": { "node_id": "node_2816", "content": "MODIFICATION: Increase 10 thickness by 56%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0048)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0022)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0068)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n\nPerformance:\n Mass: 171.49 kg\n Factor of Safety: 0.34\n Max Deflection: 3.94e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 171.49481798238375, "fos_buckling": 0.3394169768375328, "fos_yielding": 2.1902771028300476, "deflection": 0.003939962749890692, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.558)" }, "parent_node_id": "node_2815", "improvement_over_parent": null }, "node_2817": { "node_id": "node_2817", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0048)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0022)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0068)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 186.95 kg\n Factor of Safety: 0.34\n Max Deflection: 3.73e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 186.94572249612455, "fos_buckling": 0.3390650158330156, "fos_yielding": 2.1880058784014236, "deflection": 0.0037313071315202844, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003928)" }, "parent_node_id": "node_2816", "improvement_over_parent": null }, "node_2818": { "node_id": "node_2818", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0048)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0022)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0068)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n\nPerformance:\n Mass: 209.15 kg\n Factor of Safety: 1.44\n Max Deflection: 2.01e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 209.14870717983834, "fos_buckling": 1.4369430695157888, "fos_yielding": 4.146931171453286, "deflection": 0.0020096711638420382, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.004709)" }, "parent_node_id": "node_2817", "improvement_over_parent": null }, "node_2819": { "node_id": "node_2819", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2818", "improvement_over_parent": null }, "node_2820": { "node_id": "node_2820", "content": "INITIAL DESIGN (Trace 400)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n\nPerformance:\n Mass: 116.51 kg\n Factor of Safety: 0.36\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": 116.51451152838197, "fos_buckling": 0.3635014118657259, "fos_yielding": 1.6492721090545224, "deflection": 14932340811449.797, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2821": { "node_id": "node_2821", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0045)]\n\nPerformance:\n Mass: 141.90 kg\n Factor of Safety: 0.71\n Max Deflection: 4.68e+12 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 141.8979118774901, "fos_buckling": 0.7110258952469325, "fos_yielding": 3.009715427917804, "deflection": 4683834540467.061, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.004451)" }, "parent_node_id": "node_2820", "improvement_over_parent": null }, "node_2822": { "node_id": "node_2822", "content": "MODIFICATION: Increase 2 thickness by 45%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0045)]\n\nPerformance:\n Mass: 143.74 kg\n Factor of Safety: 0.47\n Max Deflection: 3.00e+12 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 143.74063351269132, "fos_buckling": 0.474017263497955, "fos_yielding": 2.588506359943615, "deflection": 2998138901079.7246, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.447)" }, "parent_node_id": "node_2821", "improvement_over_parent": null }, "node_2823": { "node_id": "node_2823", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0045)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n\nPerformance:\n Mass: 149.60 kg\n Factor of Safety: 0.80\n Max Deflection: 3.01e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 149.6038234030522, "fos_buckling": 0.802824389022553, "fos_yielding": 2.8451901014433147, "deflection": 0.0030102017563621024, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.002834)" }, "parent_node_id": "node_2822", "improvement_over_parent": null }, "node_2824": { "node_id": "node_2824", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n\nPerformance:\n Mass: 184.48 kg\n Factor of Safety: 0.96\n Max Deflection: 2.45e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 184.48488780740342, "fos_buckling": 0.9571264994983283, "fos_yielding": 3.501239289936274, "deflection": 0.0024471443787214037, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.256)" }, "parent_node_id": "node_2823", "improvement_over_parent": null }, "node_2825": { "node_id": "node_2825", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n\nPerformance:\n Mass: 188.32 kg\n Factor of Safety: 0.96\n Max Deflection: 2.20e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 188.3172965741222, "fos_buckling": 0.956875254658242, "fos_yielding": 3.500329116265824, "deflection": 0.0022013513928484966, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002592)" }, "parent_node_id": "node_2824", "improvement_over_parent": null }, "node_2826": { "node_id": "node_2826", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n\nPerformance:\n Mass: 203.90 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.89863320657474, "fos_buckling": 1.543523264721489, "fos_yielding": 4.252330560374605, "deflection": 0.0020073191886309863, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.003945)" }, "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "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 401)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 167.10 kg\n Factor of Safety: 0.66\n Max Deflection: 2.91e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 167.09896048228632, "fos_buckling": 0.6562909202687013, "fos_yielding": 1.8109305911474287, "deflection": 2914104073865.8984, "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 7 thickness by 57%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 170.40 kg\n Factor of Safety: 0.48\n Max Deflection: 4.88e+12 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 170.40336474264262, "fos_buckling": 0.48284420893257946, "fos_yielding": 2.3552352482497927, "deflection": 4880220516019.759, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.572)" }, "parent_node_id": "node_2828", "improvement_over_parent": null }, "node_2830": { "node_id": "node_2830", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n\nPerformance:\n Mass: 181.73 kg\n Factor of Safety: 0.34\n Max Deflection: 3.19e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 181.72800674474948, "fos_buckling": 0.3392216727668304, "fos_yielding": 2.5260814609308326, "deflection": 0.003190885658851972, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.003363)" }, "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93099142846327, "fos_buckling": 1.5436932929176934, "fos_yielding": 4.252552270790245, "deflection": 0.0020069903797283665, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.004709)" }, "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "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 402)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0014)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0016)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0010)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0016)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0022)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0015)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0015)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0015)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0015)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0019)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0017)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0024)]\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_2834": { "node_id": "node_2834", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0014)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0016)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0010)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0016)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0022)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0015)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0015)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0015)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0015)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0019)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0017)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0024)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0011)]\n\nPerformance:\n Mass: 83.92 kg\n Factor of Safety: 0.64\n Max Deflection: 4.82e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 83.9155902306591, "fos_buckling": 0.6442980057553597, "fos_yielding": 1.6208386303558178, "deflection": 0.00481623991467638, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.001133)" }, "parent_node_id": "node_2833", "improvement_over_parent": null }, "node_2835": { "node_id": "node_2835", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0017)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0020)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0012)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0019)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0028)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0019)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0022)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0019)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0019)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0018)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0024)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0030)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0014)]\n\nPerformance:\n Mass: 103.21 kg\n Factor of Safety: 0.78\n Max Deflection: 3.92e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 103.21410000018867, "fos_buckling": 0.7792995352551991, "fos_yielding": 1.9906721845253423, "deflection": 0.003920856456784144, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.241)" }, "parent_node_id": "node_2834", "improvement_over_parent": null }, "node_2836": { "node_id": "node_2836", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0022)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0022)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0036)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0017)]\n\nPerformance:\n Mass: 121.26 kg\n Factor of Safety: 0.90\n Max Deflection: 3.34e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 121.26433513839818, "fos_buckling": 0.8992396130786323, "fos_yielding": 2.335585977300601, "deflection": 0.0033413275428058084, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.185)" }, "parent_node_id": "node_2835", "improvement_over_parent": null }, "node_2837": { "node_id": "node_2837", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0022)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0022)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0036)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0017)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0025)]\n\nPerformance:\n Mass: 131.51 kg\n Factor of Safety: 0.92\n Max Deflection: 3.08e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 131.511310170826, "fos_buckling": 0.9186768276931427, "fos_yielding": 2.8370979069344733, "deflection": 0.003082544419690328, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.002523)" }, "parent_node_id": "node_2836", "improvement_over_parent": null }, "node_2838": { "node_id": "node_2838", "content": "MODIFICATION: Increase 10 thickness by 37%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0022)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0036)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0017)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0025)]\n\nPerformance:\n Mass: 134.09 kg\n Factor of Safety: 0.86\n Max Deflection: 3.06e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 134.0903730820159, "fos_buckling": 0.8571227274733592, "fos_yielding": 2.838247881457635, "deflection": 0.0030584708277191113, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.372)" }, "parent_node_id": "node_2837", "improvement_over_parent": null }, "node_2839": { "node_id": "node_2839", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0027)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0036)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n\nPerformance:\n Mass: 162.65 kg\n Factor of Safety: 1.01\n Max Deflection: 2.53e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 162.64559100365898, "fos_buckling": 1.0140686619730466, "fos_yielding": 3.436974647746718, "deflection": 0.0025254668765716027, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.229)" }, "parent_node_id": "node_2838", "improvement_over_parent": null }, "node_2840": { "node_id": "node_2840", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0046)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 202.17 kg\n Factor of Safety: 1.22\n Max Deflection: 2.04e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 202.1658842109672, "fos_buckling": 1.2170135477619968, "fos_yielding": 4.262381517820221, "deflection": 0.0020361450560178853, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.267)" }, "parent_node_id": "node_2839", "improvement_over_parent": null }, "node_2841": { "node_id": "node_2841", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2840", "improvement_over_parent": null }, "node_2842": { "node_id": "node_2842", "content": "INITIAL DESIGN (Trace 403)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0016)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0031)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0029)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0009)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0016)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0024)]\n\nPerformance:\n Mass: 101.00 kg\n Factor of Safety: 0.21\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": 101.00488976520097, "fos_buckling": 0.21489680731907146, "fos_yielding": 1.1044137758446626, "deflection": 0.009092198375217546, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2843": { "node_id": "node_2843", "content": "MODIFICATION: Increase 13 thickness by 51%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0016)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0031)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0029)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0009)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0024)]\n\nPerformance:\n Mass: 104.23 kg\n Factor of Safety: 0.21\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": 104.22790744427563, "fos_buckling": 0.2148261319493198, "fos_yielding": 1.1040498777332672, "deflection": 0.009090895870332735, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.513)" }, "parent_node_id": "node_2842", "improvement_over_parent": null }, "node_2844": { "node_id": "node_2844", "content": "MODIFICATION: Increase 4 thickness by 37%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0031)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0029)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0009)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0024)]\n\nPerformance:\n Mass: 105.41 kg\n Factor of Safety: 0.21\n Max Deflection: 9.03e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 105.41478968964289, "fos_buckling": 0.214800117323375, "fos_yielding": 1.1039159319848344, "deflection": 0.009026274628829494, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.370)" }, "parent_node_id": "node_2843", "improvement_over_parent": null }, "node_2845": { "node_id": "node_2845", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0031)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0029)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0009)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0024)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0034)]\n\nPerformance:\n Mass: 125.22 kg\n Factor of Safety: 1.01\n Max Deflection: 3.21e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 125.2230600483448, "fos_buckling": 1.0110733439724306, "fos_yielding": 2.6997637934342587, "deflection": 0.003211292082420944, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.003417)" }, "parent_node_id": "node_2844", "improvement_over_parent": null }, "node_2846": { "node_id": "node_2846", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0012)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0044)]\n\nPerformance:\n Mass: 157.80 kg\n Factor of Safety: 1.24\n Max Deflection: 2.55e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 157.7986150351269, "fos_buckling": 1.235004237275338, "fos_yielding": 3.394579488097112, "deflection": 0.002553858500456674, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.279)" }, "parent_node_id": "node_2845", "improvement_over_parent": null }, "node_2847": { "node_id": "node_2847", "content": "MODIFICATION: Increase 11 thickness by 41%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0017)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0044)]\n\nPerformance:\n Mass: 159.48 kg\n Factor of Safety: 1.28\n Max Deflection: 2.53e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 159.4834539640687, "fos_buckling": 1.2750427420899662, "fos_yielding": 3.396256175633963, "deflection": 0.0025345350062380783, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.412)" }, "parent_node_id": "node_2846", "improvement_over_parent": null }, "node_2848": { "node_id": "node_2848", "content": "MODIFICATION: Increase 11 thickness by 55%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0044)]\n\nPerformance:\n Mass: 162.55 kg\n Factor of Safety: 1.28\n Max Deflection: 2.51e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 162.55470503905553, "fos_buckling": 1.2787573693503669, "fos_yielding": 3.3981643606011813, "deflection": 0.002511380228113559, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.553)" }, "parent_node_id": "node_2847", "improvement_over_parent": null }, "node_2849": { "node_id": "node_2849", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n\nPerformance:\n Mass: 203.87 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.86625339046833, "fos_buckling": 1.5433859102920489, "fos_yielding": 4.251201341123595, "deflection": 0.0020076740399108464, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.279)" }, "parent_node_id": "node_2848", "improvement_over_parent": null }, "node_2850": { "node_id": "node_2850", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2849", "improvement_over_parent": null }, "node_2851": { "node_id": "node_2851", "content": "INITIAL DESIGN (Trace 404)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0029)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 160.31 kg\n Factor of Safety: 0.63\n Max Deflection: 4.95e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 160.31023456579243, "fos_buckling": 0.6330147317796944, "fos_yielding": 2.357696574009422, "deflection": 0.004946172720085505, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2852": { "node_id": "node_2852", "content": "MODIFICATION: Increase 8 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0029)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 161.73 kg\n Factor of Safety: 0.63\n Max Deflection: 4.89e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 161.73489842428842, "fos_buckling": 0.6330147317796944, "fos_yielding": 2.357696574009422, "deflection": 0.004894506675073487, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.192)" }, "parent_node_id": "node_2851", "improvement_over_parent": null }, "node_2853": { "node_id": "node_2853", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0029)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 175.06 kg\n Factor of Safety: 0.91\n Max Deflection: 2.72e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 175.05843249593366, "fos_buckling": 0.9144043328636926, "fos_yielding": 2.5470946031368618, "deflection": 0.002718701022791604, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.004024)" }, "parent_node_id": "node_2852", "improvement_over_parent": null }, "node_2854": { "node_id": "node_2854", "content": "MODIFICATION: Increase 10 thickness by 64%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0029)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0055)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 181.20 kg\n Factor of Safety: 0.91\n Max Deflection: 2.71e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 181.19893600956462, "fos_buckling": 0.9142137873119046, "fos_yielding": 2.5465638340567427, "deflection": 0.002706019886970717, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.637)" }, "parent_node_id": "node_2853", "improvement_over_parent": null }, "node_2855": { "node_id": "node_2855", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0029)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0055)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n\nPerformance:\n Mass: 200.30 kg\n Factor of Safety: 1.04\n Max Deflection: 2.10e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 200.30265533235803, "fos_buckling": 1.037777693162985, "fos_yielding": 3.7444252618230394, "deflection": 0.0021045688079411886, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.004368)" }, "parent_node_id": "node_2854", "improvement_over_parent": null }, "node_2856": { "node_id": "node_2856", "content": "MODIFICATION: Increase 4 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0029)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0055)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n\nPerformance:\n Mass: 201.92 kg\n Factor of Safety: 1.05\n Max Deflection: 2.06e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 201.9192004511251, "fos_buckling": 1.0533895792942263, "fos_yielding": 4.262517685366983, "deflection": 0.002056254020390934, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.316)" }, "parent_node_id": "node_2855", "improvement_over_parent": null }, "node_2857": { "node_id": "node_2857", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2856", "improvement_over_parent": null }, "node_2858": { "node_id": "node_2858", "content": "INITIAL DESIGN (Trace 405)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0034)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0024)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0032)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0029)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0041)]\n\nPerformance:\n Mass: 149.24 kg\n Factor of Safety: 1.13\n Max Deflection: 2.79e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 149.24146325846544, "fos_buckling": 1.1284845168772892, "fos_yielding": 2.5296615924563515, "deflection": 0.002794461081148935, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2859": { "node_id": "node_2859", "content": "MODIFICATION: Increase 8 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0034)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0024)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0032)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0029)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0041)]\n\nPerformance:\n Mass: 150.87 kg\n Factor of Safety: 1.23\n Max Deflection: 2.76e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 150.8670741638266, "fos_buckling": 1.2280409537826207, "fos_yielding": 2.5585957569199462, "deflection": 0.002764006092429307, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.209)" }, "parent_node_id": "node_2858", "improvement_over_parent": null }, "node_2860": { "node_id": "node_2860", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0042)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0046)]\n\nPerformance:\n Mass: 168.92 kg\n Factor of Safety: 1.35\n Max Deflection: 2.47e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 168.92040984268547, "fos_buckling": 1.3520911851253146, "fos_yielding": 2.866596949063217, "deflection": 0.0024708900433909535, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.129)" }, "parent_node_id": "node_2859", "improvement_over_parent": null }, "node_2861": { "node_id": "node_2861", "content": "MODIFICATION: Increase 2 thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0042)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0046)]\n\nPerformance:\n Mass: 170.26 kg\n Factor of Safety: 1.33\n Max Deflection: 2.40e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 170.25951946633975, "fos_buckling": 1.329879072064491, "fos_yielding": 3.5571081210215727, "deflection": 0.0023988777837030536, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.282)" }, "parent_node_id": "node_2860", "improvement_over_parent": null }, "node_2862": { "node_id": "node_2862", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 204.05 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.05357688434, "fos_buckling": 1.544450017800351, "fos_yielding": 4.254504480144181, "deflection": 0.0020058419555443636, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.218)" }, "parent_node_id": "node_2861", "improvement_over_parent": null }, "node_2863": { "node_id": "node_2863", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2862", "improvement_over_parent": null }, "node_2864": { "node_id": "node_2864", "content": "INITIAL DESIGN (Trace 406)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0024)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0028)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0040)]\n\nPerformance:\n Mass: 130.36 kg\n Factor of Safety: 0.26\n Max Deflection: 4.33e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 130.3552661838787, "fos_buckling": 0.2609071834203056, "fos_yielding": 1.85234809124216, "deflection": 0.004325739073976595, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2865": { "node_id": "node_2865", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0024)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0028)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0040)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0033)]\n\nPerformance:\n Mass: 146.54 kg\n Factor of Safety: 1.10\n Max Deflection: 2.78e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 146.53776716221572, "fos_buckling": 1.0966288991689208, "fos_yielding": 3.0627931550874394, "deflection": 0.0027846110823212165, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.003344)" }, "parent_node_id": "node_2864", "improvement_over_parent": null }, "node_2866": { "node_id": "node_2866", "content": "MODIFICATION: Increase 8 thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0024)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0028)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0040)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0033)]\n\nPerformance:\n Mass: 148.65 kg\n Factor of Safety: 1.18\n Max Deflection: 2.74e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 148.65448034320926, "fos_buckling": 1.1841962316229824, "fos_yielding": 3.1101771300166052, "deflection": 0.0027437669180479583, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.297)" }, "parent_node_id": "node_2865", "improvement_over_parent": null }, "node_2867": { "node_id": "node_2867", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0048)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n\nPerformance:\n Mass: 176.01 kg\n Factor of Safety: 1.37\n Max Deflection: 2.32e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 176.00540762684386, "fos_buckling": 1.36749516707606, "fos_yielding": 3.6763613910079878, "deflection": 0.0023213798751660873, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.199)" }, "parent_node_id": "node_2866", "improvement_over_parent": null }, "node_2868": { "node_id": "node_2868", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n\nPerformance:\n Mass: 204.04 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.04194194811464, "fos_buckling": 1.544370264060989, "fos_yielding": 4.254808278568543, "deflection": 0.002005936488576838, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.175)" }, "parent_node_id": "node_2867", "improvement_over_parent": null }, "node_2869": { "node_id": "node_2869", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2868", "improvement_over_parent": null }, "node_2870": { "node_id": "node_2870", "content": "INITIAL DESIGN (Trace 407)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0015)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0018)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0018)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0017)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0012)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0025)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0010)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0016)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0023)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0016)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0021)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0019)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0027)]\n\nPerformance:\n Mass: 91.37 kg\n Factor of Safety: 0.70\n Max Deflection: 4.61e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 91.36958266424892, "fos_buckling": 0.6997411849144308, "fos_yielding": 1.7686900030807668, "deflection": 0.004612902283330789, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2871": { "node_id": "node_2871", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0015)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0030)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0012)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0028)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0020)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0033)]\n\nPerformance:\n Mass: 110.46 kg\n Factor of Safety: 0.83\n Max Deflection: 3.82e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 110.46458530891528, "fos_buckling": 0.8298631214642077, "fos_yielding": 2.135477101661046, "deflection": 0.0038205579687682774, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.220)" }, "parent_node_id": "node_2870", "improvement_over_parent": null }, "node_2872": { "node_id": "node_2872", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0015)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0030)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0012)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0028)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0020)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0033)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0013)]\n\nPerformance:\n Mass: 112.17 kg\n Factor of Safety: 0.83\n Max Deflection: 3.59e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 112.17017148982703, "fos_buckling": 0.8301592501229177, "fos_yielding": 2.135353043492458, "deflection": 0.0035918054933646642, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.001297)" }, "parent_node_id": "node_2871", "improvement_over_parent": null }, "node_2873": { "node_id": "node_2873", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0035)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0015)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0032)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0023)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0038)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n\nPerformance:\n Mass: 129.17 kg\n Factor of Safety: 0.94\n Max Deflection: 3.12e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 129.17016282776373, "fos_buckling": 0.9400861006561657, "fos_yielding": 2.456084541328731, "deflection": 0.003122717807066733, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.161)" }, "parent_node_id": "node_2872", "improvement_over_parent": null }, "node_2874": { "node_id": "node_2874", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0042)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0018)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0046)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n\nPerformance:\n Mass: 155.30 kg\n Factor of Safety: 1.10\n Max Deflection: 2.60e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 155.30076928515308, "fos_buckling": 1.1009869993997552, "fos_yielding": 2.947587523399018, "deflection": 0.002601947083790573, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.218)" }, "parent_node_id": "node_2873", "improvement_over_parent": null }, "node_2875": { "node_id": "node_2875", "content": "MODIFICATION: Increase 7 thickness by 60%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0042)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0018)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0053)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0046)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n\nPerformance:\n Mass: 161.22 kg\n Factor of Safety: 1.10\n Max Deflection: 2.58e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 161.21608822573265, "fos_buckling": 1.1001028006823723, "fos_yielding": 2.9452203264121453, "deflection": 0.002584079940103052, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.600)" }, "parent_node_id": "node_2874", "improvement_over_parent": null }, "node_2876": { "node_id": "node_2876", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0064)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n\nPerformance:\n Mass: 192.01 kg\n Factor of Safety: 1.27\n Max Deflection: 2.17e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 192.00713306984096, "fos_buckling": 1.2718364934073134, "fos_yielding": 3.5040029784943414, "deflection": 0.00217234833985699, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.211)" }, "parent_node_id": "node_2875", "improvement_over_parent": null }, "node_2877": { "node_id": "node_2877", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0064)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 207.46 kg\n Factor of Safety: 1.49\n Max Deflection: 1.98e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 207.45803758358176, "fos_buckling": 1.490293688108046, "fos_yielding": 4.3408834786218495, "deflection": 0.0019754037893762316, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003928)" }, "parent_node_id": "node_2876", "improvement_over_parent": null }, "node_2878": { "node_id": "node_2878", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2877", "improvement_over_parent": null }, "node_2879": { "node_id": "node_2879", "content": "INITIAL DESIGN (Trace 408)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 194.12 kg\n Factor of Safety: 1.13\n Max Deflection: 2.15e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 194.12374065707405, "fos_buckling": 1.131665086774858, "fos_yielding": 3.080649623635097, "deflection": 0.0021527347102511547, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2880": { "node_id": "node_2880", "content": "MODIFICATION: Increase 4 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 195.12 kg\n Factor of Safety: 1.30\n Max Deflection: 2.11e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 195.12042527082934, "fos_buckling": 1.3016798660335958, "fos_yielding": 3.6479875010348612, "deflection": 0.002106205950353523, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.230)" }, "parent_node_id": "node_2879", "improvement_over_parent": null }, "node_2881": { "node_id": "node_2881", "content": "MODIFICATION: Increase 4 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 196.71 kg\n Factor of Safety: 1.30\n Max Deflection: 2.06e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 196.708649464504, "fos_buckling": 1.3046711038115038, "fos_yielding": 3.656370513103475, "deflection": 0.0020568518066827854, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.309)" }, "parent_node_id": "node_2880", "improvement_over_parent": null }, "node_2882": { "node_id": "node_2882", "content": "MODIFICATION: Increase 0 thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 197.80 kg\n Factor of Safety: 1.31\n Max Deflection: 2.04e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 197.79928921823694, "fos_buckling": 1.3147865336740616, "fos_yielding": 3.68471923591091, "deflection": 0.0020407406236535243, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.272)" }, "parent_node_id": "node_2881", "improvement_over_parent": null }, "node_2883": { "node_id": "node_2883", "content": "MODIFICATION: Increase 6 thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 202.48 kg\n Factor of Safety: 1.53\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 202.4835799625472, "fos_buckling": 1.5310036825722215, "fos_yielding": 4.217595047397711, "deflection": 0.0020136941251066806, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.304)" }, "parent_node_id": "node_2882", "improvement_over_parent": null }, "node_2884": { "node_id": "node_2884", "content": "MODIFICATION: Increase 9 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93305559968337, "fos_buckling": 1.5436904406770109, "fos_yielding": 4.252544413463505, "deflection": 0.0020070317535823483, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.196)" }, "parent_node_id": "node_2883", "improvement_over_parent": null }, "node_2885": { "node_id": "node_2885", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2884", "improvement_over_parent": null }, "node_2886": { "node_id": "node_2886", "content": "INITIAL DESIGN (Trace 409)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0035)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0033)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0023)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0027)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0039)]\n\nPerformance:\n Mass: 124.54 kg\n Factor of Safety: 0.38\n Max Deflection: 8.36e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 124.53659628337724, "fos_buckling": 0.3803157621882661, "fos_yielding": 2.691909888630315, "deflection": 8361840292723.443, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2887": { "node_id": "node_2887", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0035)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0033)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0023)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0027)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0039)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n\nPerformance:\n Mass: 138.12 kg\n Factor of Safety: 0.36\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": 138.12377019306285, "fos_buckling": 0.3556289462875917, "fos_yielding": 1.6606721167655887, "deflection": 0.007471390069465534, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.003022)" }, "parent_node_id": "node_2886", "improvement_over_parent": null }, "node_2888": { "node_id": "node_2888", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0046)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0031)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0031)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0042)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0050)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n\nPerformance:\n Mass: 176.30 kg\n Factor of Safety: 0.44\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": 176.30458362666155, "fos_buckling": 0.4375266841954021, "fos_yielding": 2.1128774017856355, "deflection": 0.005871411510161997, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.300)" }, "parent_node_id": "node_2887", "improvement_over_parent": null }, "node_2889": { "node_id": "node_2889", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n\nPerformance:\n Mass: 194.29 kg\n Factor of Safety: 0.47\n Max Deflection: 5.34e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 194.29329276329992, "fos_buckling": 0.47368167535691996, "fos_yielding": 2.3249046998264755, "deflection": 0.005335462238016623, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.112)" }, "parent_node_id": "node_2888", "improvement_over_parent": null }, "node_2890": { "node_id": "node_2890", "content": "MODIFICATION: Increase 12 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0047)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n\nPerformance:\n Mass: 197.09 kg\n Factor of Safety: 0.47\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": 197.08715729786678, "fos_buckling": 0.4735919784741294, "fos_yielding": 2.3244659566495427, "deflection": 0.005317042065653041, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.203)" }, "parent_node_id": "node_2889", "improvement_over_parent": null }, "node_2891": { "node_id": "node_2891", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0047)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n\nPerformance:\n Mass: 204.32 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.3183030860752, "fos_buckling": 1.5384618879307685, "fos_yielding": 4.299624978747262, "deflection": 0.0020086216640493185, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.003560)" }, "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "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 410)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0011)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0042)]\n\nPerformance:\n Mass: 145.58 kg\n Factor of Safety: 1.03\n Max Deflection: 2.81e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 145.57509972440576, "fos_buckling": 1.0299555911806937, "fos_yielding": 2.7272148083453733, "deflection": 0.0028079515350965633, "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 all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 187.50 kg\n Factor of Safety: 1.27\n Max Deflection: 2.19e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 187.5009425808388, "fos_buckling": 1.271741779929743, "fos_yielding": 3.503116446750363, "deflection": 0.0021860487397119817, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.316)" }, "parent_node_id": "node_2893", "improvement_over_parent": null }, "node_2895": { "node_id": "node_2895", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 202.95 kg\n Factor of Safety: 1.24\n Max Deflection: 2.02e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 202.9518470945796, "fos_buckling": 1.2432798150517455, "fos_yielding": 4.2497922069789125, "deflection": 0.0020158372275598927, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003928)" }, "parent_node_id": "node_2894", "improvement_over_parent": null }, "node_2896": { "node_id": "node_2896", "content": "MODIFICATION: Increase 3 thickness by 52%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 203.85 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.85293489616743, "fos_buckling": 1.5432082189818572, "fos_yielding": 4.250892891931518, "deflection": 0.0020078055689548412, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.517)" }, "parent_node_id": "node_2895", "improvement_over_parent": null }, "node_2897": { "node_id": "node_2897", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2896", "improvement_over_parent": null }, "node_2898": { "node_id": "node_2898", "content": "INITIAL DESIGN (Trace 411)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0015)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0014)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0027)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0020)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0023)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0033)]\n\nPerformance:\n Mass: 109.78 kg\n Factor of Safety: 0.51\n Max Deflection: 4.47e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 109.77743018457741, "fos_buckling": 0.507115641240552, "fos_yielding": 1.3266469725689254, "deflection": 0.004467787678032858, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2899": { "node_id": "node_2899", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0017)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0034)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0024)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0028)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0040)]\n\nPerformance:\n Mass: 133.77 kg\n Factor of Safety: 0.61\n Max Deflection: 3.67e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 133.76866263645726, "fos_buckling": 0.6105302074350971, "fos_yielding": 1.6209492853302403, "deflection": 0.0036676921687988115, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.233)" }, "parent_node_id": "node_2898", "improvement_over_parent": null }, "node_2900": { "node_id": "node_2900", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0046)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0031)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0042)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0050)]\n\nPerformance:\n Mass: 163.86 kg\n Factor of Safety: 0.74\n Max Deflection: 3.00e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 163.85921931249663, "fos_buckling": 0.7364531595315029, "fos_yielding": 1.9928583505826836, "deflection": 0.0029952474242145775, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.244)" }, "parent_node_id": "node_2899", "improvement_over_parent": null }, "node_2901": { "node_id": "node_2901", "content": "MODIFICATION: Increase 4 thickness by 53%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0032)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0046)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0031)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0042)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0050)]\n\nPerformance:\n Mass: 165.99 kg\n Factor of Safety: 0.91\n Max Deflection: 2.80e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 165.9915069699167, "fos_buckling": 0.9107649648489894, "fos_yielding": 2.960275474683392, "deflection": 0.002796437068001473, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.527)" }, "parent_node_id": "node_2900", "improvement_over_parent": null }, "node_2902": { "node_id": "node_2902", "content": "MODIFICATION: Increase 0 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0032)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0046)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0031)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0042)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0050)]\n\nPerformance:\n Mass: 166.76 kg\n Factor of Safety: 0.91\n Max Deflection: 2.78e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 166.75605874740467, "fos_buckling": 0.9107892244201338, "fos_yielding": 2.9601986041831725, "deflection": 0.002779929573865945, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.198)" }, "parent_node_id": "node_2901", "improvement_over_parent": null }, "node_2903": { "node_id": "node_2903", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 184.81 kg\n Factor of Safety: 0.99\n Max Deflection: 2.51e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 184.81350511328958, "fos_buckling": 0.992381391592059, "fos_yielding": 3.2772544767177187, "deflection": 0.002510366377543867, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.119)" }, "parent_node_id": "node_2902", "improvement_over_parent": null }, "node_2904": { "node_id": "node_2904", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n\nPerformance:\n Mass: 203.92 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.917224436083, "fos_buckling": 1.5435961886406702, "fos_yielding": 4.2522179349835465, "deflection": 0.0020071941661006314, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.004368)" }, "parent_node_id": "node_2903", "improvement_over_parent": null }, "node_2905": { "node_id": "node_2905", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2904", "improvement_over_parent": null }, "node_2906": { "node_id": "node_2906", "content": "INITIAL DESIGN (Trace 412)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0047)]\n\nPerformance:\n Mass: 151.55 kg\n Factor of Safety: 0.30\n Max Deflection: 3.70e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 151.55412275646097, "fos_buckling": 0.29755632142964467, "fos_yielding": 2.157923244237918, "deflection": 0.003703717400568892, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2907": { "node_id": "node_2907", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0047)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n\nPerformance:\n Mass: 170.45 kg\n Factor of Safety: 1.21\n Max Deflection: 2.40e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 170.45132285117373, "fos_buckling": 1.206125879296873, "fos_yielding": 3.5531179772923904, "deflection": 0.002400048709932812, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.003950)" }, "parent_node_id": "node_2906", "improvement_over_parent": null }, "node_2908": { "node_id": "node_2908", "content": "MODIFICATION: Increase 8 thickness by 41%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0047)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n\nPerformance:\n Mass: 173.60 kg\n Factor of Safety: 1.35\n Max Deflection: 2.35e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 173.5956145238911, "fos_buckling": 1.3517766946300127, "fos_yielding": 3.6265748869886636, "deflection": 0.002353239491368435, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.414)" }, "parent_node_id": "node_2907", "improvement_over_parent": null }, "node_2909": { "node_id": "node_2909", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n\nPerformance:\n Mass: 203.94 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93957192257201, "fos_buckling": 1.5437483176243405, "fos_yielding": 4.252726705752065, "deflection": 0.002006923188205886, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.192)" }, "parent_node_id": "node_2908", "improvement_over_parent": null }, "node_2910": { "node_id": "node_2910", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2909", "improvement_over_parent": null }, "node_2911": { "node_id": "node_2911", "content": "INITIAL DESIGN (Trace 413)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0016)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0034)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0024)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0022)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0028)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0040)]\n\nPerformance:\n Mass: 144.57 kg\n Factor of Safety: 1.08\n Max Deflection: 2.77e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 144.56597895815096, "fos_buckling": 1.0829861168509636, "fos_yielding": 3.125158887517627, "deflection": 0.002771818300514904, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2912": { "node_id": "node_2912", "content": "MODIFICATION: Increase 13 thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0016)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0034)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0024)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0028)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0040)]\n\nPerformance:\n Mass: 146.97 kg\n Factor of Safety: 1.12\n Max Deflection: 2.75e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 146.96630277671423, "fos_buckling": 1.1173492852978602, "fos_yielding": 3.115706003792221, "deflection": 0.0027494709388613025, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.284)" }, "parent_node_id": "node_2911", "improvement_over_parent": null }, "node_2913": { "node_id": "node_2913", "content": "MODIFICATION: Increase 7 thickness by 54%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0034)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0024)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0028)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0040)]\n\nPerformance:\n Mass: 149.35 kg\n Factor of Safety: 1.19\n Max Deflection: 2.73e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 149.35009010257278, "fos_buckling": 1.188920971865251, "fos_yielding": 3.124405317812904, "deflection": 0.002731199565101889, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.543)" }, "parent_node_id": "node_2912", "improvement_over_parent": null }, "node_2914": { "node_id": "node_2914", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0047)]\n\nPerformance:\n Mass: 175.45 kg\n Factor of Safety: 1.36\n Max Deflection: 2.33e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 175.45469160934942, "fos_buckling": 1.363832474742492, "fos_yielding": 3.6647548909544794, "deflection": 0.002328663164603928, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.189)" }, "parent_node_id": "node_2913", "improvement_over_parent": null }, "node_2915": { "node_id": "node_2915", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 204.04 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.04303596460036, "fos_buckling": 1.544292979630596, "fos_yielding": 4.254574751064597, "deflection": 0.0020059914510932144, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.179)" }, "parent_node_id": "node_2914", "improvement_over_parent": null }, "node_2916": { "node_id": "node_2916", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2915", "improvement_over_parent": null }, "node_2917": { "node_id": "node_2917", "content": "INITIAL DESIGN (Trace 414)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0032)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0029)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0021)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n\nPerformance:\n Mass: 101.53 kg\n Factor of Safety: 0.13\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": 101.52867592931844, "fos_buckling": 0.12818972366907813, "fos_yielding": 0.6471265899859039, "deflection": 10871582818189.54, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2918": { "node_id": "node_2918", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0032)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0029)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0021)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0035)]\n\nPerformance:\n Mass: 121.75 kg\n Factor of Safety: 0.88\n Max Deflection: 3.36e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 121.75335134746392, "fos_buckling": 0.8779824977754808, "fos_yielding": 2.273267302557893, "deflection": 0.003356692662902174, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.003493)" }, "parent_node_id": "node_2917", "improvement_over_parent": null }, "node_2919": { "node_id": "node_2919", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0032)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0029)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0021)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0035)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0025)]\n\nPerformance:\n Mass: 131.74 kg\n Factor of Safety: 1.07\n Max Deflection: 3.09e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 131.7355015772993, "fos_buckling": 1.065553034863102, "fos_yielding": 2.758923873121504, "deflection": 0.0030928371345336383, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.002454)" }, "parent_node_id": "node_2918", "improvement_over_parent": null }, "node_2920": { "node_id": "node_2920", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0038)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0045)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n\nPerformance:\n Mass: 166.87 kg\n Factor of Safety: 1.31\n Max Deflection: 2.45e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 166.87158251543224, "fos_buckling": 1.3075629076334234, "fos_yielding": 3.487388692786935, "deflection": 0.0024470220668313322, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.287)" }, "parent_node_id": "node_2919", "improvement_over_parent": null }, "node_2921": { "node_id": "node_2921", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 203.95 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.95123765966676, "fos_buckling": 1.5439269893249694, "fos_yielding": 4.252816875334435, "deflection": 0.002006804856669935, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.244)" }, "parent_node_id": "node_2920", "improvement_over_parent": null }, "node_2922": { "node_id": "node_2922", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2921", "improvement_over_parent": null }, "node_2923": { "node_id": "node_2923", "content": "INITIAL DESIGN (Trace 415)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0019)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 176.69 kg\n Factor of Safety: 0.19\n Max Deflection: 1.38e+13 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 176.69041949317233, "fos_buckling": 0.1933093177402288, "fos_yielding": 0.7372237507886485, "deflection": 13838313981851.582, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2924": { "node_id": "node_2924", "content": "MODIFICATION: Increase 2 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0019)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 177.94 kg\n Factor of Safety: 0.20\n Max Deflection: 5.83e+12 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 177.941695532705, "fos_buckling": 0.19871324530924783, "fos_yielding": 1.9879837903789295, "deflection": 5825354769568.422, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.212)" }, "parent_node_id": "node_2923", "improvement_over_parent": null }, "node_2925": { "node_id": "node_2925", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0019)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n\nPerformance:\n Mass: 200.14 kg\n Factor of Safety: 1.26\n Max Deflection: 2.14e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 200.1446802164188, "fos_buckling": 1.2646405385622275, "fos_yielding": 4.196888265776638, "deflection": 0.002135547846798785, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.004709)" }, "parent_node_id": "node_2924", "improvement_over_parent": null }, "node_2926": { "node_id": "node_2926", "content": "MODIFICATION: Increase 4 thickness by 37%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n\nPerformance:\n Mass: 201.12 kg\n Factor of Safety: 1.26\n Max Deflection: 2.13e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 201.1189528523954, "fos_buckling": 1.2645579929525805, "fos_yielding": 4.233317920597842, "deflection": 0.0021288596247966735, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.374)" }, "parent_node_id": "node_2925", "improvement_over_parent": null }, "node_2927": { "node_id": "node_2927", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93318474151545, "fos_buckling": 1.543745846057813, "fos_yielding": 4.251138916054907, "deflection": 0.0020070567032172307, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.002221)" }, "parent_node_id": "node_2926", "improvement_over_parent": null }, "node_2928": { "node_id": "node_2928", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2927", "improvement_over_parent": null }, "node_2929": { "node_id": "node_2929", "content": "INITIAL DESIGN (Trace 416)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0022)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\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_2930": { "node_id": "node_2930", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0022)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n\nPerformance:\n Mass: 124.48 kg\n Factor of Safety: 0.28\n Max Deflection: 8.12e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 124.48066576823447, "fos_buckling": 0.277867969518301, "fos_yielding": 1.483614411762189, "deflection": 0.008119224144580736, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.003373)" }, "parent_node_id": "node_2929", "improvement_over_parent": null }, "node_2931": { "node_id": "node_2931", "content": "MODIFICATION: Increase 12 thickness by 51%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0022)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0050)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n\nPerformance:\n Mass: 130.40 kg\n Factor of Safety: 0.28\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": 130.40083157911005, "fos_buckling": 0.27758877030184814, "fos_yielding": 1.4830162672195282, "deflection": 0.007523637378337932, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.508)" }, "parent_node_id": "node_2930", "improvement_over_parent": null }, "node_2932": { "node_id": "node_2932", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0022)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0050)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0047)]\n\nPerformance:\n Mass: 157.03 kg\n Factor of Safety: 0.85\n Max Deflection: 3.16e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 157.02941563006812, "fos_buckling": 0.8484883492756431, "fos_yielding": 2.675941022096348, "deflection": 0.00316227479248191, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.004687)" }, "parent_node_id": "node_2931", "improvement_over_parent": null }, "node_2933": { "node_id": "node_2933", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0059)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n\nPerformance:\n Mass: 184.52 kg\n Factor of Safety: 0.97\n Max Deflection: 2.69e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 184.51659038167912, "fos_buckling": 0.9723998722416087, "fos_yielding": 3.1613877674192046, "deflection": 0.0026899105494449698, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.193)" }, "parent_node_id": "node_2932", "improvement_over_parent": null }, "node_2934": { "node_id": "node_2934", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0059)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n\nPerformance:\n Mass: 203.62 kg\n Factor of Safety: 1.43\n Max Deflection: 2.02e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 203.62030970447253, "fos_buckling": 1.4314012076078022, "fos_yielding": 4.269393649220755, "deflection": 0.0020233020419713546, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.004368)" }, "parent_node_id": "node_2933", "improvement_over_parent": null }, "node_2935": { "node_id": "node_2935", "content": "MODIFICATION: Increase 7 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0059)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n\nPerformance:\n Mass: 205.78 kg\n Factor of Safety: 1.47\n Max Deflection: 2.01e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 205.77569070893506, "fos_buckling": 1.4660198346812607, "fos_yielding": 4.221035214102628, "deflection": 0.002012919244759423, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.316)" }, "parent_node_id": "node_2934", "improvement_over_parent": null }, "node_2936": { "node_id": "node_2936", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2935", "improvement_over_parent": null }, "node_2937": { "node_id": "node_2937", "content": "INITIAL DESIGN (Trace 417)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0032)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0023)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0023)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0022)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0027)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0038)]\n\nPerformance:\n Mass: 137.61 kg\n Factor of Safety: 0.96\n Max Deflection: 2.93e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 137.61286492911807, "fos_buckling": 0.9633440422725196, "fos_yielding": 2.9820079792924665, "deflection": 0.0029275903762462346, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2938": { "node_id": "node_2938", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n\nPerformance:\n Mass: 153.82 kg\n Factor of Safety: 1.07\n Max Deflection: 2.62e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 153.8173500206026, "fos_buckling": 1.0666982720541267, "fos_yielding": 3.329194696172373, "deflection": 0.0026218470124583794, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.126)" }, "parent_node_id": "node_2937", "improvement_over_parent": null }, "node_2939": { "node_id": "node_2939", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 196.97 kg\n Factor of Safety: 1.33\n Max Deflection: 2.05e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 196.97038038390548, "fos_buckling": 1.3313787496064595, "fos_yielding": 4.249581262536121, "deflection": 0.0020530340950878656, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.307)" }, "parent_node_id": "node_2938", "improvement_over_parent": null }, "node_2940": { "node_id": "node_2940", "content": "MODIFICATION: Increase 12 thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 201.06 kg\n Factor of Safety: 1.53\n Max Deflection: 2.02e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 201.05887634720094, "fos_buckling": 1.5346582426336963, "fos_yielding": 4.262576022310338, "deflection": 0.002019330021971121, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.299)" }, "parent_node_id": "node_2939", "improvement_over_parent": null }, "node_2941": { "node_id": "node_2941", "content": "MODIFICATION: Increase 13 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.89 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.89190254586117, "fos_buckling": 1.543388807715956, "fos_yielding": 4.25152899866956, "deflection": 0.002007434334299994, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.244)" }, "parent_node_id": "node_2940", "improvement_over_parent": null }, "node_2942": { "node_id": "node_2942", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2941", "improvement_over_parent": null }, "node_2943": { "node_id": "node_2943", "content": "INITIAL DESIGN (Trace 418)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0048)]\n\nPerformance:\n Mass: 157.40 kg\n Factor of Safety: 0.30\n Max Deflection: 3.66e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 157.40114990665109, "fos_buckling": 0.30302671205422854, "fos_yielding": 2.205056184482068, "deflection": 0.0036648285831468205, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2944": { "node_id": "node_2944", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 180.77 kg\n Factor of Safety: 0.34\n Max Deflection: 3.20e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 180.7653462834466, "fos_buckling": 0.33915065750279944, "fos_yielding": 2.5253991605034987, "deflection": 0.0031988023074239463, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.163)" }, "parent_node_id": "node_2943", "improvement_over_parent": null }, "node_2945": { "node_id": "node_2945", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n\nPerformance:\n Mass: 202.97 kg\n Factor of Safety: 1.48\n Max Deflection: 2.01e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 202.9683309671604, "fos_buckling": 1.484316883275647, "fos_yielding": 4.216914884040409, "deflection": 0.0020140570501627647, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.004709)" }, "parent_node_id": "node_2944", "improvement_over_parent": null }, "node_2946": { "node_id": "node_2946", "content": "MODIFICATION: Increase 5 thickness by 34%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n\nPerformance:\n Mass: 203.87 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.8719794939551, "fos_buckling": 1.543258414916227, "fos_yielding": 4.2510959292202255, "deflection": 0.0020076061976120833, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.339)" }, "parent_node_id": "node_2945", "improvement_over_parent": null }, "node_2947": { "node_id": "node_2947", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2946", "improvement_over_parent": null }, "node_2948": { "node_id": "node_2948", "content": "INITIAL DESIGN (Trace 419)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0045)]\n\nPerformance:\n Mass: 122.71 kg\n Factor of Safety: 0.17\n Max Deflection: 8.88e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 122.71396347842855, "fos_buckling": 0.16943097892331457, "fos_yielding": 0.8973032962101051, "deflection": 8884206632798.06, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2949": { "node_id": "node_2949", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0045)]\n M12: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n\nPerformance:\n Mass: 131.99 kg\n Factor of Safety: 0.29\n Max Deflection: 8.59e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 131.98804341404116, "fos_buckling": 0.28872208918552894, "fos_yielding": 1.9136309352255267, "deflection": 0.008590465243612552, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.002706)" }, "parent_node_id": "node_2948", "improvement_over_parent": null }, "node_2950": { "node_id": "node_2950", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0045)]\n M12: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n\nPerformance:\n Mass: 137.91 kg\n Factor of Safety: 0.29\n Max Deflection: 3.78e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 137.91076206474216, "fos_buckling": 0.28837568132248453, "fos_yielding": 2.0795337740584947, "deflection": 0.0037778859936422396, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.002865)" }, "parent_node_id": "node_2949", "improvement_over_parent": null }, "node_2951": { "node_id": "node_2951", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0045)]\n M12: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n\nPerformance:\n Mass: 148.82 kg\n Factor of Safety: 0.29\n Max Deflection: 3.88e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 148.8191011159317, "fos_buckling": 0.2879514787387588, "fos_yielding": 2.0764747657681455, "deflection": 0.003883430545687813, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.003237)" }, "parent_node_id": "node_2950", "improvement_over_parent": null }, "node_2952": { "node_id": "node_2952", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0045)]\n M12: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0038)]\n\nPerformance:\n Mass: 167.00 kg\n Factor of Safety: 1.31\n Max Deflection: 2.45e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 167.00159101421488, "fos_buckling": 1.3083028400158856, "fos_yielding": 3.4901212249155207, "deflection": 0.0024451365705600594, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.003789)" }, "parent_node_id": "node_2951", "improvement_over_parent": null }, "node_2953": { "node_id": "node_2953", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M12: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n\nPerformance:\n Mass: 203.81 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.80850276608152, "fos_buckling": 1.5429130031739, "fos_yielding": 4.2499289852547015, "deflection": 0.002008191806054449, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.242)" }, "parent_node_id": "node_2952", "improvement_over_parent": null }, "node_2954": { "node_id": "node_2954", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2953", "improvement_over_parent": null }, "node_2955": { "node_id": "node_2955", "content": "INITIAL DESIGN (Trace 420)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0013)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0015)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0030)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0028)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0020)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0023)]\n\nPerformance:\n Mass: 100.91 kg\n Factor of Safety: 0.21\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": 100.9054188277315, "fos_buckling": 0.2080487214804353, "fos_yielding": 1.065076659995276, "deflection": 0.01214279159092946, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2956": { "node_id": "node_2956", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0013)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0015)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0030)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0028)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0020)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0023)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0033)]\n\nPerformance:\n Mass: 120.00 kg\n Factor of Safety: 0.31\n Max Deflection: 8.44e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 120.0044891357393, "fos_buckling": 0.31065011468092885, "fos_yielding": 1.4264708343913806, "deflection": 0.008440600791875537, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.003288)" }, "parent_node_id": "node_2955", "improvement_over_parent": null }, "node_2957": { "node_id": "node_2957", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0013)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0015)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0030)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0028)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0020)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0023)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0033)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0021)]\n\nPerformance:\n Mass: 124.42 kg\n Factor of Safety: 1.01\n Max Deflection: 3.27e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 124.41707914450005, "fos_buckling": 1.0128402118117683, "fos_yielding": 2.6068928191170553, "deflection": 0.003273260975264065, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.002094)" }, "parent_node_id": "node_2956", "improvement_over_parent": null }, "node_2958": { "node_id": "node_2958", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0017)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0031)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0022)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0026)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0037)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0024)]\n\nPerformance:\n Mass: 139.65 kg\n Factor of Safety: 1.12\n Max Deflection: 2.92e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 139.6494866159783, "fos_buckling": 1.121507131816291, "fos_yielding": 2.923368851359263, "deflection": 0.0029190267807662354, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.130)" }, "parent_node_id": "node_2957", "improvement_over_parent": null }, "node_2959": { "node_id": "node_2959", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0042)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0038)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0045)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n\nPerformance:\n Mass: 168.69 kg\n Factor of Safety: 1.32\n Max Deflection: 2.42e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 168.6864224469757, "fos_buckling": 1.3194815860047433, "fos_yielding": 3.525047683048408, "deflection": 0.002420977182450998, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.224)" }, "parent_node_id": "node_2958", "improvement_over_parent": null }, "node_2960": { "node_id": "node_2960", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n\nPerformance:\n Mass: 204.01 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.01457129006502, "fos_buckling": 1.5442005101141147, "fos_yielding": 4.254258700562198, "deflection": 0.0020061942743111656, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.230)" }, "parent_node_id": "node_2959", "improvement_over_parent": null }, "node_2961": { "node_id": "node_2961", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2960", "improvement_over_parent": null }, "node_2962": { "node_id": "node_2962", "content": "INITIAL DESIGN (Trace 421)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0038)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0045)]\n\nPerformance:\n Mass: 137.88 kg\n Factor of Safety: 0.96\n Max Deflection: 3.18e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 137.881539954352, "fos_buckling": 0.9579508818385482, "fos_yielding": 2.6873879583896416, "deflection": 0.003181850068213626, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2963": { "node_id": "node_2963", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0038)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0045)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n\nPerformance:\n Mass: 153.49 kg\n Factor of Safety: 1.08\n Max Deflection: 2.66e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 153.49448573644068, "fos_buckling": 1.076267647167075, "fos_yielding": 2.870304312829786, "deflection": 0.0026648257637459836, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.003507)" }, "parent_node_id": "node_2962", "improvement_over_parent": null }, "node_2964": { "node_id": "node_2964", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0038)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0045)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n\nPerformance:\n Mass: 166.12 kg\n Factor of Safety: 1.13\n Max Deflection: 2.46e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 166.12305704736292, "fos_buckling": 1.133414735184005, "fos_yielding": 3.482624815442093, "deflection": 0.0024565879497514495, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003154)" }, "parent_node_id": "node_2963", "improvement_over_parent": null }, "node_2965": { "node_id": "node_2965", "content": "MODIFICATION: Increase 3 thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0038)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0045)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n\nPerformance:\n Mass: 166.67 kg\n Factor of Safety: 1.31\n Max Deflection: 2.45e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 166.66643476970185, "fos_buckling": 1.306095835925856, "fos_yielding": 3.4832344172890015, "deflection": 0.0024500207683675556, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.333)" }, "parent_node_id": "node_2964", "improvement_over_parent": null }, "node_2966": { "node_id": "node_2966", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 203.85 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.85452058287464, "fos_buckling": 1.5432145188780917, "fos_yielding": 4.250933014486613, "deflection": 0.0020077597248470947, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.245)" }, "parent_node_id": "node_2965", "improvement_over_parent": null }, "node_2967": { "node_id": "node_2967", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2966", "improvement_over_parent": null }, "node_2968": { "node_id": "node_2968", "content": "INITIAL DESIGN (Trace 422)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 162.63 kg\n Factor of Safety: 0.34\n Max Deflection: 3.63e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 162.62898414145877, "fos_buckling": 0.3405321996491949, "fos_yielding": 2.5358405592649413, "deflection": 0.003626145543981915, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2969": { "node_id": "node_2969", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0032)]\n\nPerformance:\n Mass: 178.35 kg\n Factor of Safety: 0.99\n Max Deflection: 2.58e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 178.3525351848532, "fos_buckling": 0.9922284886139389, "fos_yielding": 3.2795738744291714, "deflection": 0.002584676598570083, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.003243)" }, "parent_node_id": "node_2968", "improvement_over_parent": null }, "node_2970": { "node_id": "node_2970", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0032)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n\nPerformance:\n Mass: 197.46 kg\n Factor of Safety: 1.28\n Max Deflection: 2.06e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 197.4562545076466, "fos_buckling": 1.280498343524751, "fos_yielding": 4.2581448342451385, "deflection": 0.002062326332804031, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.004368)" }, "parent_node_id": "node_2969", "improvement_over_parent": null }, "node_2971": { "node_id": "node_2971", "content": "MODIFICATION: Increase 10 thickness by 45%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0049)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0032)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n\nPerformance:\n Mass: 201.89 kg\n Factor of Safety: 1.16\n Max Deflection: 2.04e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 201.8901348002274, "fos_buckling": 1.1603324429134807, "fos_yielding": 4.259908909952602, "deflection": 0.0020437362610903963, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.451)" }, "parent_node_id": "node_2970", "improvement_over_parent": null }, "node_2972": { "node_id": "node_2972", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2971", "improvement_over_parent": null }, "node_2973": { "node_id": "node_2973", "content": "INITIAL DESIGN (Trace 423)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0031)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0029)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0021)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0016)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0016)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0034)]\n\nPerformance:\n Mass: 113.36 kg\n Factor of Safety: 0.65\n Max Deflection: 3.96e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 113.35815731120127, "fos_buckling": 0.650071519348347, "fos_yielding": 1.8313955165074742, "deflection": 0.003959737261458581, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2974": { "node_id": "node_2974", "content": "MODIFICATION: Increase 13 thickness by 50%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0031)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0029)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0021)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0016)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0024)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0034)]\n\nPerformance:\n Mass: 116.48 kg\n Factor of Safety: 0.65\n Max Deflection: 3.96e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 116.48134010302186, "fos_buckling": 0.6502655927428963, "fos_yielding": 1.8311260985108675, "deflection": 0.003959950284501493, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.497)" }, "parent_node_id": "node_2973", "improvement_over_parent": null }, "node_2975": { "node_id": "node_2975", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nPerformance:\n Mass: 148.20 kg\n Factor of Safety: 0.80\n Max Deflection: 3.12e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 148.20191605320863, "fos_buckling": 0.8035898122984922, "fos_yielding": 2.3325782872615073, "deflection": 0.003116505003556137, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.292)" }, "parent_node_id": "node_2974", "improvement_over_parent": null }, "node_2976": { "node_id": "node_2976", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 184.61 kg\n Factor of Safety: 0.97\n Max Deflection: 2.51e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 184.60641923497553, "fos_buckling": 0.9670246566689621, "fos_yielding": 2.910144864992767, "deflection": 0.0025057185999069562, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.269)" }, "parent_node_id": "node_2975", "improvement_over_parent": null }, "node_2977": { "node_id": "node_2977", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 197.93 kg\n Factor of Safety: 1.48\n Max Deflection: 2.08e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 197.92995330662077, "fos_buckling": 1.478065465720984, "fos_yielding": 3.5898357235590983, "deflection": 0.0020758595116851, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.004024)" }, "parent_node_id": "node_2976", "improvement_over_parent": null }, "node_2978": { "node_id": "node_2978", "content": "MODIFICATION: Increase 2 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 199.24 kg\n Factor of Safety: 1.48\n Max Deflection: 2.03e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 199.24454010270293, "fos_buckling": 1.4848059584545121, "fos_yielding": 4.243362939366725, "deflection": 0.0020289211050001353, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.225)" }, "parent_node_id": "node_2977", "improvement_over_parent": null }, "node_2979": { "node_id": "node_2979", "content": "MODIFICATION: Increase 13 thickness by 47%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0058)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 205.57 kg\n Factor of Safety: 1.47\n Max Deflection: 2.01e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 205.57326011394596, "fos_buckling": 1.4734272311700685, "fos_yielding": 4.229627633545735, "deflection": 0.00201245091148968, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.473)" }, "parent_node_id": "node_2978", "improvement_over_parent": null }, "node_2980": { "node_id": "node_2980", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2979", "improvement_over_parent": null }, "node_2981": { "node_id": "node_2981", "content": "INITIAL DESIGN (Trace 424)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0019)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n\nPerformance:\n Mass: 144.77 kg\n Factor of Safety: 0.80\n Max Deflection: 3.11e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 144.76777022365187, "fos_buckling": 0.7965373970106063, "fos_yielding": 2.7267334919715043, "deflection": 0.003110466313739716, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2982": { "node_id": "node_2982", "content": "MODIFICATION: Increase 13 thickness by 56%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n\nPerformance:\n Mass: 148.94 kg\n Factor of Safety: 0.80\n Max Deflection: 3.11e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 148.9380801814917, "fos_buckling": 0.7979204256780144, "fos_yielding": 2.724462554821056, "deflection": 0.0031106690665029953, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.565)" }, "parent_node_id": "node_2981", "improvement_over_parent": null }, "node_2983": { "node_id": "node_2983", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0020)]\n\nPerformance:\n Mass: 156.00 kg\n Factor of Safety: 1.08\n Max Deflection: 2.62e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 155.9986387672751, "fos_buckling": 1.0767958925656798, "fos_yielding": 3.2501482395939956, "deflection": 0.002623263768922033, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.002041)" }, "parent_node_id": "node_2982", "improvement_over_parent": null }, "node_2984": { "node_id": "node_2984", "content": "MODIFICATION: Increase 8 thickness by 51%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0020)]\n\nPerformance:\n Mass: 159.41 kg\n Factor of Safety: 1.05\n Max Deflection: 2.61e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 159.4084970396496, "fos_buckling": 1.0488798384421998, "fos_yielding": 3.293684815613369, "deflection": 0.0026103347510302954, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.508)" }, "parent_node_id": "node_2983", "improvement_over_parent": null }, "node_2985": { "node_id": "node_2985", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0051)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n\nPerformance:\n Mass: 203.89 kg\n Factor of Safety: 1.32\n Max Deflection: 2.04e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 203.89211726851238, "fos_buckling": 1.316515539051055, "fos_yielding": 4.205401145282538, "deflection": 0.0020443524552113544, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.307)" }, "parent_node_id": "node_2984", "improvement_over_parent": null }, "node_2986": { "node_id": "node_2986", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2985", "improvement_over_parent": null }, "node_2987": { "node_id": "node_2987", "content": "INITIAL DESIGN (Trace 425)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0025)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 184.14 kg\n Factor of Safety: 0.93\n Max Deflection: 2.23e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 184.13795526316932, "fos_buckling": 0.9324918040559582, "fos_yielding": 3.3861746337438325, "deflection": 0.0022329138730693802, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2988": { "node_id": "node_2988", "content": "MODIFICATION: Increase 2 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0025)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 185.56 kg\n Factor of Safety: 0.94\n Max Deflection: 2.18e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 185.56323351961225, "fos_buckling": 0.9372403842353787, "fos_yielding": 3.3819373610117323, "deflection": 0.00217882541742234, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.248)" }, "parent_node_id": "node_2987", "improvement_over_parent": null }, "node_2989": { "node_id": "node_2989", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0025)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n\nPerformance:\n Mass: 195.20 kg\n Factor of Safety: 1.16\n Max Deflection: 2.11e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 195.20499844189527, "fos_buckling": 1.1631607635872536, "fos_yielding": 3.7609275316579605, "deflection": 0.0021123747275631675, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.003423)" }, "parent_node_id": "node_2988", "improvement_over_parent": null }, "node_2990": { "node_id": "node_2990", "content": "MODIFICATION: Increase 4 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0025)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n\nPerformance:\n Mass: 196.31 kg\n Factor of Safety: 1.20\n Max Deflection: 2.08e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 196.30928872089714, "fos_buckling": 1.1989862395495445, "fos_yielding": 4.222343562798644, "deflection": 0.0020766958015682254, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.198)" }, "parent_node_id": "node_2989", "improvement_over_parent": null }, "node_2991": { "node_id": "node_2991", "content": "MODIFICATION: Increase 12 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0025)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0049)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n\nPerformance:\n Mass: 199.76 kg\n Factor of Safety: 1.26\n Max Deflection: 2.06e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 199.76160719145935, "fos_buckling": 1.257819908004355, "fos_yielding": 4.211793951835134, "deflection": 0.002060263128072174, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.250)" }, "parent_node_id": "node_2990", "improvement_over_parent": null }, "node_2992": { "node_id": "node_2992", "content": "MODIFICATION: Increase 12 thickness by 38%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0025)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0068)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n\nPerformance:\n Mass: 205.88 kg\n Factor of Safety: 1.34\n Max Deflection: 2.04e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 205.87865299914148, "fos_buckling": 1.337836249996759, "fos_yielding": 4.198384391852186, "deflection": 0.0020405704819482125, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.383)" }, "parent_node_id": "node_2991", "improvement_over_parent": null }, "node_2993": { "node_id": "node_2993", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2992", "improvement_over_parent": null }, "node_2994": { "node_id": "node_2994", "content": "INITIAL DESIGN (Trace 426)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0030)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0021)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0025)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0036)]\n\nPerformance:\n Mass: 125.59 kg\n Factor of Safety: 0.67\n Max Deflection: 3.40e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 125.5898899145992, "fos_buckling": 0.6714770624380414, "fos_yielding": 2.3200017685235137, "deflection": 0.0033955282824587704, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2995": { "node_id": "node_2995", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0037)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0025)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0032)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0029)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0041)]\n\nPerformance:\n Mass: 142.51 kg\n Factor of Safety: 0.75\n Max Deflection: 3.00e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 142.51229103800398, "fos_buckling": 0.7491586798026301, "fos_yielding": 2.6297993428096444, "deflection": 0.0029954717265904926, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.144)" }, "parent_node_id": "node_2994", "improvement_over_parent": null }, "node_2996": { "node_id": "node_2996", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0037)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0025)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0032)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0029)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0041)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n\nPerformance:\n Mass: 149.73 kg\n Factor of Safety: 1.00\n Max Deflection: 2.90e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 149.72950667976738, "fos_buckling": 0.9974753279475369, "fos_yielding": 2.6285095270295376, "deflection": 0.0029028556516525836, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.002501)" }, "parent_node_id": "node_2995", "improvement_over_parent": null }, "node_2997": { "node_id": "node_2997", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0037)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0025)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0032)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0029)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0041)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0019)]\n\nPerformance:\n Mass: 152.60 kg\n Factor of Safety: 1.21\n Max Deflection: 2.67e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 152.598451089335, "fos_buckling": 1.211269361022389, "fos_yielding": 3.1918915345982235, "deflection": 0.002673558429377335, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.001894)" }, "parent_node_id": "node_2996", "improvement_over_parent": null }, "node_2998": { "node_id": "node_2998", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0045)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0041)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0049)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n\nPerformance:\n Mass: 180.47 kg\n Factor of Safety: 1.40\n Max Deflection: 2.26e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 180.46705972693715, "fos_buckling": 1.3963704219686504, "fos_yielding": 3.768493834391516, "deflection": 0.002264658205960135, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.198)" }, "parent_node_id": "node_2997", "improvement_over_parent": null }, "node_2999": { "node_id": "node_2999", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n\nPerformance:\n Mass: 203.95 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.9538889613806, "fos_buckling": 1.5438140281601702, "fos_yielding": 4.252939044155818, "deflection": 0.002006821570382376, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.143)" }, "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "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 427)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0036)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0024)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0028)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0040)]\n\nPerformance:\n Mass: 140.96 kg\n Factor of Safety: 0.70\n Max Deflection: 2.91e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 140.95503621657585, "fos_buckling": 0.6976277359239937, "fos_yielding": 2.9451279817639744, "deflection": 0.0029149833238567317, "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 all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0042)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0038)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0046)]\n\nPerformance:\n Mass: 159.93 kg\n Factor of Safety: 0.78\n Max Deflection: 2.57e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 159.92731838960907, "fos_buckling": 0.7764457202649361, "fos_yielding": 3.3363768006842967, "deflection": 0.0025718534684350514, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.145)" }, "parent_node_id": "node_3001", "improvement_over_parent": null }, "node_3003": { "node_id": "node_3003", "content": "MODIFICATION: Increase 1 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0042)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0038)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0046)]\n\nPerformance:\n Mass: 160.96 kg\n Factor of Safety: 0.76\n Max Deflection: 2.53e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 160.96247481622385, "fos_buckling": 0.7572724496197326, "fos_yielding": 3.3551734157390594, "deflection": 0.002530761002075039, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.208)" }, "parent_node_id": "node_3002", "improvement_over_parent": null }, "node_3004": { "node_id": "node_3004", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 193.95 kg\n Factor of Safety: 0.88\n Max Deflection: 2.10e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 193.94746200399484, "fos_buckling": 0.8824500941187411, "fos_yielding": 4.031796519423754, "deflection": 0.002104547029084746, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.225)" }, "parent_node_id": "node_3003", "improvement_over_parent": null }, "node_3005": { "node_id": "node_3005", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n\nPerformance:\n Mass: 203.59 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.58922692627786, "fos_buckling": 1.5415145896009768, "fos_yielding": 4.245203112928964, "deflection": 0.0020104969133343292, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.003423)" }, "parent_node_id": "node_3004", "improvement_over_parent": null }, "node_3006": { "node_id": "node_3006", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3005", "improvement_over_parent": null }, "node_3007": { "node_id": "node_3007", "content": "INITIAL DESIGN (Trace 428)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n\nPerformance:\n Mass: 150.04 kg\n Factor of Safety: 1.03\n Max Deflection: 2.72e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 150.03798066601172, "fos_buckling": 1.0305242820475253, "fos_yielding": 3.3084866575913274, "deflection": 0.0027232436417863994, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3008": { "node_id": "node_3008", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0021)]\n\nPerformance:\n Mass: 157.19 kg\n Factor of Safety: 1.25\n Max Deflection: 2.58e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 157.18621411632313, "fos_buckling": 1.253484226131226, "fos_yielding": 3.3207350124325847, "deflection": 0.0025808819088130285, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.002050)" }, "parent_node_id": "node_3007", "improvement_over_parent": null }, "node_3009": { "node_id": "node_3009", "content": "MODIFICATION: Increase 11 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0042)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0021)]\n\nPerformance:\n Mass: 160.59 kg\n Factor of Safety: 1.26\n Max Deflection: 2.55e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 160.59083374098523, "fos_buckling": 1.2564216521922817, "fos_yielding": 3.3285168523345363, "deflection": 0.0025510157796786643, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.250)" }, "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0055)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n\nPerformance:\n Mass: 206.00 kg\n Factor of Safety: 1.55\n Max Deflection: 1.99e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 205.99611441311444, "fos_buckling": 1.5462847322661866, "fos_yielding": 4.2594534501424, "deflection": 0.001994122510692007, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.311)" }, "parent_node_id": "node_3009", "improvement_over_parent": null }, "node_3011": { "node_id": "node_3011", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3010", "improvement_over_parent": null }, "node_3012": { "node_id": "node_3012", "content": "INITIAL DESIGN (Trace 429)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0048)]\n\nPerformance:\n Mass: 160.06 kg\n Factor of Safety: 0.85\n Max Deflection: 2.61e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 160.0583967904044, "fos_buckling": 0.8476089656708776, "fos_yielding": 3.031304487842177, "deflection": 0.0026064978529901825, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3013": { "node_id": "node_3013", "content": "MODIFICATION: Increase 4 thickness by 57%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0048)]\n\nPerformance:\n Mass: 162.23 kg\n Factor of Safety: 0.85\n Max Deflection: 2.55e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 162.23005790790256, "fos_buckling": 0.8476089656708776, "fos_yielding": 3.030633637317913, "deflection": 0.0025495809431508, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.575)" }, "parent_node_id": "node_3012", "improvement_over_parent": null }, "node_3014": { "node_id": "node_3014", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0048)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n\nPerformance:\n Mass: 175.69 kg\n Factor of Safety: 1.36\n Max Deflection: 2.32e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 175.69456671772397, "fos_buckling": 1.3617231739325268, "fos_yielding": 3.6616379946027715, "deflection": 0.002323058548211093, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.003364)" }, "parent_node_id": "node_3013", "improvement_over_parent": null }, "node_3015": { "node_id": "node_3015", "content": "MODIFICATION: Increase 5 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0048)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n\nPerformance:\n Mass: 176.25 kg\n Factor of Safety: 1.37\n Max Deflection: 2.32e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 176.25425055405603, "fos_buckling": 1.3690872417491176, "fos_yielding": 3.6814397803315058, "deflection": 0.0023180851098190624, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.220)" }, "parent_node_id": "node_3014", "improvement_over_parent": null }, "node_3016": { "node_id": "node_3016", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n\nPerformance:\n Mass: 203.85 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.85158353105436, "fos_buckling": 1.5431767138588617, "fos_yielding": 4.2508149052050666, "deflection": 0.0020077397020551407, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.172)" }, "parent_node_id": "node_3015", "improvement_over_parent": null }, "node_3017": { "node_id": "node_3017", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3016", "improvement_over_parent": null }, "node_3018": { "node_id": "node_3018", "content": "INITIAL DESIGN (Trace 430)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0014)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0016)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0017)]\n M3: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0023)]\n M4: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0015)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0018)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0015)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0021)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0015)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0020)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0018)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0018)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0025)]\n\nPerformance:\n Mass: 89.45 kg\n Factor of Safety: 0.25\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": 89.45289175649309, "fos_buckling": 0.245746882425412, "fos_yielding": 0.9918134907042694, "deflection": 0.013776827595477308, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3019": { "node_id": "node_3019", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M3: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0030)]\n M4: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0028)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0020)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0023)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0033)]\n\nPerformance:\n Mass: 115.52 kg\n Factor of Safety: 0.31\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": 115.522372201934, "fos_buckling": 0.30969547798844527, "fos_yielding": 1.2778325793660574, "deflection": 0.010694699262134403, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.307)" }, "parent_node_id": "node_3018", "improvement_over_parent": null }, "node_3020": { "node_id": "node_3020", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M3: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0030)]\n M4: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0028)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0020)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0023)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0033)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0015)]\n\nPerformance:\n Mass: 117.85 kg\n Factor of Safety: 0.31\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": 117.85137163018742, "fos_buckling": 0.3096463574311593, "fos_yielding": 1.27763057174676, "deflection": 0.010016534588608237, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.001518)" }, "parent_node_id": "node_3019", "improvement_over_parent": null }, "node_3021": { "node_id": "node_3021", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M3: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0034)]\n M4: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0031)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0022)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0026)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0037)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0017)]\n\nPerformance:\n Mass: 131.07 kg\n Factor of Safety: 0.34\n Max Deflection: 9.02e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 131.07031550856706, "fos_buckling": 0.34014322004624653, "fos_yielding": 1.4192452153148654, "deflection": 0.009017826147759195, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.119)" }, "parent_node_id": "node_3020", "improvement_over_parent": null }, "node_3022": { "node_id": "node_3022", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M4: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0046)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n\nPerformance:\n Mass: 163.38 kg\n Factor of Safety: 0.41\n Max Deflection: 7.26e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 163.38470597574587, "fos_buckling": 0.41113447241656637, "fos_yielding": 1.7640134137056611, "deflection": 0.007256818794802732, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.266)" }, "parent_node_id": "node_3021", "improvement_over_parent": null }, "node_3023": { "node_id": "node_3023", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M4: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0046)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n\nPerformance:\n Mass: 165.75 kg\n Factor of Safety: 0.41\n Max Deflection: 6.14e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 165.75372274473196, "fos_buckling": 0.4111014040013239, "fos_yielding": 1.9631343474073275, "deflection": 0.006136444327945596, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.001841)" }, "parent_node_id": "node_3022", "improvement_over_parent": null }, "node_3024": { "node_id": "node_3024", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M4: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n\nPerformance:\n Mass: 196.84 kg\n Factor of Safety: 0.47\n Max Deflection: 5.18e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 196.83981298308314, "fos_buckling": 0.4737607358949498, "fos_yielding": 2.3255619419840152, "deflection": 0.005181874026828443, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.206)" }, "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M4: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n\nPerformance:\n Mass: 204.07 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.07095877129154, "fos_buckling": 1.5445981934349922, "fos_yielding": 4.255594208484107, "deflection": 0.0020057261093701785, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.003560)" }, "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "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 431)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0026)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0038)]\n\nPerformance:\n Mass: 168.83 kg\n Factor of Safety: 0.17\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": 168.83110466756526, "fos_buckling": 0.17069971960002686, "fos_yielding": 1.2711493152859745, "deflection": 0.012772479210892038, "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: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0026)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0038)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n\nPerformance:\n Mass: 178.47 kg\n Factor of Safety: 0.47\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": 178.47286958984827, "fos_buckling": 0.4740728273510893, "fos_yielding": 2.3267891047511826, "deflection": 0.006082137358239348, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.003423)" }, "parent_node_id": "node_3027", "improvement_over_parent": null }, "node_3029": { "node_id": "node_3029", "content": "MODIFICATION: Increase 12 thickness by 49%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0026)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n\nPerformance:\n Mass: 188.27 kg\n Factor of Safety: 0.47\n Max Deflection: 5.72e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 188.26573327295085, "fos_buckling": 0.47375800602859813, "fos_yielding": 2.3252493402243846, "deflection": 0.005721831683539996, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.495)" }, "parent_node_id": "node_3028", "improvement_over_parent": null }, "node_3030": { "node_id": "node_3030", "content": "MODIFICATION: Increase 13 thickness by 48%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0026)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0051)]\n\nPerformance:\n Mass: 192.30 kg\n Factor of Safety: 0.47\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": 192.30277881297044, "fos_buckling": 0.47362834463051806, "fos_yielding": 2.3239813559623395, "deflection": 0.005524459693204675, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.484)" }, "parent_node_id": "node_3029", "improvement_over_parent": null }, "node_3031": { "node_id": "node_3031", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0026)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0051)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n\nPerformance:\n Mass: 199.53 kg\n Factor of Safety: 1.28\n Max Deflection: 2.17e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 199.53392460117885, "fos_buckling": 1.2778346653388757, "fos_yielding": 3.5018452903659862, "deflection": 0.002166521733795413, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.003560)" }, "parent_node_id": "node_3030", "improvement_over_parent": null }, "node_3032": { "node_id": "node_3032", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0026)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0051)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n\nPerformance:\n Mass: 203.37 kg\n Factor of Safety: 1.51\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.36633336789762, "fos_buckling": 1.5145383848409144, "fos_yielding": 4.150520606378413, "deflection": 0.0020141426009397606, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002592)" }, "parent_node_id": "node_3031", "improvement_over_parent": null }, "node_3033": { "node_id": "node_3033", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3032", "improvement_over_parent": null }, "node_3034": { "node_id": "node_3034", "content": "INITIAL DESIGN (Trace 432)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n\nPerformance:\n Mass: 151.25 kg\n Factor of Safety: 0.26\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": 151.2541973831126, "fos_buckling": 0.26481456874062165, "fos_yielding": 1.3986452248621306, "deflection": 0.006323135568292637, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3035": { "node_id": "node_3035", "content": "MODIFICATION: Increase 5 thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n\nPerformance:\n Mass: 152.01 kg\n Factor of Safety: 0.32\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": 152.0083461871901, "fos_buckling": 0.31748500308896643, "fos_yielding": 1.741230128864946, "deflection": 0.006152582194020171, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.269)" }, "parent_node_id": "node_3034", "improvement_over_parent": null }, "node_3036": { "node_id": "node_3036", "content": "MODIFICATION: Increase 13 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 155.19 kg\n Factor of Safety: 0.32\n Max Deflection: 5.73e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 155.19073853319654, "fos_buckling": 0.31731378523200066, "fos_yielding": 1.7408534097529254, "deflection": 0.005727211743563753, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.285)" }, "parent_node_id": "node_3035", "improvement_over_parent": null }, "node_3037": { "node_id": "node_3037", "content": "MODIFICATION: Increase 7 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 157.03 kg\n Factor of Safety: 0.32\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": 157.02999475797392, "fos_buckling": 0.31727422952564943, "fos_yielding": 1.7406357601418991, "deflection": 0.0057002154467662635, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.259)" }, "parent_node_id": "node_3036", "improvement_over_parent": null }, "node_3038": { "node_id": "node_3038", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n\nPerformance:\n Mass: 188.34 kg\n Factor of Safety: 0.96\n Max Deflection: 2.20e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 188.33954510290275, "fos_buckling": 0.9570465419117066, "fos_yielding": 3.5010905763042497, "deflection": 0.0022010316624481827, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.005592)" }, "parent_node_id": "node_3037", "improvement_over_parent": null }, "node_3039": { "node_id": "node_3039", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n\nPerformance:\n Mass: 203.92 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.9208817353553, "fos_buckling": 1.5437607778242095, "fos_yielding": 4.252297771081239, "deflection": 0.002006987427192697, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.003945)" }, "parent_node_id": "node_3038", "improvement_over_parent": null }, "node_3040": { "node_id": "node_3040", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3039", "improvement_over_parent": null }, "node_3041": { "node_id": "node_3041", "content": "INITIAL DESIGN (Trace 433)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0032)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0028)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0048)]\n\nPerformance:\n Mass: 167.18 kg\n Factor of Safety: 1.23\n Max Deflection: 2.48e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 167.17717215822475, "fos_buckling": 1.2300580559873846, "fos_yielding": 3.024071906309293, "deflection": 0.0024756046165212513, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3042": { "node_id": "node_3042", "content": "MODIFICATION: Increase 2 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0032)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0028)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0048)]\n\nPerformance:\n Mass: 168.34 kg\n Factor of Safety: 1.23\n Max Deflection: 2.42e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 168.3435777061642, "fos_buckling": 1.2291099671677186, "fos_yielding": 3.197919261607539, "deflection": 0.002417096263253185, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.227)" }, "parent_node_id": "node_3041", "improvement_over_parent": null }, "node_3043": { "node_id": "node_3043", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 193.90 kg\n Factor of Safety: 1.39\n Max Deflection: 2.10e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 193.90063038470035, "fos_buckling": 1.388137220991008, "fos_yielding": 3.682776952378676, "deflection": 0.002101942460262567, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.166)" }, "parent_node_id": "node_3042", "improvement_over_parent": null }, "node_3044": { "node_id": "node_3044", "content": "MODIFICATION: Increase 14 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 196.28 kg\n Factor of Safety: 1.39\n Max Deflection: 2.09e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 196.28110139392524, "fos_buckling": 1.3887247399317801, "fos_yielding": 3.676558163212659, "deflection": 0.0020944297927670977, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.200)" }, "parent_node_id": "node_3043", "improvement_over_parent": null }, "node_3045": { "node_id": "node_3045", "content": "MODIFICATION: Increase 10 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 200.52 kg\n Factor of Safety: 1.52\n Max Deflection: 2.06e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 200.51759110355763, "fos_buckling": 1.5210280214475644, "fos_yielding": 3.691685507653509, "deflection": 0.0020614033104856522, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.259)" }, "parent_node_id": "node_3044", "improvement_over_parent": null }, "node_3046": { "node_id": "node_3046", "content": "MODIFICATION: Increase 9 thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 202.73 kg\n Factor of Safety: 1.54\n Max Deflection: 2.05e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 202.73265062121143, "fos_buckling": 1.5414758883791766, "fos_yielding": 3.6836470318446657, "deflection": 0.002050676530250707, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.330)" }, "parent_node_id": "node_3045", "improvement_over_parent": null }, "node_3047": { "node_id": "node_3047", "content": "MODIFICATION: Increase 1 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 204.02 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.02261187429448, "fos_buckling": 1.544282530424134, "fos_yielding": 4.256536877328704, "deflection": 0.0020059534850797606, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.220)" }, "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "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 434)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0032)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0046)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0042)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0018)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0050)]\n\nPerformance:\n Mass: 159.20 kg\n Factor of Safety: 0.95\n Max Deflection: 2.81e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 159.20074912974738, "fos_buckling": 0.9526383284860768, "fos_yielding": 2.954999950394499, "deflection": 0.002809443376548911, "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: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0032)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0046)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0042)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0018)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0050)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n\nPerformance:\n Mass: 176.39 kg\n Factor of Safety: 1.35\n Max Deflection: 2.27e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 176.39129181857828, "fos_buckling": 1.3508527333245537, "fos_yielding": 3.6552744250781597, "deflection": 0.0022700790495058286, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.003892)" }, "parent_node_id": "node_3049", "improvement_over_parent": null }, "node_3051": { "node_id": "node_3051", "content": "MODIFICATION: Increase 14 thickness by 44%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0032)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0046)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0042)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0018)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0072)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n\nPerformance:\n Mass: 187.43 kg\n Factor of Safety: 1.45\n Max Deflection: 2.08e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 187.4264047565573, "fos_buckling": 1.44865362762522, "fos_yielding": 3.534058545609515, "deflection": 0.0020761713544476513, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.443)" }, "parent_node_id": "node_3050", "improvement_over_parent": null }, "node_3052": { "node_id": "node_3052", "content": "MODIFICATION: Increase 5 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0032)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0046)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0042)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0018)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0072)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n\nPerformance:\n Mass: 188.01 kg\n Factor of Safety: 1.45\n Max Deflection: 2.07e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 188.011731536092, "fos_buckling": 1.4485496310392039, "fos_yielding": 3.5430379072628604, "deflection": 0.0020743436711419725, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.222)" }, "parent_node_id": "node_3051", "improvement_over_parent": null }, "node_3053": { "node_id": "node_3053", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0020)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0081)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n\nPerformance:\n Mass: 208.71 kg\n Factor of Safety: 1.58\n Max Deflection: 1.87e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 208.71270132102504, "fos_buckling": 1.5796553927756556, "fos_yielding": 3.934283700145724, "deflection": 0.0018715990834288073, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.122)" }, "parent_node_id": "node_3052", "improvement_over_parent": null }, "node_3054": { "node_id": "node_3054", "content": "MODIFICATION: Increase 14 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0020)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0109)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n\nPerformance:\n Mass: 221.32 kg\n Factor of Safety: 1.57\n Max Deflection: 1.77e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 221.3175373861275, "fos_buckling": 1.572120285033636, "fos_yielding": 3.8529872305130284, "deflection": 0.0017663497511630048, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.357)" }, "parent_node_id": "node_3053", "improvement_over_parent": null }, "node_3055": { "node_id": "node_3055", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3054", "improvement_over_parent": null }, "node_3056": { "node_id": "node_3056", "content": "INITIAL DESIGN (Trace 435)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0032)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0023)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0026)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0037)]\n\nPerformance:\n Mass: 106.86 kg\n Factor of Safety: 0.54\n Max Deflection: 3.60e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 106.86353379252176, "fos_buckling": 0.5392983579126526, "fos_yielding": 1.2535552297897428, "deflection": 3601247789987.3457, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3057": { "node_id": "node_3057", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n\nPerformance:\n Mass: 122.40 kg\n Factor of Safety: 0.98\n Max Deflection: 3.80e+12 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 122.40188424789513, "fos_buckling": 0.9783878628062116, "fos_yielding": 1.3459549443151577, "deflection": 3799039660928.5415, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.156)" }, "parent_node_id": "node_3056", "improvement_over_parent": null }, "node_3058": { "node_id": "node_3058", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n\nPerformance:\n Mass: 137.51 kg\n Factor of Safety: 0.79\n Max Deflection: 3.09e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 137.50928571939042, "fos_buckling": 0.7868464310604432, "fos_yielding": 2.779342244949767, "deflection": 0.0030941690589130185, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.003385)" }, "parent_node_id": "node_3057", "improvement_over_parent": null }, "node_3059": { "node_id": "node_3059", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0048)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n\nPerformance:\n Mass: 152.36 kg\n Factor of Safety: 0.86\n Max Deflection: 2.79e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 152.3649376612045, "fos_buckling": 0.8588852209102534, "fos_yielding": 3.0769740791877442, "deflection": 0.002794313164479108, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.117)" }, "parent_node_id": "node_3058", "improvement_over_parent": null }, "node_3060": { "node_id": "node_3060", "content": "MODIFICATION: Increase 4 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0048)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n\nPerformance:\n Mass: 153.35 kg\n Factor of Safety: 0.86\n Max Deflection: 2.77e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 153.3519534773935, "fos_buckling": 0.8588852209102537, "fos_yielding": 3.0766641470834877, "deflection": 0.0027749116025937493, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.200)" }, "parent_node_id": "node_3059", "improvement_over_parent": null }, "node_3061": { "node_id": "node_3061", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0048)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n\nPerformance:\n Mass: 167.01 kg\n Factor of Safety: 0.88\n Max Deflection: 2.78e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 167.01211096594008, "fos_buckling": 0.8803682177821437, "fos_yielding": 3.0527971952009096, "deflection": 0.002776351401510467, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.003417)" }, "parent_node_id": "node_3060", "improvement_over_parent": null }, "node_3062": { "node_id": "node_3062", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n\nPerformance:\n Mass: 190.57 kg\n Factor of Safety: 0.98\n Max Deflection: 2.44e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 190.57453264192168, "fos_buckling": 0.9830903083709419, "fos_yielding": 3.4801024310322237, "deflection": 0.002435635071257503, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.155)" }, "parent_node_id": "node_3061", "improvement_over_parent": null }, "node_3063": { "node_id": "node_3063", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 203.90 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.89806671356692, "fos_buckling": 1.543427174478934, "fos_yielding": 4.251636836298546, "deflection": 0.002007477759259799, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.004024)" }, "parent_node_id": "node_3062", "improvement_over_parent": null }, "node_3064": { "node_id": "node_3064", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3063", "improvement_over_parent": null }, "node_3065": { "node_id": "node_3065", "content": "INITIAL DESIGN (Trace 436)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0032)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nPerformance:\n Mass: 156.76 kg\n Factor of Safety: 1.10\n Max Deflection: 2.56e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 156.76083536397385, "fos_buckling": 1.1014937777843674, "fos_yielding": 3.0128687218028216, "deflection": 0.002564967508314489, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3066": { "node_id": "node_3066", "content": "MODIFICATION: Increase 6 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nPerformance:\n Mass: 160.05 kg\n Factor of Safety: 1.22\n Max Deflection: 2.54e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 160.0522204609372, "fos_buckling": 1.2213909923812731, "fos_yielding": 3.336027656277251, "deflection": 0.0025357082866396532, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.255)" }, "parent_node_id": "node_3065", "improvement_over_parent": null }, "node_3067": { "node_id": "node_3067", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 201.64 kg\n Factor of Safety: 1.49\n Max Deflection: 2.02e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 201.64107625183982, "fos_buckling": 1.4937545994374257, "fos_yielding": 4.192532313831853, "deflection": 0.0020182210421444595, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.285)" }, "parent_node_id": "node_3066", "improvement_over_parent": null }, "node_3068": { "node_id": "node_3068", "content": "MODIFICATION: Increase 9 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.98 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.9818428819102, "fos_buckling": 1.5440076733949621, "fos_yielding": 4.253603757419307, "deflection": 0.002006512496832101, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.355)" }, "parent_node_id": "node_3067", "improvement_over_parent": null }, "node_3069": { "node_id": "node_3069", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3068", "improvement_over_parent": null }, "node_3070": { "node_id": "node_3070", "content": "INITIAL DESIGN (Trace 437)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 188.49 kg\n Factor of Safety: 0.99\n Max Deflection: 3.36e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 188.48918493327108, "fos_buckling": 0.9855971204765133, "fos_yielding": 3.2624468010739283, "deflection": 0.0033565819853898357, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3071": { "node_id": "node_3071", "content": "MODIFICATION: Increase 10 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 191.47 kg\n Factor of Safety: 0.99\n Max Deflection: 3.36e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 191.46766281522196, "fos_buckling": 0.9850939254931715, "fos_yielding": 3.2604798024599506, "deflection": 0.003357542853684932, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.203)" }, "parent_node_id": "node_3070", "improvement_over_parent": null }, "node_3072": { "node_id": "node_3072", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n\nPerformance:\n Mass: 194.28 kg\n Factor of Safety: 0.88\n Max Deflection: 2.10e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 194.281894704342, "fos_buckling": 0.8837992668425567, "fos_yielding": 4.0387718173844736, "deflection": 0.0021008587103121938, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.002221)" }, "parent_node_id": "node_3071", "improvement_over_parent": null }, "node_3073": { "node_id": "node_3073", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n\nPerformance:\n Mass: 203.92 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.923659626625, "fos_buckling": 1.5436872148584522, "fos_yielding": 4.252535527007823, "deflection": 0.0020070485664748293, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.003423)" }, "parent_node_id": "node_3072", "improvement_over_parent": null }, "node_3074": { "node_id": "node_3074", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3073", "improvement_over_parent": null }, "node_3075": { "node_id": "node_3075", "content": "INITIAL DESIGN (Trace 438)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0042)]\n\nPerformance:\n Mass: 150.96 kg\n Factor of Safety: 0.38\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": 150.95990494031076, "fos_buckling": 0.383133283051639, "fos_yielding": 1.808693527019729, "deflection": 0.006685941633034441, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3076": { "node_id": "node_3076", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0049)]\n\nPerformance:\n Mass: 171.03 kg\n Factor of Safety: 0.43\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": 171.03360514315284, "fos_buckling": 0.4257636537385293, "fos_yielding": 2.045759205045787, "deflection": 0.005912207185315428, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.144)" }, "parent_node_id": "node_3075", "improvement_over_parent": null }, "node_3077": { "node_id": "node_3077", "content": "MODIFICATION: Increase 2 thickness by 38%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0049)]\n\nPerformance:\n Mass: 172.81 kg\n Factor of Safety: 0.43\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": 172.80995234161801, "fos_buckling": 0.4257123205377217, "fos_yielding": 2.045513312226177, "deflection": 0.005889597523128802, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.383)" }, "parent_node_id": "node_3076", "improvement_over_parent": null }, "node_3078": { "node_id": "node_3078", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 196.72 kg\n Factor of Safety: 0.47\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": 196.71723182593462, "fos_buckling": 0.47351401181799524, "fos_yielding": 2.324085390754068, "deflection": 0.005185011601607269, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.152)" }, "parent_node_id": "node_3077", "improvement_over_parent": null }, "node_3079": { "node_id": "node_3079", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n\nPerformance:\n Mass: 203.95 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.94837761414303, "fos_buckling": 1.5437684301080137, "fos_yielding": 4.253600312548649, "deflection": 0.0020068273537219086, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.003560)" }, "parent_node_id": "node_3078", "improvement_over_parent": null }, "node_3080": { "node_id": "node_3080", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3079", "improvement_over_parent": null }, "node_3081": { "node_id": "node_3081", "content": "INITIAL DESIGN (Trace 439)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n\nPerformance:\n Mass: 152.57 kg\n Factor of Safety: 0.39\n Max Deflection: 7.22e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 152.5722865365975, "fos_buckling": 0.38973881357981927, "fos_yielding": 1.8447571625466685, "deflection": 0.007216612637262445, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3082": { "node_id": "node_3082", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 192.88 kg\n Factor of Safety: 0.47\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": 192.87630012364355, "fos_buckling": 0.47362230460793053, "fos_yielding": 2.324598931645631, "deflection": 0.005729397877783542, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.290)" }, "parent_node_id": "node_3081", "improvement_over_parent": null }, "node_3083": { "node_id": "node_3083", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n\nPerformance:\n Mass: 196.03 kg\n Factor of Safety: 0.47\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": 196.0320568000764, "fos_buckling": 0.4735210029911349, "fos_yielding": 2.32410346864497, "deflection": 0.005195839610718939, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002098)" }, "parent_node_id": "node_3082", "improvement_over_parent": null }, "node_3084": { "node_id": "node_3084", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n\nPerformance:\n Mass: 203.26 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.2632025882848, "fos_buckling": 1.5350141600204235, "fos_yielding": 4.228667346312748, "deflection": 0.002011458312216022, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.003560)" }, "parent_node_id": "node_3083", "improvement_over_parent": null }, "node_3085": { "node_id": "node_3085", "content": "MODIFICATION: Increase 5 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0042)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n\nPerformance:\n Mass: 205.27 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 205.27468036760337, "fos_buckling": 1.5366540002402305, "fos_yielding": 4.23318478919456, "deflection": 0.0020060337176889004, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.235)" }, "parent_node_id": "node_3084", "improvement_over_parent": null }, "node_3086": { "node_id": "node_3086", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3085", "improvement_over_parent": null }, "node_3087": { "node_id": "node_3087", "content": "INITIAL DESIGN (Trace 440)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0022)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0049)]\n\nPerformance:\n Mass: 152.41 kg\n Factor of Safety: 0.77\n Max Deflection: 3.01e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 152.40786310707313, "fos_buckling": 0.7745570665260411, "fos_yielding": 2.7585280636686376, "deflection": 0.0030052641632432875, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3088": { "node_id": "node_3088", "content": "MODIFICATION: Increase 7 thickness by 58%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0022)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0049)]\n\nPerformance:\n Mass: 155.37 kg\n Factor of Safety: 0.74\n Max Deflection: 2.94e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 155.3735978681704, "fos_buckling": 0.7442781080700791, "fos_yielding": 2.8281502699880314, "deflection": 0.0029356437897081235, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.580)" }, "parent_node_id": "node_3087", "improvement_over_parent": null }, "node_3089": { "node_id": "node_3089", "content": "MODIFICATION: Increase 6 thickness by 50%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0045)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0022)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0049)]\n\nPerformance:\n Mass: 161.36 kg\n Factor of Safety: 0.74\n Max Deflection: 2.88e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 161.36128987934077, "fos_buckling": 0.7376003581012092, "fos_yielding": 3.011219646799554, "deflection": 0.0028818610425651366, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.497)" }, "parent_node_id": "node_3088", "improvement_over_parent": null }, "node_3090": { "node_id": "node_3090", "content": "MODIFICATION: Increase 5 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0045)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0022)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0049)]\n\nPerformance:\n Mass: 161.85 kg\n Factor of Safety: 0.74\n Max Deflection: 2.88e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 161.84921564285253, "fos_buckling": 0.7381408822660807, "fos_yielding": 3.0100837490649446, "deflection": 0.0028818593553074276, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.183)" }, "parent_node_id": "node_3089", "improvement_over_parent": null }, "node_3091": { "node_id": "node_3091", "content": "MODIFICATION: Increase 10 thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0045)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0049)]\n\nPerformance:\n Mass: 164.19 kg\n Factor of Safety: 0.74\n Max Deflection: 2.86e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 164.19363546446738, "fos_buckling": 0.7357285940824824, "fos_yielding": 3.0145196969394665, "deflection": 0.002861877677275271, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.332)" }, "parent_node_id": "node_3090", "improvement_over_parent": null }, "node_3092": { "node_id": "node_3092", "content": "MODIFICATION: Increase 11 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0045)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0049)]\n\nPerformance:\n Mass: 168.08 kg\n Factor of Safety: 0.89\n Max Deflection: 2.76e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 168.08344853046898, "fos_buckling": 0.885529833437242, "fos_yielding": 3.072355515831696, "deflection": 0.0027585178029016478, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.325)" }, "parent_node_id": "node_3091", "improvement_over_parent": null }, "node_3093": { "node_id": "node_3093", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 190.57 kg\n Factor of Safety: 0.98\n Max Deflection: 2.44e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 190.57192053377247, "fos_buckling": 0.9834760826584864, "fos_yielding": 3.4801790464854028, "deflection": 0.0024354343719925763, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.147)" }, "parent_node_id": "node_3092", "improvement_over_parent": null }, "node_3094": { "node_id": "node_3094", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 203.90 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.8954546054177, "fos_buckling": 1.5434317295046354, "fos_yielding": 4.251654253758855, "deflection": 0.002007371599107069, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.004024)" }, "parent_node_id": "node_3093", "improvement_over_parent": null }, "node_3095": { "node_id": "node_3095", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3094", "improvement_over_parent": null }, "node_3096": { "node_id": "node_3096", "content": "INITIAL DESIGN (Trace 441)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0047)]\n\nPerformance:\n Mass: 192.48 kg\n Factor of Safety: 1.11\n Max Deflection: 2.44e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 192.48277803525838, "fos_buckling": 1.106290711077973, "fos_yielding": 3.5031846890249194, "deflection": 0.0024384803380148967, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3097": { "node_id": "node_3097", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0047)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n\nPerformance:\n Mass: 195.30 kg\n Factor of Safety: 1.11\n Max Deflection: 2.33e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 195.29700992437841, "fos_buckling": 1.1061852250186355, "fos_yielding": 3.50285065643812, "deflection": 0.0023258746424537928, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.002221)" }, "parent_node_id": "node_3096", "improvement_over_parent": null }, "node_3098": { "node_id": "node_3098", "content": "MODIFICATION: Increase 14 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0047)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0027)]\n\nPerformance:\n Mass: 195.80 kg\n Factor of Safety: 1.11\n Max Deflection: 2.32e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 195.7959985664064, "fos_buckling": 1.1061665234905322, "fos_yielding": 3.502791436102759, "deflection": 0.002323302403967634, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.199)" }, "parent_node_id": "node_3097", "improvement_over_parent": null }, "node_3099": { "node_id": "node_3099", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0047)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0027)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n\nPerformance:\n Mass: 199.63 kg\n Factor of Safety: 1.38\n Max Deflection: 2.10e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 199.62840733312518, "fos_buckling": 1.3798086700165575, "fos_yielding": 4.34183761861408, "deflection": 0.002100621344210097, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002592)" }, "parent_node_id": "node_3098", "improvement_over_parent": null }, "node_3100": { "node_id": "node_3100", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3099", "improvement_over_parent": null }, "node_3101": { "node_id": "node_3101", "content": "INITIAL DESIGN (Trace 442)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0025)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0038)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0025)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0045)]\n\nPerformance:\n Mass: 146.35 kg\n Factor of Safety: 0.85\n Max Deflection: 2.84e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 146.34506966672546, "fos_buckling": 0.8514655358575295, "fos_yielding": 2.2800367820622043, "deflection": 0.0028427077403144372, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3102": { "node_id": "node_3102", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0025)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0038)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0025)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0045)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n\nPerformance:\n Mass: 154.21 kg\n Factor of Safety: 0.93\n Max Deflection: 2.73e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 154.21097421454058, "fos_buckling": 0.9334774769834796, "fos_yielding": 2.4996466599266847, "deflection": 0.0027305865054205163, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.002743)" }, "parent_node_id": "node_3101", "improvement_over_parent": null }, "node_3103": { "node_id": "node_3103", "content": "MODIFICATION: Increase 5 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0038)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0025)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0045)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n\nPerformance:\n Mass: 157.26 kg\n Factor of Safety: 1.07\n Max Deflection: 2.69e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 157.25743524583643, "fos_buckling": 1.0740614107613509, "fos_yielding": 2.8636687877391087, "deflection": 0.002692887166656534, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.290)" }, "parent_node_id": "node_3102", "improvement_over_parent": null }, "node_3104": { "node_id": "node_3104", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n\nPerformance:\n Mass: 192.89 kg\n Factor of Safety: 1.27\n Max Deflection: 2.20e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 192.89357328138453, "fos_buckling": 1.2713896328350869, "fos_yielding": 3.5024080646273736, "deflection": 0.002201374498510628, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.248)" }, "parent_node_id": "node_3103", "improvement_over_parent": null }, "node_3105": { "node_id": "node_3105", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n\nPerformance:\n Mass: 196.73 kg\n Factor of Safety: 1.35\n Max Deflection: 2.04e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 196.7259820481033, "fos_buckling": 1.345341833461472, "fos_yielding": 3.786107074289426, "deflection": 0.002041915050889638, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002592)" }, "parent_node_id": "node_3104", "improvement_over_parent": null }, "node_3106": { "node_id": "node_3106", "content": "MODIFICATION: Increase 14 thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0043)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n\nPerformance:\n Mass: 199.02 kg\n Factor of Safety: 1.35\n Max Deflection: 2.04e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 199.020541367655, "fos_buckling": 1.3537492202711707, "fos_yielding": 3.80976743025605, "deflection": 0.0020352506473794514, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.269)" }, "parent_node_id": "node_3105", "improvement_over_parent": null }, "node_3107": { "node_id": "node_3107", "content": "MODIFICATION: Increase 6 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0051)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0043)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n\nPerformance:\n Mass: 202.10 kg\n Factor of Safety: 1.36\n Max Deflection: 2.01e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 202.0990599134906, "fos_buckling": 1.3557000164375301, "fos_yielding": 3.815257427654663, "deflection": 0.0020146034176917816, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.261)" }, "parent_node_id": "node_3106", "improvement_over_parent": null }, "node_3108": { "node_id": "node_3108", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3107", "improvement_over_parent": null }, "node_3109": { "node_id": "node_3109", "content": "INITIAL DESIGN (Trace 443)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0048)]\n\nPerformance:\n Mass: 163.42 kg\n Factor of Safety: 1.14\n Max Deflection: 2.54e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 163.41577642648866, "fos_buckling": 1.1384976284443962, "fos_yielding": 3.0664195434702277, "deflection": 0.0025424274482327347, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3110": { "node_id": "node_3110", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 187.08 kg\n Factor of Safety: 1.27\n Max Deflection: 2.22e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 187.082194119882, "fos_buckling": 1.2723292099809849, "fos_yielding": 3.5050081528991206, "deflection": 0.002223739363267, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.159)" }, "parent_node_id": "node_3109", "improvement_over_parent": null }, "node_3111": { "node_id": "node_3111", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 202.53 kg\n Factor of Safety: 1.54\n Max Deflection: 2.06e-03 m\n Status: FEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 202.53309863362279, "fos_buckling": 1.5406011549265444, "fos_yielding": 3.6216611086452493, "deflection": 0.0020564400938524086, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003928)" }, "parent_node_id": "node_3110", "improvement_over_parent": null }, "node_3112": { "node_id": "node_3112", "content": "MODIFICATION: Increase 1 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 203.94 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93798308893034, "fos_buckling": 1.5437108432453772, "fos_yielding": 4.252609347367485, "deflection": 0.0020068794883720195, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.244)" }, "parent_node_id": "node_3111", "improvement_over_parent": null }, "node_3113": { "node_id": "node_3113", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3112", "improvement_over_parent": null }, "node_3114": { "node_id": "node_3114", "content": "INITIAL DESIGN (Trace 444)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0013)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0016)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0010)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0015)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0009)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0015)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0015)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0020)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0014)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0019)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0017)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0017)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0024)]\n\nPerformance:\n Mass: 91.58 kg\n Factor of Safety: 0.73\n Max Deflection: 4.43e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 91.58484392932748, "fos_buckling": 0.7322149824518103, "fos_yielding": 1.9161542477399187, "deflection": 0.0044323429734097535, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3115": { "node_id": "node_3115", "content": "MODIFICATION: Increase 5 thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0013)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0016)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0010)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0015)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0011)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0015)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0015)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0020)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0014)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0019)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0017)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0017)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0024)]\n\nPerformance:\n Mass: 91.97 kg\n Factor of Safety: 0.77\n Max Deflection: 4.42e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 91.97403385399069, "fos_buckling": 0.7703038273013963, "fos_yielding": 1.930871640872779, "deflection": 0.00441880790260482, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.302)" }, "parent_node_id": "node_3114", "improvement_over_parent": null }, "node_3116": { "node_id": "node_3116", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0015)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0018)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0011)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0017)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0013)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0017)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0017)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0023)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0016)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0021)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0019)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0019)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0027)]\n\nPerformance:\n Mass: 103.69 kg\n Factor of Safety: 0.86\n Max Deflection: 3.92e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 103.69306404392889, "fos_buckling": 0.8596557862672285, "fos_yielding": 2.1753563303244703, "deflection": 0.003922310904460865, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.133)" }, "parent_node_id": "node_3115", "improvement_over_parent": null }, "node_3117": { "node_id": "node_3117", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0028)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0020)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0023)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0033)]\n\nPerformance:\n Mass: 123.87 kg\n Factor of Safety: 1.01\n Max Deflection: 3.29e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 123.86952112813044, "fos_buckling": 1.0088673030788824, "fos_yielding": 2.5954717058004344, "deflection": 0.0032876077824555206, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.205)" }, "parent_node_id": "node_3116", "improvement_over_parent": null }, "node_3118": { "node_id": "node_3118", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0032)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0023)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0027)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0038)]\n\nPerformance:\n Mass: 142.51 kg\n Factor of Safety: 1.14\n Max Deflection: 2.86e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 142.50972384800554, "fos_buckling": 1.1415343577426236, "fos_yielding": 2.9826913922450227, "deflection": 0.0028609481431188105, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.160)" }, "parent_node_id": "node_3117", "improvement_over_parent": null }, "node_3119": { "node_id": "node_3119", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0047)]\n\nPerformance:\n Mass: 175.21 kg\n Factor of Safety: 1.36\n Max Deflection: 2.33e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 175.20675057625004, "fos_buckling": 1.3622741725761012, "fos_yielding": 3.6598218312878728, "deflection": 0.0023318298114322527, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.248)" }, "parent_node_id": "node_3118", "improvement_over_parent": null }, "node_3120": { "node_id": "node_3120", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.76 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.7593264939449, "fos_buckling": 1.542619975537872, "fos_yielding": 4.248949837959352, "deflection": 0.0020086703843038593, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.179)" }, "parent_node_id": "node_3119", "improvement_over_parent": null }, "node_3121": { "node_id": "node_3121", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3120", "improvement_over_parent": null }, "node_3122": { "node_id": "node_3122", "content": "INITIAL DESIGN (Trace 445)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0020)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0019)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n\nPerformance:\n Mass: 140.17 kg\n Factor of Safety: 1.04\n Max Deflection: 3.20e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 140.1721498131005, "fos_buckling": 1.0446808337886702, "fos_yielding": 1.919320984227913, "deflection": 0.003196241164012325, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3123": { "node_id": "node_3123", "content": "MODIFICATION: Increase 2 thickness by 48%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0020)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n\nPerformance:\n Mass: 142.07 kg\n Factor of Safety: 1.04\n Max Deflection: 3.00e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 142.06648825944376, "fos_buckling": 1.044547358402808, "fos_yielding": 2.779818131645657, "deflection": 0.0030005487400287475, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.481)" }, "parent_node_id": "node_3122", "improvement_over_parent": null }, "node_3124": { "node_id": "node_3124", "content": "MODIFICATION: Increase 1 thickness by 41%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n\nPerformance:\n Mass: 143.74 kg\n Factor of Safety: 1.04\n Max Deflection: 2.91e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 143.74348745050264, "fos_buckling": 1.0441930390401766, "fos_yielding": 2.779342706137763, "deflection": 0.0029126959487155045, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.406)" }, "parent_node_id": "node_3123", "improvement_over_parent": null }, "node_3125": { "node_id": "node_3125", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0049)]\n\nPerformance:\n Mass: 159.82 kg\n Factor of Safety: 1.14\n Max Deflection: 2.62e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 159.8160608559481, "fos_buckling": 1.1407571050925935, "fos_yielding": 3.0865088056480974, "deflection": 0.002622884782233151, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.121)" }, "parent_node_id": "node_3124", "improvement_over_parent": null }, "node_3126": { "node_id": "node_3126", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 181.82 kg\n Factor of Safety: 1.27\n Max Deflection: 2.31e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 181.82223214145498, "fos_buckling": 1.2665365956802375, "fos_yielding": 3.505876694289597, "deflection": 0.0023091990031799733, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.151)" }, "parent_node_id": "node_3125", "improvement_over_parent": null }, "node_3127": { "node_id": "node_3127", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 197.27 kg\n Factor of Safety: 1.27\n Max Deflection: 2.15e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 197.27313665519577, "fos_buckling": 1.265224539252439, "fos_yielding": 4.223907218639161, "deflection": 0.0021520013072455118, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003928)" }, "parent_node_id": "node_3126", "improvement_over_parent": null }, "node_3128": { "node_id": "node_3128", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n\nPerformance:\n Mass: 200.09 kg\n Factor of Safety: 1.41\n Max Deflection: 2.04e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 200.0873685443158, "fos_buckling": 1.4080215272385845, "fos_yielding": 4.240103912470887, "deflection": 0.002035868724461078, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.002221)" }, "parent_node_id": "node_3127", "improvement_over_parent": null }, "node_3129": { "node_id": "node_3129", "content": "MODIFICATION: Increase 12 thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0050)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n\nPerformance:\n Mass: 203.86 kg\n Factor of Safety: 1.48\n Max Deflection: 2.02e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 203.8610975390915, "fos_buckling": 1.4752674666191583, "fos_yielding": 4.228711210982886, "deflection": 0.0020218414134704483, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.274)" }, "parent_node_id": "node_3128", "improvement_over_parent": null }, "node_3130": { "node_id": "node_3130", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3129", "improvement_over_parent": null }, "node_3131": { "node_id": "node_3131", "content": "INITIAL DESIGN (Trace 446)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0042)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0038)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0046)]\n\nPerformance:\n Mass: 145.25 kg\n Factor of Safety: 0.85\n Max Deflection: 3.07e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 145.24578405535368, "fos_buckling": 0.847052041828989, "fos_yielding": 2.725008713678024, "deflection": 0.003069527131169489, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3132": { "node_id": "node_3132", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 175.27 kg\n Factor of Safety: 0.99\n Max Deflection: 2.55e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 175.26725706320485, "fos_buckling": 0.9921503377241966, "fos_yielding": 3.282448486029436, "deflection": 0.002547177739003882, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.227)" }, "parent_node_id": "node_3131", "improvement_over_parent": null }, "node_3133": { "node_id": "node_3133", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n\nPerformance:\n Mass: 184.91 kg\n Factor of Safety: 0.99\n Max Deflection: 2.51e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 184.90902198548787, "fos_buckling": 0.9928171874202487, "fos_yielding": 3.280300962742695, "deflection": 0.002508919122877216, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.003423)" }, "parent_node_id": "node_3132", "improvement_over_parent": null }, "node_3134": { "node_id": "node_3134", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n\nPerformance:\n Mass: 204.01 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.01274130828128, "fos_buckling": 1.5442414488039875, "fos_yielding": 4.254404636525827, "deflection": 0.002006163179584068, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.004368)" }, "parent_node_id": "node_3133", "improvement_over_parent": null }, "node_3135": { "node_id": "node_3135", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3134", "improvement_over_parent": null }, "node_3136": { "node_id": "node_3136", "content": "INITIAL DESIGN (Trace 447)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0013)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0029)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0013)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0027)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0019)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0025)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0022)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0032)]\n\nPerformance:\n Mass: 111.33 kg\n Factor of Safety: 0.30\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": 111.33168259995975, "fos_buckling": 0.3030068592337071, "fos_yielding": 1.387487765274301, "deflection": 0.009813977345231336, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3137": { "node_id": "node_3137", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0013)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0029)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0013)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0027)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0019)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0025)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0022)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0032)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0020)]\n\nPerformance:\n Mass: 115.62 kg\n Factor of Safety: 0.81\n Max Deflection: 3.88e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 115.62015695218527, "fos_buckling": 0.8134896671926566, "fos_yielding": 1.5087641602479378, "deflection": 0.0038780168448841034, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.002032)" }, "parent_node_id": "node_3136", "improvement_over_parent": null }, "node_3138": { "node_id": "node_3138", "content": "MODIFICATION: Increase 8 thickness by 48%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0013)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0029)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0013)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0019)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0025)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0022)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0032)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0020)]\n\nPerformance:\n Mass: 121.52 kg\n Factor of Safety: 0.81\n Max Deflection: 3.80e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 121.52118099087119, "fos_buckling": 0.8133262534750081, "fos_yielding": 1.5084610798642215, "deflection": 0.0037966510860800514, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.484)" }, "parent_node_id": "node_3137", "improvement_over_parent": null }, "node_3139": { "node_id": "node_3139", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0013)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0029)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0013)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0019)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0025)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0022)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0032)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0020)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0015)]\n\nPerformance:\n Mass: 123.79 kg\n Factor of Safety: 0.80\n Max Deflection: 3.47e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 123.79333606084731, "fos_buckling": 0.7999671253869419, "fos_yielding": 1.833840388284891, "deflection": 0.003467713851836476, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.001479)" }, "parent_node_id": "node_3138", "improvement_over_parent": null }, "node_3140": { "node_id": "node_3140", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0017)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0053)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n\nPerformance:\n Mass: 162.10 kg\n Factor of Safety: 1.03\n Max Deflection: 2.65e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 162.10275079573884, "fos_buckling": 1.0269046678787233, "fos_yielding": 2.4102493748520724, "deflection": 0.002650543864844009, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.333)" }, "parent_node_id": "node_3139", "improvement_over_parent": null }, "node_3141": { "node_id": "node_3141", "content": "MODIFICATION: Increase 2 thickness by 40%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0017)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0053)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n\nPerformance:\n Mass: 163.75 kg\n Factor of Safety: 1.14\n Max Deflection: 2.54e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 163.75034910191064, "fos_buckling": 1.140380433269687, "fos_yielding": 3.2482602289124367, "deflection": 0.002535050837034129, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.404)" }, "parent_node_id": "node_3140", "improvement_over_parent": null }, "node_3142": { "node_id": "node_3142", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0046)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0031)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0063)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0050)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0032)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n\nPerformance:\n Mass: 191.00 kg\n Factor of Safety: 1.31\n Max Deflection: 2.18e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 191.0005638208629, "fos_buckling": 1.3093682644057902, "fos_yielding": 3.786771331741506, "deflection": 0.0021757784598664615, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.182)" }, "parent_node_id": "node_3141", "improvement_over_parent": null }, "node_3143": { "node_id": "node_3143", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0070)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n\nPerformance:\n Mass: 210.33 kg\n Factor of Safety: 1.43\n Max Deflection: 1.98e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 210.32815530832792, "fos_buckling": 1.425654837257149, "fos_yielding": 4.168528799953931, "deflection": 0.001977356177944583, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.112)" }, "parent_node_id": "node_3142", "improvement_over_parent": null }, "node_3144": { "node_id": "node_3144", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3143", "improvement_over_parent": null }, "node_3145": { "node_id": "node_3145", "content": "INITIAL DESIGN (Trace 448)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0026)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0040)]\n\nPerformance:\n Mass: 125.77 kg\n Factor of Safety: 0.78\n Max Deflection: 3.24e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 125.77434828812174, "fos_buckling": 0.7770287532624615, "fos_yielding": 2.5700410758318473, "deflection": 0.0032369356488097644, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3146": { "node_id": "node_3146", "content": "MODIFICATION: Increase 10 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0040)]\n\nPerformance:\n Mass: 129.45 kg\n Factor of Safety: 0.98\n Max Deflection: 3.12e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 129.4451174346744, "fos_buckling": 0.9761505298243424, "fos_yielding": 2.5697201741490043, "deflection": 0.003122221875075751, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.312)" }, "parent_node_id": "node_3145", "improvement_over_parent": null }, "node_3147": { "node_id": "node_3147", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0040)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0024)]\n\nPerformance:\n Mass: 137.72 kg\n Factor of Safety: 0.98\n Max Deflection: 2.97e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 137.72113157965856, "fos_buckling": 0.9778385483488612, "fos_yielding": 2.5689969720565946, "deflection": 0.0029705645031996245, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.002395)" }, "parent_node_id": "node_3146", "improvement_over_parent": null }, "node_3148": { "node_id": "node_3148", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0040)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0024)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0020)]\n\nPerformance:\n Mass: 145.80 kg\n Factor of Safety: 1.16\n Max Deflection: 2.76e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 145.8016416904291, "fos_buckling": 1.1603330513440344, "fos_yielding": 3.0484501766814427, "deflection": 0.0027618751364760774, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.001965)" }, "parent_node_id": "node_3147", "improvement_over_parent": null }, "node_3149": { "node_id": "node_3149", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0047)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0023)]\n\nPerformance:\n Mass: 170.39 kg\n Factor of Safety: 1.33\n Max Deflection: 2.37e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 170.39303850258153, "fos_buckling": 1.3254423315346695, "fos_yielding": 3.5575279368877664, "deflection": 0.0023671768807428406, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.182)" }, "parent_node_id": "node_3148", "improvement_over_parent": null }, "node_3150": { "node_id": "node_3150", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0028)]\n\nPerformance:\n Mass: 199.61 kg\n Factor of Safety: 1.51\n Max Deflection: 2.02e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 199.60641244560045, "fos_buckling": 1.5102639745309698, "fos_yielding": 4.160411723815685, "deflection": 0.0020246983179723573, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.188)" }, "parent_node_id": "node_3149", "improvement_over_parent": null }, "node_3151": { "node_id": "node_3151", "content": "MODIFICATION: Increase 14 thickness by 42%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0048)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0028)]\n\nPerformance:\n Mass: 203.77 kg\n Factor of Safety: 1.47\n Max Deflection: 2.01e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 203.76770711331628, "fos_buckling": 1.4671215155811879, "fos_yielding": 4.161494956374756, "deflection": 0.0020123130974386513, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.422)" }, "parent_node_id": "node_3150", "improvement_over_parent": null }, "node_3152": { "node_id": "node_3152", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3151", "improvement_over_parent": null }, "node_3153": { "node_id": "node_3153", "content": "INITIAL DESIGN (Trace 449)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0038)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n\nPerformance:\n Mass: 128.16 kg\n Factor of Safety: 0.21\n Max Deflection: 7.97e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 128.15702662734296, "fos_buckling": 0.20586843542769512, "fos_yielding": 1.2622520951966576, "deflection": 0.007967622466648297, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3154": { "node_id": "node_3154", "content": "MODIFICATION: Increase 8 thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0038)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n\nPerformance:\n Mass: 130.54 kg\n Factor of Safety: 0.21\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": 130.5388685129664, "fos_buckling": 0.20580187622253043, "fos_yielding": 1.261843997199511, "deflection": 0.00763281991540858, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.299)" }, "parent_node_id": "node_3153", "improvement_over_parent": null }, "node_3155": { "node_id": "node_3155", "content": "MODIFICATION: Increase 9 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0038)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n\nPerformance:\n Mass: 132.62 kg\n Factor of Safety: 0.27\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": 132.62059984661764, "fos_buckling": 0.2695121855425752, "fos_yielding": 1.4318490563763606, "deflection": 0.007103269534453714, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.387)" }, "parent_node_id": "node_3154", "improvement_over_parent": null }, "node_3156": { "node_id": "node_3156", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 161.36 kg\n Factor of Safety: 0.32\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": 161.36289711627452, "fos_buckling": 0.3169623034824706, "fos_yielding": 1.7389431981256018, "deflection": 0.005848832937199268, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.238)" }, "parent_node_id": "node_3155", "improvement_over_parent": null }, "node_3157": { "node_id": "node_3157", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n\nPerformance:\n Mass: 172.69 kg\n Factor of Safety: 0.32\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": 172.68753911838138, "fos_buckling": 0.31684085573619947, "fos_yielding": 1.7382749440569105, "deflection": 0.005683372935247024, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.003363)" }, "parent_node_id": "node_3156", "improvement_over_parent": null }, "node_3158": { "node_id": "node_3158", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n\nPerformance:\n Mass: 204.00 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.9970894633102, "fos_buckling": 1.543938031510567, "fos_yielding": 4.254303678475762, "deflection": 0.0020064089777402623, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.005592)" }, "parent_node_id": "node_3157", "improvement_over_parent": null }, "node_3159": { "node_id": "node_3159", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3158", "improvement_over_parent": null }, "node_3160": { "node_id": "node_3160", "content": "INITIAL DESIGN (Trace 450)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0030)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0014)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0014)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0020)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0023)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0033)]\n\nPerformance:\n Mass: 97.27 kg\n Factor of Safety: 0.22\n Max Deflection: 5.07e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 97.26849571166443, "fos_buckling": 0.22417113795241014, "fos_yielding": 1.5600453995074792, "deflection": 0.005066455952142248, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3161": { "node_id": "node_3161", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0019)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0018)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n\nPerformance:\n Mass: 123.83 kg\n Factor of Safety: 0.28\n Max Deflection: 3.99e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 123.82535792651952, "fos_buckling": 0.27640121549462865, "fos_yielding": 1.9791024266631596, "deflection": 0.00398817844436527, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.292)" }, "parent_node_id": "node_3160", "improvement_over_parent": null }, "node_3162": { "node_id": "node_3162", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0019)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0018)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n\nPerformance:\n Mass: 141.10 kg\n Factor of Safety: 0.78\n Max Deflection: 3.18e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 141.10445591776414, "fos_buckling": 0.7816696101826748, "fos_yielding": 2.7367457375500965, "deflection": 0.0031764216715403385, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.003587)" }, "parent_node_id": "node_3161", "improvement_over_parent": null }, "node_3163": { "node_id": "node_3163", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0019)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0018)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n\nPerformance:\n Mass: 144.09 kg\n Factor of Safety: 0.81\n Max Deflection: 3.17e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 144.08639022180287, "fos_buckling": 0.8140078844853086, "fos_yielding": 2.683466175456113, "deflection": 0.0031743338779102203, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.001974)" }, "parent_node_id": "node_3162", "improvement_over_parent": null }, "node_3164": { "node_id": "node_3164", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0019)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0018)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n\nPerformance:\n Mass: 154.45 kg\n Factor of Safety: 1.16\n Max Deflection: 2.60e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 154.45454538495102, "fos_buckling": 1.1630072558825861, "fos_yielding": 3.2515905498644146, "deflection": 0.0026036038490391627, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.003065)" }, "parent_node_id": "node_3163", "improvement_over_parent": null }, "node_3165": { "node_id": "node_3165", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 198.45 kg\n Factor of Safety: 1.45\n Max Deflection: 2.03e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 198.45187547422347, "fos_buckling": 1.4506987407891756, "fos_yielding": 4.166269185523316, "deflection": 0.0020324860181747378, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.312)" }, "parent_node_id": "node_3164", "improvement_over_parent": null }, "node_3166": { "node_id": "node_3166", "content": "MODIFICATION: Increase 9 thickness by 45%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0063)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 205.96 kg\n Factor of Safety: 1.42\n Max Deflection: 2.00e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 205.95837070035049, "fos_buckling": 1.424536096046943, "fos_yielding": 4.177343957488863, "deflection": 0.001999277820213363, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.453)" }, "parent_node_id": "node_3165", "improvement_over_parent": null }, "node_3167": { "node_id": "node_3167", "content": "MODIFICATION: Increase 7 thickness by 40%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0033)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0063)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 208.42 kg\n Factor of Safety: 1.42\n Max Deflection: 1.99e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 208.41845797228467, "fos_buckling": 1.4222507320564504, "fos_yielding": 4.246871628032467, "deflection": 0.0019857210722404317, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.397)" }, "parent_node_id": "node_3166", "improvement_over_parent": null }, "node_3168": { "node_id": "node_3168", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3167", "improvement_over_parent": null }, "node_3169": { "node_id": "node_3169", "content": "INITIAL DESIGN (Trace 451)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0047)]\n\nPerformance:\n Mass: 153.85 kg\n Factor of Safety: 0.50\n Max Deflection: 2.24e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 153.85016846072224, "fos_buckling": 0.4965457071399129, "fos_yielding": 2.8705277636287123, "deflection": 2237292090403.731, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3170": { "node_id": "node_3170", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0047)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0020)]\n\nPerformance:\n Mass: 158.06 kg\n Factor of Safety: 0.84\n Max Deflection: 2.64e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 158.0563473066762, "fos_buckling": 0.8406008143167049, "fos_yielding": 3.0028172912787316, "deflection": 0.002641318867397311, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.001991)" }, "parent_node_id": "node_3169", "improvement_over_parent": null }, "node_3171": { "node_id": "node_3171", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0047)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0020)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n\nPerformance:\n Mass: 171.39 kg\n Factor of Safety: 1.03\n Max Deflection: 2.44e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 171.39137379063266, "fos_buckling": 1.0297095561311846, "fos_yielding": 2.7745140447967844, "deflection": 0.0024418714960409422, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.003329)" }, "parent_node_id": "node_3170", "improvement_over_parent": null }, "node_3172": { "node_id": "node_3172", "content": "MODIFICATION: Increase 7 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0047)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0020)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n\nPerformance:\n Mass: 173.29 kg\n Factor of Safety: 1.02\n Max Deflection: 2.42e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 173.2915988189876, "fos_buckling": 1.0193037053404377, "fos_yielding": 2.7464758674339738, "deflection": 0.0024236874748415718, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.183)" }, "parent_node_id": "node_3171", "improvement_over_parent": null }, "node_3173": { "node_id": "node_3173", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0048)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0024)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n\nPerformance:\n Mass: 202.48 kg\n Factor of Safety: 1.17\n Max Deflection: 2.08e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 202.47613532474622, "fos_buckling": 1.1732841130696907, "fos_yielding": 3.2160338754922613, "deflection": 0.002077170407771642, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.185)" }, "parent_node_id": "node_3172", "improvement_over_parent": null }, "node_3174": { "node_id": "node_3174", "content": "MODIFICATION: Increase 4 thickness by 51%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0039)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0048)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0024)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.17\n Max Deflection: 2.07e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 204.1655042319714, "fos_buckling": 1.1748581799120772, "fos_yielding": 3.22034847604895, "deflection": 0.002069602467833671, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.511)" }, "parent_node_id": "node_3173", "improvement_over_parent": null }, "node_3175": { "node_id": "node_3175", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3174", "improvement_over_parent": null }, "node_3176": { "node_id": "node_3176", "content": "INITIAL DESIGN (Trace 452)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0025)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0036)]\n\nPerformance:\n Mass: 128.12 kg\n Factor of Safety: 0.90\n Max Deflection: 3.18e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 128.12381954624107, "fos_buckling": 0.8996724764766502, "fos_yielding": 2.8291195885694664, "deflection": 0.0031841636196324064, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3177": { "node_id": "node_3177", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n\nPerformance:\n Mass: 152.00 kg\n Factor of Safety: 1.04\n Max Deflection: 2.69e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 152.0037021106241, "fos_buckling": 1.0419388932518354, "fos_yielding": 3.3514223918268615, "deflection": 0.0026883939959342082, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.200)" }, "parent_node_id": "node_3176", "improvement_over_parent": null }, "node_3178": { "node_id": "node_3178", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 192.71 kg\n Factor of Safety: 1.27\n Max Deflection: 2.13e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 192.7098964552567, "fos_buckling": 1.2664530732945045, "fos_yielding": 4.2381792240665135, "deflection": 0.002126526268686853, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.294)" }, "parent_node_id": "node_3177", "improvement_over_parent": null }, "node_3179": { "node_id": "node_3179", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n\nPerformance:\n Mass: 204.03 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.03453845736357, "fos_buckling": 1.544352082762571, "fos_yielding": 4.254771115192918, "deflection": 0.0020059670163535734, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.003363)" }, "parent_node_id": "node_3178", "improvement_over_parent": null }, "node_3180": { "node_id": "node_3180", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3179", "improvement_over_parent": null }, "node_3181": { "node_id": "node_3181", "content": "INITIAL DESIGN (Trace 453)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0014)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0017)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0010)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0009)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0024)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0016)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0016)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0022)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0016)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0020)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0018)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0018)]\n\nPerformance:\n Mass: 79.56 kg\n Factor of Safety: 0.13\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": 79.56413515283408, "fos_buckling": 0.13399389139561751, "fos_yielding": 0.6587778745261471, "deflection": 0.015705074677081012, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3182": { "node_id": "node_3182", "content": "MODIFICATION: Increase 4 thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0014)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0017)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0010)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0012)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0024)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0016)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0016)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0022)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0016)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0020)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0018)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0018)]\n\nPerformance:\n Mass: 79.97 kg\n Factor of Safety: 0.17\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": 79.97326523032427, "fos_buckling": 0.16868320995974634, "fos_yielding": 0.8453988100945217, "deflection": 0.015298412170680564, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.295)" }, "parent_node_id": "node_3181", "improvement_over_parent": null }, "node_3183": { "node_id": "node_3183", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0017)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0020)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0012)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0014)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0028)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0018)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0022)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0018)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0025)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0018)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0024)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0021)]\n\nPerformance:\n Mass: 92.78 kg\n Factor of Safety: 0.19\n Max Deflection: 1.32e-02 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 92.7819128719238, "fos_buckling": 0.19300493742833436, "fos_yielding": 0.9800316476754175, "deflection": 0.013198255217306405, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.168)" }, "parent_node_id": "node_3182", "improvement_over_parent": null }, "node_3184": { "node_id": "node_3184", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0017)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0031)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0022)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0026)]\n\nPerformance:\n Mass: 111.76 kg\n Factor of Safety: 0.23\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": 111.76464164992815, "fos_buckling": 0.22769387881046202, "fos_yielding": 1.179173558479779, "deflection": 0.010971115304543215, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.217)" }, "parent_node_id": "node_3183", "improvement_over_parent": null }, "node_3185": { "node_id": "node_3185", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n\nPerformance:\n Mass: 132.36 kg\n Factor of Safety: 0.26\n Max Deflection: 9.28e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 132.36292531464392, "fos_buckling": 0.26351006351227346, "fos_yielding": 1.3947421849321004, "deflection": 0.009277101925465981, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.198)" }, "parent_node_id": "node_3184", "improvement_over_parent": null }, "node_3186": { "node_id": "node_3186", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0044)]\n\nPerformance:\n Mass: 157.39 kg\n Factor of Safety: 0.39\n Max Deflection: 6.46e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 157.39097214882386, "fos_buckling": 0.39352391716350393, "fos_yielding": 1.8656030058845092, "deflection": 0.006456652710266015, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.004384)" }, "parent_node_id": "node_3185", "improvement_over_parent": null }, "node_3187": { "node_id": "node_3187", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n\nPerformance:\n Mass: 196.95 kg\n Factor of Safety: 0.47\n Max Deflection: 5.18e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 196.95217518034204, "fos_buckling": 0.4740351114122097, "fos_yielding": 2.32720308032778, "deflection": 0.005178223703995128, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.276)" }, "parent_node_id": "node_3186", "improvement_over_parent": null }, "node_3188": { "node_id": "node_3188", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n\nPerformance:\n Mass: 204.18 kg\n Factor of Safety: 1.54\n Max Deflection: 2.00e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.18332096855045, "fos_buckling": 1.5445086957439749, "fos_yielding": 4.259320064829311, "deflection": 0.002004973319510317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.003560)" }, "parent_node_id": "node_3187", "improvement_over_parent": null }, "node_3189": { "node_id": "node_3189", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3188", "improvement_over_parent": null }, "node_3190": { "node_id": "node_3190", "content": "INITIAL DESIGN (Trace 454)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0014)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0014)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0034)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0025)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0029)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0041)]\n\nPerformance:\n Mass: 123.88 kg\n Factor of Safety: 0.71\n Max Deflection: 1.86e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 123.87969576777127, "fos_buckling": 0.7102773083894904, "fos_yielding": 1.2479070969233201, "deflection": 1861557191392.862, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3191": { "node_id": "node_3191", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0017)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0045)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0049)]\n\nPerformance:\n Mass: 145.52 kg\n Factor of Safety: 0.37\n Max Deflection: 4.34e+12 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 145.5192093249731, "fos_buckling": 0.36922806754285187, "fos_yielding": 0.8952497978936584, "deflection": 4338003064429.963, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.189)" }, "parent_node_id": "node_3190", "improvement_over_parent": null }, "node_3192": { "node_id": "node_3192", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 165.16 kg\n Factor of Safety: 0.36\n Max Deflection: 3.14e+12 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 165.1601506594054, "fos_buckling": 0.3614896070493177, "fos_yielding": 1.3664780671932388, "deflection": 3135196625610.71, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.148)" }, "parent_node_id": "node_3191", "improvement_over_parent": null }, "node_3193": { "node_id": "node_3193", "content": "MODIFICATION: Increase 4 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 166.37 kg\n Factor of Safety: 0.34\n Max Deflection: 1.77e+12 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 166.37142490296065, "fos_buckling": 0.3434161981736488, "fos_yielding": 1.3250999276388775, "deflection": 1770645823387.977, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.221)" }, "parent_node_id": "node_3192", "improvement_over_parent": null }, "node_3194": { "node_id": "node_3194", "content": "MODIFICATION: Increase 5 thickness by 38%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 167.36 kg\n Factor of Safety: 0.49\n Max Deflection: 1.34e+12 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 167.35857299027717, "fos_buckling": 0.49225770787340306, "fos_yielding": 1.3226488979993412, "deflection": 1344600162701.8452, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.381)" }, "parent_node_id": "node_3193", "improvement_over_parent": null }, "node_3195": { "node_id": "node_3195", "content": "MODIFICATION: Increase 0 thickness by 57%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 169.25 kg\n Factor of Safety: 0.62\n Max Deflection: 2.46e+12 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 169.2482958469997, "fos_buckling": 0.6193194545211907, "fos_yielding": 1.321369913460192, "deflection": 2458312683810.384, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.575)" }, "parent_node_id": "node_3194", "improvement_over_parent": null }, "node_3196": { "node_id": "node_3196", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n\nPerformance:\n Mass: 188.35 kg\n Factor of Safety: 0.96\n Max Deflection: 2.20e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 188.3520151697931, "fos_buckling": 0.9571063087802472, "fos_yielding": 3.501129645096163, "deflection": 0.0022009604727507327, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.004368)" }, "parent_node_id": "node_3195", "improvement_over_parent": null }, "node_3197": { "node_id": "node_3197", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93335180224565, "fos_buckling": 1.5436950807511736, "fos_yielding": 4.252566419904665, "deflection": 0.002007014755016017, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.003945)" }, "parent_node_id": "node_3196", "improvement_over_parent": null }, "node_3198": { "node_id": "node_3198", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3197", "improvement_over_parent": null }, "node_3199": { "node_id": "node_3199", "content": "INITIAL DESIGN (Trace 455)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0032)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0029)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0021)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0024)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0035)]\n\nPerformance:\n Mass: 122.76 kg\n Factor of Safety: 0.67\n Max Deflection: 3.77e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 122.75566587118996, "fos_buckling": 0.6730157840864297, "fos_yielding": 2.248014666862837, "deflection": 0.003769641374912307, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3200": { "node_id": "node_3200", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0032)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0029)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0021)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0024)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0035)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n\nPerformance:\n Mass: 131.33 kg\n Factor of Safety: 1.06\n Max Deflection: 3.10e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 131.33441735683073, "fos_buckling": 1.0626006479877863, "fos_yielding": 2.7506643536452433, "deflection": 0.00310221619824903, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.002505)" }, "parent_node_id": "node_3199", "improvement_over_parent": null }, "node_3201": { "node_id": "node_3201", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0038)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0045)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n\nPerformance:\n Mass: 165.53 kg\n Factor of Safety: 1.30\n Max Deflection: 2.47e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 165.53205229042086, "fos_buckling": 1.2985532367014625, "fos_yielding": 3.45976507928533, "deflection": 0.0024666258257750504, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.280)" }, "parent_node_id": "node_3200", "improvement_over_parent": null }, "node_3202": { "node_id": "node_3202", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 203.97 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.97410840632347, "fos_buckling": 1.5439434867676909, "fos_yielding": 4.253399613157351, "deflection": 0.0020065903230641795, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.255)" }, "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "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 456)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 177.57 kg\n Factor of Safety: 0.75\n Max Deflection: 2.84e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 177.56881068707332, "fos_buckling": 0.7541505084212422, "fos_yielding": 2.238553618187887, "deflection": 0.002841254862046294, "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 8 thickness by 56%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 182.05 kg\n Factor of Safety: 0.82\n Max Deflection: 2.68e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 182.04657182120962, "fos_buckling": 0.8162843214975183, "fos_yielding": 2.237192949152192, "deflection": 0.002683284507795757, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.555)" }, "parent_node_id": "node_3204", "improvement_over_parent": null }, "node_3206": { "node_id": "node_3206", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n\nPerformance:\n Mass: 201.15 kg\n Factor of Safety: 1.19\n Max Deflection: 2.09e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 201.15029114400303, "fos_buckling": 1.1927215181289785, "fos_yielding": 3.2688955311122703, "deflection": 0.002091040392566705, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.004368)" }, "parent_node_id": "node_3205", "improvement_over_parent": null }, "node_3207": { "node_id": "node_3207", "content": "MODIFICATION: Increase 3 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n\nPerformance:\n Mass: 201.64 kg\n Factor of Safety: 1.19\n Max Deflection: 2.09e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 201.63744714882873, "fos_buckling": 1.193902142524808, "fos_yielding": 3.27213127202311, "deflection": 0.0020871236078888844, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.230)" }, "parent_node_id": "node_3206", "improvement_over_parent": null }, "node_3208": { "node_id": "node_3208", "content": "MODIFICATION: Increase 4 thickness by 51%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n\nPerformance:\n Mass: 203.94 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93588172906985, "fos_buckling": 1.5437156463906365, "fos_yielding": 4.252613849934605, "deflection": 0.00200696964330695, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.511)" }, "parent_node_id": "node_3207", "improvement_over_parent": null }, "node_3209": { "node_id": "node_3209", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3208", "improvement_over_parent": null }, "node_3210": { "node_id": "node_3210", "content": "INITIAL DESIGN (Trace 457)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0016)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0019)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0019)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0019)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0014)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0027)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0018)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0012)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0025)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0014)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0015)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0021)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0029)]\n\nPerformance:\n Mass: 102.85 kg\n Factor of Safety: 0.75\n Max Deflection: 4.00e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 102.84784096393103, "fos_buckling": 0.754137873281011, "fos_yielding": 2.2594676523583526, "deflection": 0.003999976531347523, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3211": { "node_id": "node_3211", "content": "MODIFICATION: Increase 11 thickness by 57%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0016)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0019)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0019)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0019)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0014)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0027)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0018)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0012)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0025)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0014)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0023)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0021)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0029)]\n\nPerformance:\n Mass: 106.50 kg\n Factor of Safety: 0.75\n Max Deflection: 3.91e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 106.50098334279625, "fos_buckling": 0.753578080216252, "fos_yielding": 2.270215879052794, "deflection": 0.00391408433870414, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.567)" }, "parent_node_id": "node_3210", "improvement_over_parent": null }, "node_3212": { "node_id": "node_3212", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0035)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0015)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0032)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0018)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0027)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0038)]\n\nPerformance:\n Mass: 137.10 kg\n Factor of Safety: 0.94\n Max Deflection: 3.05e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 137.0979005416242, "fos_buckling": 0.9410703590034801, "fos_yielding": 2.9166436427258677, "deflection": 0.003047800348670555, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.305)" }, "parent_node_id": "node_3211", "improvement_over_parent": null }, "node_3213": { "node_id": "node_3213", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0018)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0021)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nPerformance:\n Mass: 158.55 kg\n Factor of Safety: 1.06\n Max Deflection: 2.64e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 158.5469958209976, "fos_buckling": 1.0649453826010535, "fos_yielding": 3.3682766875855568, "deflection": 0.002639888078434729, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.168)" }, "parent_node_id": "node_3212", "improvement_over_parent": null }, "node_3214": { "node_id": "node_3214", "content": "MODIFICATION: Increase 10 thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0018)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nPerformance:\n Mass: 160.38 kg\n Factor of Safety: 1.06\n Max Deflection: 2.64e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 160.3834945744814, "fos_buckling": 1.0646821547026366, "fos_yielding": 3.368071300777272, "deflection": 0.00264017353439981, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.269)" }, "parent_node_id": "node_3213", "improvement_over_parent": null }, "node_3215": { "node_id": "node_3215", "content": "MODIFICATION: Increase 8 thickness by 55%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nPerformance:\n Mass: 163.01 kg\n Factor of Safety: 1.06\n Max Deflection: 2.62e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 163.00528672565753, "fos_buckling": 1.064682154702637, "fos_yielding": 3.4404921383430356, "deflection": 0.0026195133980306626, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.548)" }, "parent_node_id": "node_3214", "improvement_over_parent": null }, "node_3216": { "node_id": "node_3216", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 201.01 kg\n Factor of Safety: 1.26\n Max Deflection: 2.13e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 201.0124112360055, "fos_buckling": 1.2640256514336052, "fos_yielding": 4.232861435585675, "deflection": 0.0021298140851334817, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.256)" }, "parent_node_id": "node_3215", "improvement_over_parent": null }, "node_3217": { "node_id": "node_3217", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n\nPerformance:\n Mass: 203.83 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.82664312512554, "fos_buckling": 1.543138183815264, "fos_yielding": 4.250675288043851, "deflection": 0.002007974782601014, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.002221)" }, "parent_node_id": "node_3216", "improvement_over_parent": null }, "node_3218": { "node_id": "node_3218", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3217", "improvement_over_parent": null }, "node_3219": { "node_id": "node_3219", "content": "INITIAL DESIGN (Trace 458)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0041)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0048)]\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_3220": { "node_id": "node_3220", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0041)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0048)]\n M12: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n\nPerformance:\n Mass: 141.47 kg\n Factor of Safety: 0.86\n Max Deflection: 3.01e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 141.46624393285055, "fos_buckling": 0.8571192846992363, "fos_yielding": 3.0734937258152537, "deflection": 0.003013668780172144, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.001921)" }, "parent_node_id": "node_3219", "improvement_over_parent": null }, "node_3221": { "node_id": "node_3221", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0041)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0048)]\n M12: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n\nPerformance:\n Mass: 155.00 kg\n Factor of Safety: 0.86\n Max Deflection: 2.74e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 154.996314847409, "fos_buckling": 0.8563253392531204, "fos_yielding": 3.070668067071739, "deflection": 0.00273840675261281, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003398)" }, "parent_node_id": "node_3220", "improvement_over_parent": null }, "node_3222": { "node_id": "node_3222", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M12: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 177.00 kg\n Factor of Safety: 0.96\n Max Deflection: 2.40e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 177.00461066395638, "fos_buckling": 0.9561889621519727, "fos_yielding": 3.501918439266007, "deflection": 0.002401348307160356, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.156)" }, "parent_node_id": "node_3221", "improvement_over_parent": null }, "node_3223": { "node_id": "node_3223", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M12: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n\nPerformance:\n Mass: 188.33 kg\n Factor of Safety: 0.96\n Max Deflection: 2.20e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 188.32925266606324, "fos_buckling": 0.9569306552878238, "fos_yielding": 3.500573412648479, "deflection": 0.0022012579216278898, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.003363)" }, "parent_node_id": "node_3222", "improvement_over_parent": null }, "node_3224": { "node_id": "node_3224", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M12: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n\nPerformance:\n Mass: 203.91 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.9105892985158, "fos_buckling": 1.54351948116174, "fos_yielding": 4.251959792008392, "deflection": 0.0020072533204742774, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.003945)" }, "parent_node_id": "node_3223", "improvement_over_parent": null }, "node_3225": { "node_id": "node_3225", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3224", "improvement_over_parent": null }, "node_3226": { "node_id": "node_3226", "content": "INITIAL DESIGN (Trace 459)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0016)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0019)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0011)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0018)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0013)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0017)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0017)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0024)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0017)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0016)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0020)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0028)]\n\nPerformance:\n Mass: 97.22 kg\n Factor of Safety: 0.74\n Max Deflection: 4.15e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 97.22044679857815, "fos_buckling": 0.7376127133864808, "fos_yielding": 1.8736836054010637, "deflection": 0.004145323021544977, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3227": { "node_id": "node_3227", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0016)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0019)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0011)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0018)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0013)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0017)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0017)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0024)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0017)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0016)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0020)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0028)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0020)]\n\nPerformance:\n Mass: 105.43 kg\n Factor of Safety: 0.74\n Max Deflection: 3.84e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 105.4345854988115, "fos_buckling": 0.7373627955130627, "fos_yielding": 2.262332291844186, "deflection": 0.003840049235346394, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.001999)" }, "parent_node_id": "node_3226", "improvement_over_parent": null }, "node_3228": { "node_id": "node_3228", "content": "MODIFICATION: Increase 12 thickness by 43%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0016)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0019)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0011)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0018)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0013)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0017)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0017)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0024)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0017)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0022)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0020)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0028)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0020)]\n\nPerformance:\n Mass: 108.40 kg\n Factor of Safety: 0.89\n Max Deflection: 3.75e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 108.39814691165402, "fos_buckling": 0.8949790784986248, "fos_yielding": 2.2734256014391527, "deflection": 0.0037532210020104163, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.431)" }, "parent_node_id": "node_3227", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0031)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0029)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0020)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0034)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0024)]\n\nPerformance:\n Mass: 128.72 kg\n Factor of Safety: 1.04\n Max Deflection: 3.16e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 128.72246437504543, "fos_buckling": 1.0438918675887496, "fos_yielding": 2.6963771363534117, "deflection": 0.003164668499053574, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.198)" }, "parent_node_id": "node_3228", "improvement_over_parent": null }, "node_3230": { "node_id": "node_3230", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n\nPerformance:\n Mass: 163.36 kg\n Factor of Safety: 1.28\n Max Deflection: 2.50e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 163.35711045285635, "fos_buckling": 1.2840429725508613, "fos_yielding": 3.4147446708879845, "deflection": 0.0024991443506368906, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.289)" }, "parent_node_id": "node_3229", "improvement_over_parent": null }, "node_3231": { "node_id": "node_3231", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 203.83 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.83026923174637, "fos_buckling": 1.5430652303854928, "fos_yielding": 4.250425618236912, "deflection": 0.0020080037370443084, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.272)" }, "parent_node_id": "node_3230", "improvement_over_parent": null }, "node_3232": { "node_id": "node_3232", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3231", "improvement_over_parent": null }, "node_3233": { "node_id": "node_3233", "content": "INITIAL DESIGN (Trace 460)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0020)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0010)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0019)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0020)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0019)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0025)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0022)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0032)]\n\nPerformance:\n Mass: 115.17 kg\n Factor of Safety: 0.62\n Max Deflection: 3.75e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 115.16817095513703, "fos_buckling": 0.6178421605826014, "fos_yielding": 2.497516811637432, "deflection": 0.0037526089583670547, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3234": { "node_id": "node_3234", "content": "MODIFICATION: Increase 9 thickness by 37%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0020)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0010)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0019)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0027)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0019)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0025)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0022)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0032)]\n\nPerformance:\n Mass: 118.58 kg\n Factor of Safety: 0.81\n Max Deflection: 3.58e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 118.58038708432052, "fos_buckling": 0.8126385083238319, "fos_yielding": 2.497266460061799, "deflection": 0.0035837410368243713, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.368)" }, "parent_node_id": "node_3233", "improvement_over_parent": null }, "node_3235": { "node_id": "node_3235", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0025)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0013)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0036)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0033)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0024)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0028)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0040)]\n\nPerformance:\n Mass: 145.40 kg\n Factor of Safety: 0.97\n Max Deflection: 2.93e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 145.39514317631856, "fos_buckling": 0.9708346554856351, "fos_yielding": 3.057193133493201, "deflection": 0.0029282605887794243, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.241)" }, "parent_node_id": "node_3234", "improvement_over_parent": null }, "node_3236": { "node_id": "node_3236", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0016)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0046)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0042)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0050)]\n\nPerformance:\n Mass: 179.96 kg\n Factor of Safety: 1.16\n Max Deflection: 2.37e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 179.96038778218136, "fos_buckling": 1.1611411094736461, "fos_yielding": 3.776403173586678, "deflection": 0.002371510988673133, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.258)" }, "parent_node_id": "node_3235", "improvement_over_parent": null }, "node_3237": { "node_id": "node_3237", "content": "MODIFICATION: Increase 4 thickness by 43%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0046)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0042)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0050)]\n\nPerformance:\n Mass: 180.94 kg\n Factor of Safety: 1.16\n Max Deflection: 2.36e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 180.943898952196, "fos_buckling": 1.1610644201483953, "fos_yielding": 3.8145574161496274, "deflection": 0.0023628544823324498, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.433)" }, "parent_node_id": "node_3236", "improvement_over_parent": null }, "node_3238": { "node_id": "node_3238", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0046)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0042)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0050)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n\nPerformance:\n Mass: 183.48 kg\n Factor of Safety: 1.42\n Max Deflection: 2.23e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 183.4751541087789, "fos_buckling": 1.4156845989674367, "fos_yielding": 3.8306084424108775, "deflection": 0.0022279245888476113, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.001978)" }, "parent_node_id": "node_3237", "improvement_over_parent": null }, "node_3239": { "node_id": "node_3239", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n\nPerformance:\n Mass: 204.18 kg\n Factor of Safety: 1.55\n Max Deflection: 2.00e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.17545997691437, "fos_buckling": 1.5451611026466656, "fos_yielding": 4.257494524204856, "deflection": 0.0020046492237015996, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.124)" }, "parent_node_id": "node_3238", "improvement_over_parent": null }, "node_3240": { "node_id": "node_3240", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3239", "improvement_over_parent": null }, "node_3241": { "node_id": "node_3241", "content": "INITIAL DESIGN (Trace 461)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0014)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0017)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0010)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0016)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0012)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0015)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0012)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0015)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0021)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0015)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0020)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0011)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0018)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0025)]\n\nPerformance:\n Mass: 90.35 kg\n Factor of Safety: 0.67\n Max Deflection: 4.66e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 90.34869940898464, "fos_buckling": 0.6665562085901913, "fos_yielding": 1.2956665464351222, "deflection": 0.0046569706169965076, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3242": { "node_id": "node_3242", "content": "MODIFICATION: Increase 2 thickness by 61%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0014)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0017)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0010)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0016)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0012)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0015)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0012)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0015)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0021)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0015)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0020)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0011)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0018)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0025)]\n\nPerformance:\n Mass: 91.71 kg\n Factor of Safety: 0.72\n Max Deflection: 4.37e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 91.70647151824518, "fos_buckling": 0.7152670136576399, "fos_yielding": 1.9647427255475844, "deflection": 0.004366295274428878, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.613)" }, "parent_node_id": "node_3241", "improvement_over_parent": null }, "node_3243": { "node_id": "node_3243", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0016)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0019)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0012)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0018)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0013)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0014)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0018)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0024)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0017)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0023)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0013)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0020)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0029)]\n\nPerformance:\n Mass: 104.95 kg\n Factor of Safety: 0.81\n Max Deflection: 3.82e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 104.95452590740038, "fos_buckling": 0.8098452770270584, "fos_yielding": 2.246752673064722, "deflection": 0.0038182672566773714, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.151)" }, "parent_node_id": "node_3242", "improvement_over_parent": null }, "node_3244": { "node_id": "node_3244", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0031)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0022)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0016)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0026)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0037)]\n\nPerformance:\n Mass: 133.39 kg\n Factor of Safety: 1.01\n Max Deflection: 3.01e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 133.3882240383006, "fos_buckling": 1.005388456853804, "fos_yielding": 2.8504846165731714, "deflection": 0.0030096232096350926, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.287)" }, "parent_node_id": "node_3243", "improvement_over_parent": null }, "node_3245": { "node_id": "node_3245", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0042)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0020)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0046)]\n\nPerformance:\n Mass: 163.39 kg\n Factor of Safety: 1.20\n Max Deflection: 2.46e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 163.39270706789833, "fos_buckling": 1.200732139249618, "fos_yielding": 3.485315374496855, "deflection": 0.0024615216761021733, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.242)" }, "parent_node_id": "node_3244", "improvement_over_parent": null }, "node_3246": { "node_id": "node_3246", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 194.44 kg\n Factor of Safety: 1.39\n Max Deflection: 2.07e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 194.4440728223015, "fos_buckling": 1.3910184638578666, "fos_yielding": 4.139879623406512, "deflection": 0.0020724289990782766, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.208)" }, "parent_node_id": "node_3245", "improvement_over_parent": null }, "node_3247": { "node_id": "node_3247", "content": "MODIFICATION: Increase 8 thickness by 49%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 198.58 kg\n Factor of Safety: 1.46\n Max Deflection: 2.03e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 198.57891571579535, "fos_buckling": 1.4601223481171284, "fos_yielding": 4.2189015106484, "deflection": 0.002032108842442569, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.493)" }, "parent_node_id": "node_3246", "improvement_over_parent": null }, "node_3248": { "node_id": "node_3248", "content": "MODIFICATION: Increase 13 thickness by 61%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 204.14 kg\n Factor of Safety: 1.54\n Max Deflection: 2.00e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.1409632560972, "fos_buckling": 1.5448890719525314, "fos_yielding": 4.259406692364759, "deflection": 0.0020048506474799805, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.608)" }, "parent_node_id": "node_3247", "improvement_over_parent": null }, "node_3249": { "node_id": "node_3249", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3248", "improvement_over_parent": null }, "node_3250": { "node_id": "node_3250", "content": "INITIAL DESIGN (Trace 462)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0016)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0032)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0029)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0017)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0024)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0034)]\n\nPerformance:\n Mass: 124.21 kg\n Factor of Safety: 0.83\n Max Deflection: 3.42e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 124.21308825855638, "fos_buckling": 0.8295123074917655, "fos_yielding": 2.635906537113024, "deflection": 0.003416717561651095, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3251": { "node_id": "node_3251", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0016)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0032)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0029)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0017)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0024)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0034)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n\nPerformance:\n Mass: 126.01 kg\n Factor of Safety: 0.87\n Max Deflection: 3.23e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 126.0082439917561, "fos_buckling": 0.8708145902241063, "fos_yielding": 2.6500556153882067, "deflection": 0.003227960786818927, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.001369)" }, "parent_node_id": "node_3250", "improvement_over_parent": null }, "node_3252": { "node_id": "node_3252", "content": "MODIFICATION: Increase 11 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0016)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0032)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0029)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0017)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0032)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0024)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0034)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n\nPerformance:\n Mass: 128.24 kg\n Factor of Safety: 0.90\n Max Deflection: 3.19e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 128.24194479138544, "fos_buckling": 0.8962605726101593, "fos_yielding": 2.6577329980566566, "deflection": 0.0031927210335776076, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.196)" }, "parent_node_id": "node_3251", "improvement_over_parent": null }, "node_3253": { "node_id": "node_3253", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0035)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0032)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0019)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0027)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0038)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n\nPerformance:\n Mass: 142.10 kg\n Factor of Safety: 0.99\n Max Deflection: 2.88e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 142.10003815833986, "fos_buckling": 0.9872355381782136, "fos_yielding": 2.9429600632429533, "deflection": 0.0028835699321152746, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.115)" }, "parent_node_id": "node_3252", "improvement_over_parent": null }, "node_3254": { "node_id": "node_3254", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0042)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0023)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0043)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0046)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n\nPerformance:\n Mass: 168.71 kg\n Factor of Safety: 1.16\n Max Deflection: 2.43e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 168.70969343017683, "fos_buckling": 1.1586084989361962, "fos_yielding": 3.4895986820284266, "deflection": 0.002432328678535196, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.202)" }, "parent_node_id": "node_3253", "improvement_over_parent": null }, "node_3255": { "node_id": "node_3255", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0052)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n\nPerformance:\n Mass: 201.12 kg\n Factor of Safety: 1.36\n Max Deflection: 2.04e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 201.12272110082358, "fos_buckling": 1.3613826939075373, "fos_yielding": 4.153640068730261, "deflection": 0.002043959362066764, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.211)" }, "parent_node_id": "node_3254", "improvement_over_parent": null }, "node_3256": { "node_id": "node_3256", "content": "MODIFICATION: Increase 8 thickness by 56%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0053)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0052)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n\nPerformance:\n Mass: 205.73 kg\n Factor of Safety: 1.32\n Max Deflection: 2.03e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 205.72512089298735, "fos_buckling": 1.3236779983878266, "fos_yielding": 4.180460179001617, "deflection": 0.0020332944894536635, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.560)" }, "parent_node_id": "node_3255", "improvement_over_parent": null }, "node_3257": { "node_id": "node_3257", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3256", "improvement_over_parent": null }, "node_3258": { "node_id": "node_3258", "content": "INITIAL DESIGN (Trace 463)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0012)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0015)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0009)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0014)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0010)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0020)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0014)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0013)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0019)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0013)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0017)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0016)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0016)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0022)]\n\nPerformance:\n Mass: 85.05 kg\n Factor of Safety: 0.72\n Max Deflection: 4.78e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 85.05131478670832, "fos_buckling": 0.7165966816214792, "fos_yielding": 1.7862960726720183, "deflection": 0.004776410287770687, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3259": { "node_id": "node_3259", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0016)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0019)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0011)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0018)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0013)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0017)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0017)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0024)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0017)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0022)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0020)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0020)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0028)]\n\nPerformance:\n Mass: 107.99 kg\n Factor of Safety: 0.89\n Max Deflection: 3.77e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 107.98832659376679, "fos_buckling": 0.8919164184009712, "fos_yielding": 2.264891236021016, "deflection": 0.0037673404428804854, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.282)" }, "parent_node_id": "node_3258", "improvement_over_parent": null }, "node_3260": { "node_id": "node_3260", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0031)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0022)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0026)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0037)]\n\nPerformance:\n Mass: 140.43 kg\n Factor of Safety: 1.13\n Max Deflection: 2.90e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 140.43300097935767, "fos_buckling": 1.12700761711268, "fos_yielding": 2.9396104573770345, "deflection": 0.00290289086863288, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.319)" }, "parent_node_id": "node_3259", "improvement_over_parent": null }, "node_3261": { "node_id": "node_3261", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n\nPerformance:\n Mass: 160.20 kg\n Factor of Safety: 1.26\n Max Deflection: 2.55e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 160.19853231906782, "fos_buckling": 1.2628512919539636, "fos_yielding": 3.3493626178516287, "deflection": 0.00254789523055343, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.151)" }, "parent_node_id": "node_3260", "improvement_over_parent": null }, "node_3262": { "node_id": "node_3262", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.84 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.8350782218716, "fos_buckling": 1.5430947514797493, "fos_yielding": 4.250533199674995, "deflection": 0.002007943246071738, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.299)" }, "parent_node_id": "node_3261", "improvement_over_parent": null }, "node_3263": { "node_id": "node_3263", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3262", "improvement_over_parent": null }, "node_3264": { "node_id": "node_3264", "content": "INITIAL DESIGN (Trace 464)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0016)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0030)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0020)]\n\nPerformance:\n Mass: 96.58 kg\n Factor of Safety: 0.17\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": 96.5827873901919, "fos_buckling": 0.17442493110332583, "fos_yielding": 1.051356553390868, "deflection": 0.011354922752443047, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3265": { "node_id": "node_3265", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0027)]\n\nPerformance:\n Mass: 125.53 kg\n Factor of Safety: 0.22\n Max Deflection: 8.74e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 125.53215655271183, "fos_buckling": 0.22135880844925876, "fos_yielding": 1.3689866855616482, "deflection": 0.008740544645893364, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.323)" }, "parent_node_id": "node_3264", "improvement_over_parent": null }, "node_3266": { "node_id": "node_3266", "content": "MODIFICATION: Increase 8 thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0027)]\n\nPerformance:\n Mass: 127.44 kg\n Factor of Safety: 0.28\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": 127.43843744771988, "fos_buckling": 0.27877054934394435, "fos_yielding": 1.4898727776135126, "deflection": 0.008310695555188569, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.328)" }, "parent_node_id": "node_3265", "improvement_over_parent": null }, "node_3267": { "node_id": "node_3267", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0027)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0047)]\n\nPerformance:\n Mass: 154.22 kg\n Factor of Safety: 0.88\n Max Deflection: 3.91e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 154.21933180523496, "fos_buckling": 0.8759917070235248, "fos_yielding": 2.7988004847223245, "deflection": 0.003907166029630973, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.004716)" }, "parent_node_id": "node_3266", "improvement_over_parent": null }, "node_3268": { "node_id": "node_3268", "content": "MODIFICATION: Increase 12 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0047)]\n\nPerformance:\n Mass: 156.47 kg\n Factor of Safety: 0.87\n Max Deflection: 3.91e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 156.47124213941208, "fos_buckling": 0.865796465445398, "fos_yielding": 2.7983736699674675, "deflection": 0.003910047385277981, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.222)" }, "parent_node_id": "node_3267", "improvement_over_parent": null }, "node_3269": { "node_id": "node_3269", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n\nPerformance:\n Mass: 182.97 kg\n Factor of Safety: 0.99\n Max Deflection: 3.35e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 182.96632035030026, "fos_buckling": 0.9864028449945057, "fos_yielding": 3.2650740721408713, "deflection": 0.0033507861281867448, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.186)" }, "parent_node_id": "node_3268", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n\nPerformance:\n Mass: 194.29 kg\n Factor of Safety: 0.88\n Max Deflection: 2.10e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 194.29096235240712, "fos_buckling": 0.8836676834925579, "fos_yielding": 4.038702253805551, "deflection": 0.0021007313849485958, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.003363)" }, "parent_node_id": "node_3269", "improvement_over_parent": null }, "node_3271": { "node_id": "node_3271", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93272727469014, "fos_buckling": 1.5439896059237472, "fos_yielding": 4.252159267853835, "deflection": 0.0020068909511468504, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.003423)" }, "parent_node_id": "node_3270", "improvement_over_parent": null }, "node_3272": { "node_id": "node_3272", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3271", "improvement_over_parent": null }, "node_3273": { "node_id": "node_3273", "content": "INITIAL DESIGN (Trace 465)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 187.93 kg\n Factor of Safety: 1.00\n Max Deflection: 2.46e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 187.92803630370366, "fos_buckling": 0.9974684558773783, "fos_yielding": 3.4575700446605757, "deflection": 0.0024584411960635907, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3274": { "node_id": "node_3274", "content": "MODIFICATION: Increase 7 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 189.62 kg\n Factor of Safety: 0.98\n Max Deflection: 2.43e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 189.6154574055032, "fos_buckling": 0.9828785806812966, "fos_yielding": 3.481782939073777, "deflection": 0.0024348965999046878, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.233)" }, "parent_node_id": "node_3273", "improvement_over_parent": null }, "node_3275": { "node_id": "node_3275", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 202.94 kg\n Factor of Safety: 1.45\n Max Deflection: 2.01e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 202.93899147714845, "fos_buckling": 1.4527481622146805, "fos_yielding": 4.214032847723348, "deflection": 0.002014260097703881, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.004024)" }, "parent_node_id": "node_3274", "improvement_over_parent": null }, "node_3276": { "node_id": "node_3276", "content": "MODIFICATION: Increase 5 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93456080712295, "fos_buckling": 1.5437183135642691, "fos_yielding": 4.252621197440313, "deflection": 0.002006973089469954, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.385)" }, "parent_node_id": "node_3275", "improvement_over_parent": null }, "node_3277": { "node_id": "node_3277", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3276", "improvement_over_parent": null }, "node_3278": { "node_id": "node_3278", "content": "INITIAL DESIGN (Trace 466)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0017)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0020)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0015)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0029)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0019)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0026)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0019)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0024)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0022)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0022)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0031)]\n\nPerformance:\n Mass: 111.63 kg\n Factor of Safety: 0.62\n Max Deflection: 5.72e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 111.62572708139342, "fos_buckling": 0.6182127287690058, "fos_yielding": 1.9139204432878072, "deflection": 0.005720262927478323, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3279": { "node_id": "node_3279", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0026)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0019)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0037)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0024)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0032)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0028)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0040)]\n\nPerformance:\n Mass: 142.16 kg\n Factor of Safety: 0.77\n Max Deflection: 4.50e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 142.15677007767667, "fos_buckling": 0.7658934544411486, "fos_yielding": 2.4309650901908393, "deflection": 0.004503465796561699, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.292)" }, "parent_node_id": "node_3278", "improvement_over_parent": null }, "node_3280": { "node_id": "node_3280", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0026)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0019)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0037)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0024)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0032)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0028)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0040)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0016)]\n\nPerformance:\n Mass: 144.25 kg\n Factor of Safety: 0.69\n Max Deflection: 2.82e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 144.24539192823528, "fos_buckling": 0.6898314692780726, "fos_yielding": 3.010834419612363, "deflection": 0.0028211639898887064, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.001608)" }, "parent_node_id": "node_3279", "improvement_over_parent": null }, "node_3281": { "node_id": "node_3281", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0046)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0042)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0050)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n\nPerformance:\n Mass: 175.06 kg\n Factor of Safety: 0.81\n Max Deflection: 2.33e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 175.06212516618697, "fos_buckling": 0.8118335935590538, "fos_yielding": 3.6448277255353347, "deflection": 0.002328890294380461, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.232)" }, "parent_node_id": "node_3280", "improvement_over_parent": null }, "node_3282": { "node_id": "node_3282", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n\nPerformance:\n Mass: 194.49 kg\n Factor of Safety: 0.88\n Max Deflection: 2.10e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 194.49472624861997, "fos_buckling": 0.8842624416074529, "fos_yielding": 4.042968463192156, "deflection": 0.0020986692120340184, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.122)" }, "parent_node_id": "node_3281", "improvement_over_parent": null }, "node_3283": { "node_id": "node_3283", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n\nPerformance:\n Mass: 204.14 kg\n Factor of Safety: 1.54\n Max Deflection: 2.00e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.13649117090299, "fos_buckling": 1.5449932218107643, "fos_yielding": 4.256938192368263, "deflection": 0.002004947277662327, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.003423)" }, "parent_node_id": "node_3282", "improvement_over_parent": null }, "node_3284": { "node_id": "node_3284", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3283", "improvement_over_parent": null }, "node_3285": { "node_id": "node_3285", "content": "INITIAL DESIGN (Trace 467)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0015)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0014)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0011)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0018)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0013)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0017)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0017)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0023)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0017)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0022)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0022)]\n\nPerformance:\n Mass: 85.53 kg\n Factor of Safety: 0.54\n Max Deflection: 5.27e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 85.53199115342858, "fos_buckling": 0.5406873908760229, "fos_yielding": 1.4209312998984205, "deflection": 0.005268448655676017, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3286": { "node_id": "node_3286", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0018)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0030)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0021)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0028)]\n\nPerformance:\n Mass: 108.61 kg\n Factor of Safety: 0.67\n Max Deflection: 4.15e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 108.61352071365822, "fos_buckling": 0.670313758629113, "fos_yielding": 1.80633652556307, "deflection": 0.004151119131641863, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.285)" }, "parent_node_id": "node_3285", "improvement_over_parent": null }, "node_3287": { "node_id": "node_3287", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0038)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0035)]\n\nPerformance:\n Mass: 134.24 kg\n Factor of Safety: 0.81\n Max Deflection: 3.36e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 134.24164473192548, "fos_buckling": 0.8061599600242997, "fos_yielding": 2.2355540216259286, "deflection": 0.0033604898941896207, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.253)" }, "parent_node_id": "node_3286", "improvement_over_parent": null }, "node_3288": { "node_id": "node_3288", "content": "MODIFICATION: Increase 1 thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0038)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0035)]\n\nPerformance:\n Mass: 135.61 kg\n Factor of Safety: 0.81\n Max Deflection: 3.24e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 135.61274152557712, "fos_buckling": 0.8061599600242997, "fos_yielding": 2.8587389948828075, "deflection": 0.0032426368837301534, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.300)" }, "parent_node_id": "node_3287", "improvement_over_parent": null }, "node_3289": { "node_id": "node_3289", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0038)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0035)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n\nPerformance:\n Mass: 148.19 kg\n Factor of Safety: 0.81\n Max Deflection: 2.85e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 148.18553913262602, "fos_buckling": 0.8054652674964001, "fos_yielding": 2.8562949932789192, "deflection": 0.002848853159626477, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003139)" }, "parent_node_id": "node_3288", "improvement_over_parent": null }, "node_3290": { "node_id": "node_3290", "content": "MODIFICATION: Increase 14 thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0038)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0035)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0040)]\n\nPerformance:\n Mass: 151.24 kg\n Factor of Safety: 0.81\n Max Deflection: 2.83e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 151.23905304359332, "fos_buckling": 0.8052967304736006, "fos_yielding": 2.855702057231986, "deflection": 0.002826348395519986, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.267)" }, "parent_node_id": "node_3289", "improvement_over_parent": null }, "node_3291": { "node_id": "node_3291", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0038)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0035)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0040)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n\nPerformance:\n Mass: 163.92 kg\n Factor of Safety: 1.13\n Max Deflection: 2.60e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 163.91585314942694, "fos_buckling": 1.128726702625214, "fos_yielding": 3.5310681478174915, "deflection": 0.0026042841122692426, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.003152)" }, "parent_node_id": "node_3290", "improvement_over_parent": null }, "node_3292": { "node_id": "node_3292", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0050)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n\nPerformance:\n Mass: 201.53 kg\n Factor of Safety: 1.35\n Max Deflection: 2.12e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 201.53281281298422, "fos_buckling": 1.3527085503804166, "fos_yielding": 4.330586506870538, "deflection": 0.002120988021774316, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.252)" }, "parent_node_id": "node_3291", "improvement_over_parent": null }, "node_3293": { "node_id": "node_3293", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3292", "improvement_over_parent": null }, "node_3294": { "node_id": "node_3294", "content": "INITIAL DESIGN (Trace 468)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0024)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 192.71 kg\n Factor of Safety: 1.47\n Max Deflection: 2.06e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 192.70504769721873, "fos_buckling": 1.4651960892442017, "fos_yielding": 4.074137181762272, "deflection": 0.0020631171869419413, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3295": { "node_id": "node_3295", "content": "MODIFICATION: Increase 12 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0024)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 195.94 kg\n Factor of Safety: 1.48\n Max Deflection: 2.04e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 195.94184296525094, "fos_buckling": 1.4814478672799087, "fos_yielding": 4.081079137262562, "deflection": 0.0020404323212123094, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.224)" }, "parent_node_id": "node_3294", "improvement_over_parent": null }, "node_3296": { "node_id": "node_3296", "content": "MODIFICATION: Increase 14 thickness by 62%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 201.53 kg\n Factor of Safety: 1.48\n Max Deflection: 2.02e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 201.53281994343968, "fos_buckling": 1.4838899775978618, "fos_yielding": 4.189274059678291, "deflection": 0.0020191126766307198, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.621)" }, "parent_node_id": "node_3295", "improvement_over_parent": null }, "node_3297": { "node_id": "node_3297", "content": "MODIFICATION: Increase 9 thickness by 37%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.95 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.9466911981243, "fos_buckling": 1.5437608964288037, "fos_yielding": 4.252738504328996, "deflection": 0.002006933269214188, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.370)" }, "parent_node_id": "node_3296", "improvement_over_parent": null }, "node_3298": { "node_id": "node_3298", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3297", "improvement_over_parent": null }, "node_3299": { "node_id": "node_3299", "content": "INITIAL DESIGN (Trace 469)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0022)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0048)]\n\nPerformance:\n Mass: 150.97 kg\n Factor of Safety: 0.83\n Max Deflection: 3.22e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 150.9717262839664, "fos_buckling": 0.832752643054078, "fos_yielding": 1.9373963122077953, "deflection": 0.0032181677414457746, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3300": { "node_id": "node_3300", "content": "MODIFICATION: Increase 1 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0022)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0048)]\n\nPerformance:\n Mass: 152.52 kg\n Factor of Safety: 0.83\n Max Deflection: 3.10e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 152.51904947434616, "fos_buckling": 0.8325116530569929, "fos_yielding": 1.9370905986071971, "deflection": 0.0031017086777927402, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.321)" }, "parent_node_id": "node_3299", "improvement_over_parent": null }, "node_3301": { "node_id": "node_3301", "content": "MODIFICATION: Increase 8 thickness by 52%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0048)]\n\nPerformance:\n Mass: 157.84 kg\n Factor of Safety: 0.87\n Max Deflection: 3.04e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 157.84425177640153, "fos_buckling": 0.8653368935131145, "fos_yielding": 1.936740007063237, "deflection": 0.0030351344839539963, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.520)" }, "parent_node_id": "node_3300", "improvement_over_parent": null }, "node_3302": { "node_id": "node_3302", "content": "MODIFICATION: Increase 2 thickness by 64%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0048)]\n\nPerformance:\n Mass: 160.36 kg\n Factor of Safety: 0.87\n Max Deflection: 2.80e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 160.35560666514166, "fos_buckling": 0.8656376548788813, "fos_yielding": 3.076868524317945, "deflection": 0.0028027189280416193, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.637)" }, "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0048)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n\nPerformance:\n Mass: 163.71 kg\n Factor of Safety: 0.88\n Max Deflection: 2.80e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 163.71122002624273, "fos_buckling": 0.8769472204318697, "fos_yielding": 3.0564661073280415, "deflection": 0.0028033371067460737, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002242)" }, "parent_node_id": "node_3302", "improvement_over_parent": null }, "node_3304": { "node_id": "node_3304", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0048)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n\nPerformance:\n Mass: 175.38 kg\n Factor of Safety: 1.27\n Max Deflection: 2.32e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 175.37827310709392, "fos_buckling": 1.273826704700578, "fos_yielding": 3.732555581846532, "deflection": 0.0023195246138320593, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.003481)" }, "parent_node_id": "node_3303", "improvement_over_parent": null }, "node_3305": { "node_id": "node_3305", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 200.32 kg\n Factor of Safety: 1.43\n Max Deflection: 2.03e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 200.32277227877745, "fos_buckling": 1.427137497835023, "fos_yielding": 4.256062522651707, "deflection": 0.002033986299714315, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.156)" }, "parent_node_id": "node_3304", "improvement_over_parent": null }, "node_3306": { "node_id": "node_3306", "content": "MODIFICATION: Increase 10 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0053)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 203.96 kg\n Factor of Safety: 1.40\n Max Deflection: 2.01e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 203.95953165108887, "fos_buckling": 1.404604880419308, "fos_yielding": 4.264412855839004, "deflection": 0.0020136305380152606, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.214)" }, "parent_node_id": "node_3305", "improvement_over_parent": null }, "node_3307": { "node_id": "node_3307", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3306", "improvement_over_parent": null }, "node_3308": { "node_id": "node_3308", "content": "INITIAL DESIGN (Trace 470)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0015)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0017)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0023)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n\nPerformance:\n Mass: 124.77 kg\n Factor of Safety: 0.52\n Max Deflection: 6.12e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 124.77172263750916, "fos_buckling": 0.5177079960956472, "fos_yielding": 1.8632667363555762, "deflection": 0.006115187232585689, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3309": { "node_id": "node_3309", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0015)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0017)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0023)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n\nPerformance:\n Mass: 135.29 kg\n Factor of Safety: 0.81\n Max Deflection: 3.36e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 135.29421826657307, "fos_buckling": 0.8124496024945823, "fos_yielding": 2.5970954518171894, "deflection": 0.003356206217749125, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.003114)" }, "parent_node_id": "node_3308", "improvement_over_parent": null }, "node_3310": { "node_id": "node_3310", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0015)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0017)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0023)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n\nPerformance:\n Mass: 150.38 kg\n Factor of Safety: 0.71\n Max Deflection: 2.68e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 150.3849986363348, "fos_buckling": 0.7143374271899368, "fos_yielding": 3.3667530559661447, "deflection": 0.0026802901559615003, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.003381)" }, "parent_node_id": "node_3309", "improvement_over_parent": null }, "node_3311": { "node_id": "node_3311", "content": "MODIFICATION: Increase 7 thickness by 53%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0015)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0023)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n\nPerformance:\n Mass: 152.90 kg\n Factor of Safety: 0.76\n Max Deflection: 2.67e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 152.9013760456976, "fos_buckling": 0.7556196767841249, "fos_yielding": 3.3744860620165507, "deflection": 0.0026693167038201464, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.529)" }, "parent_node_id": "node_3310", "improvement_over_parent": null }, "node_3312": { "node_id": "node_3312", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0030)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n\nPerformance:\n Mass: 193.72 kg\n Factor of Safety: 0.93\n Max Deflection: 2.11e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 193.72397298384016, "fos_buckling": 0.9339636041641264, "fos_yielding": 4.261192440839025, "deflection": 0.0021119693466887463, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.292)" }, "parent_node_id": "node_3311", "improvement_over_parent": null }, "node_3313": { "node_id": "node_3313", "content": "MODIFICATION: Increase 0 thickness by 59%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0030)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n\nPerformance:\n Mass: 195.66 kg\n Factor of Safety: 1.02\n Max Deflection: 2.08e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 195.6575633565996, "fos_buckling": 1.0241705780690546, "fos_yielding": 4.258658486749423, "deflection": 0.002084003028117885, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.595)" }, "parent_node_id": "node_3312", "improvement_over_parent": null }, "node_3314": { "node_id": "node_3314", "content": "MODIFICATION: Increase 3 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0030)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n\nPerformance:\n Mass: 196.28 kg\n Factor of Safety: 1.22\n Max Deflection: 2.08e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 196.27881156695656, "fos_buckling": 1.2165027179752994, "fos_yielding": 4.259495304240967, "deflection": 0.002076382559194929, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.311)" }, "parent_node_id": "node_3313", "improvement_over_parent": null }, "node_3315": { "node_id": "node_3315", "content": "MODIFICATION: Increase 10 thickness by 58%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0030)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0053)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n\nPerformance:\n Mass: 201.88 kg\n Factor of Safety: 1.08\n Max Deflection: 2.05e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 201.8765800192899, "fos_buckling": 1.08477194367851, "fos_yielding": 4.261656393134338, "deflection": 0.002052360106683309, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.577)" }, "parent_node_id": "node_3314", "improvement_over_parent": null }, "node_3316": { "node_id": "node_3316", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3315", "improvement_over_parent": null }, "node_3317": { "node_id": "node_3317", "content": "INITIAL DESIGN (Trace 471)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0038)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0046)]\n\nPerformance:\n Mass: 146.97 kg\n Factor of Safety: 0.83\n Max Deflection: 2.74e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 146.9678572871216, "fos_buckling": 0.8271204757675438, "fos_yielding": 2.1897978965716876, "deflection": 0.002741646192413844, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3318": { "node_id": "node_3318", "content": "MODIFICATION: Increase 0 thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0038)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0046)]\n\nPerformance:\n Mass: 148.04 kg\n Factor of Safety: 0.84\n Max Deflection: 2.71e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 148.03615183764396, "fos_buckling": 0.8359948486927404, "fos_yielding": 2.2132927606626236, "deflection": 0.002713836117569597, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.330)" }, "parent_node_id": "node_3317", "improvement_over_parent": null }, "node_3319": { "node_id": "node_3319", "content": "MODIFICATION: Increase 6 thickness by 55%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0038)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0046)]\n\nPerformance:\n Mass: 153.03 kg\n Factor of Safety: 1.09\n Max Deflection: 2.65e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 153.0315571689478, "fos_buckling": 1.0897227952173454, "fos_yielding": 2.9123415379481337, "deflection": 0.0026460930587857245, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.550)" }, "parent_node_id": "node_3318", "improvement_over_parent": null }, "node_3320": { "node_id": "node_3320", "content": "MODIFICATION: Increase 6 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0042)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0038)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0046)]\n\nPerformance:\n Mass: 156.32 kg\n Factor of Safety: 1.09\n Max Deflection: 2.62e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 156.3161354012615, "fos_buckling": 1.0897227952173452, "fos_yielding": 2.912341537948133, "deflection": 0.0026203940536381263, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.242)" }, "parent_node_id": "node_3319", "improvement_over_parent": null }, "node_3321": { "node_id": "node_3321", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 188.35 kg\n Factor of Safety: 1.27\n Max Deflection: 2.18e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 188.34509716075007, "fos_buckling": 1.2714089606180285, "fos_yielding": 3.502019033249628, "deflection": 0.0021792897272752405, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.225)" }, "parent_node_id": "node_3320", "improvement_over_parent": null }, "node_3322": { "node_id": "node_3322", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 203.80 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.79600167449087, "fos_buckling": 1.5428804849336102, "fos_yielding": 4.2497709168578135, "deflection": 0.002008387283459351, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003928)" }, "parent_node_id": "node_3321", "improvement_over_parent": null }, "node_3323": { "node_id": "node_3323", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3322", "improvement_over_parent": null }, "node_3324": { "node_id": "node_3324", "content": "INITIAL DESIGN (Trace 472)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0017)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0020)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0012)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0014)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0019)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0019)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0026)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0019)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0015)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0017)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0022)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0031)]\n\nPerformance:\n Mass: 109.60 kg\n Factor of Safety: 0.66\n Max Deflection: 3.69e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 109.59543795770331, "fos_buckling": 0.6557408663307306, "fos_yielding": 2.4049594146287827, "deflection": 0.0036851291482078957, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3325": { "node_id": "node_3325", "content": "MODIFICATION: Increase 13 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0017)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0020)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0012)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0014)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0019)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0019)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0026)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0019)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0015)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0022)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0022)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0031)]\n\nPerformance:\n Mass: 111.62 kg\n Factor of Safety: 0.69\n Max Deflection: 3.65e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 111.62484684114764, "fos_buckling": 0.6907694964420584, "fos_yielding": 2.395703117036652, "deflection": 0.003651904472173528, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.305)" }, "parent_node_id": "node_3324", "improvement_over_parent": null }, "node_3326": { "node_id": "node_3326", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0033)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0024)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0019)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0028)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0040)]\n\nPerformance:\n Mass: 140.39 kg\n Factor of Safety: 0.86\n Max Deflection: 2.91e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 140.39022743876953, "fos_buckling": 0.8589211380277767, "fos_yielding": 3.0080459584030574, "deflection": 0.002907635447006796, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.274)" }, "parent_node_id": "node_3325", "improvement_over_parent": null }, "node_3327": { "node_id": "node_3327", "content": "MODIFICATION: Increase 12 thickness by 62%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0033)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0024)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0028)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0040)]\n\nPerformance:\n Mass: 145.52 kg\n Factor of Safety: 1.02\n Max Deflection: 2.81e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 145.5212053344264, "fos_buckling": 1.0203686155743572, "fos_yielding": 3.0353603809339873, "deflection": 0.00280908504939003, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.623)" }, "parent_node_id": "node_3326", "improvement_over_parent": null }, "node_3328": { "node_id": "node_3328", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0038)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0045)]\n\nPerformance:\n Mass: 163.52 kg\n Factor of Safety: 1.14\n Max Deflection: 2.50e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 163.518822922039, "fos_buckling": 1.1369417927618855, "fos_yielding": 3.4074714527381387, "deflection": 0.002502465828599184, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.133)" }, "parent_node_id": "node_3327", "improvement_over_parent": null }, "node_3329": { "node_id": "node_3329", "content": "MODIFICATION: Increase 8 thickness by 48%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0038)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0045)]\n\nPerformance:\n Mass: 166.87 kg\n Factor of Safety: 1.31\n Max Deflection: 2.45e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 166.87043833169088, "fos_buckling": 1.3075946189825445, "fos_yielding": 3.487884396790428, "deflection": 0.0024469132120671323, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.477)" }, "parent_node_id": "node_3328", "improvement_over_parent": null }, "node_3330": { "node_id": "node_3330", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.95 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.94983831287357, "fos_buckling": 1.5439592408760794, "fos_yielding": 4.253408941534866, "deflection": 0.002006717579798404, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.244)" }, "parent_node_id": "node_3329", "improvement_over_parent": null }, "node_3331": { "node_id": "node_3331", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3330", "improvement_over_parent": null }, "node_3332": { "node_id": "node_3332", "content": "INITIAL DESIGN (Trace 473)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0032)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0023)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0027)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0038)]\n\nPerformance:\n Mass: 140.67 kg\n Factor of Safety: 1.12\n Max Deflection: 3.05e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 140.6695085381385, "fos_buckling": 1.1200432082293141, "fos_yielding": 1.9215862528930985, "deflection": 0.0030540847981983163, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3333": { "node_id": "node_3333", "content": "MODIFICATION: Increase 2 thickness by 65%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0032)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0023)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0027)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0038)]\n\nPerformance:\n Mass: 142.73 kg\n Factor of Safety: 1.14\n Max Deflection: 2.86e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 142.7295746265106, "fos_buckling": 1.143141444735186, "fos_yielding": 2.985722254536313, "deflection": 0.002856725612919215, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.653)" }, "parent_node_id": "node_3332", "improvement_over_parent": null }, "node_3334": { "node_id": "node_3334", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nPerformance:\n Mass: 163.58 kg\n Factor of Safety: 1.29\n Max Deflection: 2.50e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 163.58043135545861, "fos_buckling": 1.2856071707535495, "fos_yielding": 3.4176212602733504, "deflection": 0.002495862831279766, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.157)" }, "parent_node_id": "node_3333", "improvement_over_parent": null }, "node_3335": { "node_id": "node_3335", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.96 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.95680167467947, "fos_buckling": 1.5439202582552065, "fos_yielding": 4.250909029099098, "deflection": 0.00200684876430462, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.271)" }, "parent_node_id": "node_3334", "improvement_over_parent": null }, "node_3336": { "node_id": "node_3336", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3335", "improvement_over_parent": null }, "node_3337": { "node_id": "node_3337", "content": "INITIAL DESIGN (Trace 474)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0028)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0020)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0018)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0023)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0033)]\n\nPerformance:\n Mass: 121.75 kg\n Factor of Safety: 0.83\n Max Deflection: 3.33e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 121.74572779390198, "fos_buckling": 0.8333761736967596, "fos_yielding": 2.61279089911479, "deflection": 0.003329074807879606, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3338": { "node_id": "node_3338", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0023)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n\nPerformance:\n Mass: 154.96 kg\n Factor of Safety: 1.04\n Max Deflection: 2.62e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 154.96145644886101, "fos_buckling": 1.0436159326953578, "fos_yielding": 3.3182912648544205, "deflection": 0.002620651121626516, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.292)" }, "parent_node_id": "node_3337", "improvement_over_parent": null }, "node_3339": { "node_id": "node_3339", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 198.11 kg\n Factor of Safety: 1.31\n Max Deflection: 2.06e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 198.11419449245236, "fos_buckling": 1.305487718249458, "fos_yielding": 4.230084695449072, "deflection": 0.002055080528234747, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.305)" }, "parent_node_id": "node_3338", "improvement_over_parent": null }, "node_3340": { "node_id": "node_3340", "content": "MODIFICATION: Increase 12 thickness by 47%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.83 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.82581915635183, "fos_buckling": 1.5430058094965946, "fos_yielding": 4.250229819077129, "deflection": 0.0020080546199697643, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.468)" }, "parent_node_id": "node_3339", "improvement_over_parent": null }, "node_3341": { "node_id": "node_3341", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3340", "improvement_over_parent": null }, "node_3342": { "node_id": "node_3342", "content": "INITIAL DESIGN (Trace 475)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0031)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0029)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0020)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0022)]\n\nPerformance:\n Mass: 99.90 kg\n Factor of Safety: 0.58\n Max Deflection: 4.81e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 99.90108605634181, "fos_buckling": 0.5783127229563911, "fos_yielding": 1.8911198022038445, "deflection": 0.004808983683113072, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3343": { "node_id": "node_3343", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0031)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0029)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0020)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0022)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n\nPerformance:\n Mass: 111.95 kg\n Factor of Safety: 0.58\n Max Deflection: 4.13e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 111.95261670375676, "fos_buckling": 0.5776005268412603, "fos_yielding": 1.8887908750976048, "deflection": 0.004133763199829889, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.002661)" }, "parent_node_id": "node_3342", "improvement_over_parent": null }, "node_3344": { "node_id": "node_3344", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0034)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0024)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0025)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n\nPerformance:\n Mass: 130.78 kg\n Factor of Safety: 0.67\n Max Deflection: 3.54e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 130.78276294680083, "fos_buckling": 0.6683972202365651, "fos_yielding": 2.2109968607616635, "deflection": 0.0035381782840710496, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.179)" }, "parent_node_id": "node_3343", "improvement_over_parent": null }, "node_3345": { "node_id": "node_3345", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0030)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n\nPerformance:\n Mass: 150.95 kg\n Factor of Safety: 0.76\n Max Deflection: 3.06e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 150.95090396253747, "fos_buckling": 0.7636060020067144, "fos_yielding": 2.557884723243566, "deflection": 0.0030649245379688024, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.166)" }, "parent_node_id": "node_3344", "improvement_over_parent": null }, "node_3346": { "node_id": "node_3346", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0036)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n\nPerformance:\n Mass: 177.86 kg\n Factor of Safety: 0.89\n Max Deflection: 2.60e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 177.86273119392737, "fos_buckling": 0.8873554927179224, "fos_yielding": 3.0239438453578673, "deflection": 0.0026003591090038173, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.195)" }, "parent_node_id": "node_3345", "improvement_over_parent": null }, "node_3347": { "node_id": "node_3347", "content": "MODIFICATION: Increase 14 thickness by 57%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0036)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0069)]\n\nPerformance:\n Mass: 187.28 kg\n Factor of Safety: 0.89\n Max Deflection: 2.57e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 187.27989889414525, "fos_buckling": 0.8865059154015963, "fos_yielding": 3.021048642569421, "deflection": 0.0025661141872527155, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.575)" }, "parent_node_id": "node_3346", "improvement_over_parent": null }, "node_3348": { "node_id": "node_3348", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0036)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0069)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 202.73 kg\n Factor of Safety: 1.17\n Max Deflection: 2.23e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 202.73080340788604, "fos_buckling": 1.1658053330312186, "fos_yielding": 3.9728495407260462, "deflection": 0.0022260134617978667, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003928)" }, "parent_node_id": "node_3347", "improvement_over_parent": null }, "node_3349": { "node_id": "node_3349", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3348", "improvement_over_parent": null }, "node_3350": { "node_id": "node_3350", "content": "INITIAL DESIGN (Trace 476)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0031)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0028)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0020)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0024)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0028)]\n\nPerformance:\n Mass: 122.91 kg\n Factor of Safety: 0.94\n Max Deflection: 3.49e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 122.91137545256278, "fos_buckling": 0.9398544867291044, "fos_yielding": 2.011454676072194, "deflection": 0.0034865276332429517, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3351": { "node_id": "node_3351", "content": "MODIFICATION: Increase 15 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0031)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0028)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0020)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0024)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0034)]\n\nPerformance:\n Mass: 125.78 kg\n Factor of Safety: 1.05\n Max Deflection: 3.35e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 125.78285661158522, "fos_buckling": 1.0523305716451827, "fos_yielding": 1.9618565860553037, "deflection": 0.0033465133703454966, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(15, thickness, 1.182)" }, "parent_node_id": "node_3350", "improvement_over_parent": null }, "node_3352": { "node_id": "node_3352", "content": "MODIFICATION: Increase 2 thickness by 41%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0031)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0028)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0020)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0024)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0034)]\n\nPerformance:\n Mass: 127.14 kg\n Factor of Safety: 1.03\n Max Deflection: 3.20e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 127.13670716343448, "fos_buckling": 1.0326559752411237, "fos_yielding": 2.6618296411359124, "deflection": 0.0032038857309166307, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.412)" }, "parent_node_id": "node_3351", "improvement_over_parent": null }, "node_3353": { "node_id": "node_3353", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0033)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0024)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0028)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0039)]\n\nPerformance:\n Mass: 147.42 kg\n Factor of Safety: 1.18\n Max Deflection: 2.77e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 147.41521113692633, "fos_buckling": 1.175817615724255, "fos_yielding": 3.0826441774553515, "deflection": 0.002766688403811588, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.170)" }, "parent_node_id": "node_3352", "improvement_over_parent": null }, "node_3354": { "node_id": "node_3354", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nPerformance:\n Mass: 165.23 kg\n Factor of Safety: 1.30\n Max Deflection: 2.47e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 165.2297466875786, "fos_buckling": 1.2967411825200492, "fos_yielding": 3.4514845570971753, "deflection": 0.0024711602598634953, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.130)" }, "parent_node_id": "node_3353", "improvement_over_parent": null }, "node_3355": { "node_id": "node_3355", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 204.05 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.05196215071396, "fos_buckling": 1.5446438202434636, "fos_yielding": 4.252561756004973, "deflection": 0.0020058889819500364, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.258)" }, "parent_node_id": "node_3354", "improvement_over_parent": null }, "node_3356": { "node_id": "node_3356", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3355", "improvement_over_parent": null }, "node_3357": { "node_id": "node_3357", "content": "INITIAL DESIGN (Trace 477)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0012)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0031)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0029)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0021)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0024)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0023)]\n\nPerformance:\n Mass: 114.77 kg\n Factor of Safety: 0.62\n Max Deflection: 5.52e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 114.76559702289802, "fos_buckling": 0.6200172059282121, "fos_yielding": 2.0788723017006494, "deflection": 0.005517673806232948, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3358": { "node_id": "node_3358", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0026)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0015)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0037)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0024)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0028)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0028)]\n\nPerformance:\n Mass: 133.96 kg\n Factor of Safety: 0.71\n Max Deflection: 4.73e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 133.95661552928644, "fos_buckling": 0.710723377253476, "fos_yielding": 2.4214152987639013, "deflection": 0.004734802527157975, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.178)" }, "parent_node_id": "node_3357", "improvement_over_parent": null }, "node_3359": { "node_id": "node_3359", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0026)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0015)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0037)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0024)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0028)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0028)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0016)]\n\nPerformance:\n Mass: 136.04 kg\n Factor of Safety: 0.67\n Max Deflection: 3.15e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 136.03672636583917, "fos_buckling": 0.674308385741768, "fos_yielding": 2.9939861712903753, "deflection": 0.003154885912888787, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.001601)" }, "parent_node_id": "node_3358", "improvement_over_parent": null }, "node_3360": { "node_id": "node_3360", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0046)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0042)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0034)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n\nPerformance:\n Mass: 165.71 kg\n Factor of Safety: 0.80\n Max Deflection: 2.59e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 165.71416710927076, "fos_buckling": 0.7960349698960147, "fos_yielding": 3.653624308707623, "deflection": 0.002592007275620728, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.236)" }, "parent_node_id": "node_3359", "improvement_over_parent": null }, "node_3361": { "node_id": "node_3361", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0046)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0042)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0034)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0031)]\n\nPerformance:\n Mass: 174.39 kg\n Factor of Safety: 1.10\n Max Deflection: 2.48e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 174.39300318544656, "fos_buckling": 1.0956303522033222, "fos_yielding": 3.725119886195019, "deflection": 0.0024802950439255997, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.003051)" }, "parent_node_id": "node_3360", "improvement_over_parent": null }, "node_3362": { "node_id": "node_3362", "content": "MODIFICATION: Increase 5 thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0058)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0042)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0034)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0031)]\n\nPerformance:\n Mass: 179.14 kg\n Factor of Safety: 1.09\n Max Deflection: 2.46e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 179.13870666813332, "fos_buckling": 1.0929922197401518, "fos_yielding": 3.7276460333599877, "deflection": 0.002457922613241635, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.272)" }, "parent_node_id": "node_3361", "improvement_over_parent": null }, "node_3363": { "node_id": "node_3363", "content": "MODIFICATION: Increase 15 thickness by 46%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0058)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0042)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0034)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0045)]\n\nPerformance:\n Mass: 182.68 kg\n Factor of Safety: 1.08\n Max Deflection: 2.45e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 182.67797604329772, "fos_buckling": 1.0849798514240458, "fos_yielding": 3.734263264763327, "deflection": 0.002447577708395809, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(15, thickness, 1.462)" }, "parent_node_id": "node_3362", "improvement_over_parent": null }, "node_3364": { "node_id": "node_3364", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0065)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0038)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0050)]\n\nPerformance:\n Mass: 202.89 kg\n Factor of Safety: 1.19\n Max Deflection: 2.20e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 202.88905926020684, "fos_buckling": 1.1918740763982199, "fos_yielding": 4.155166323485541, "deflection": 0.002203726088134362, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.122)" }, "parent_node_id": "node_3363", "improvement_over_parent": null }, "node_3365": { "node_id": "node_3365", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3364", "improvement_over_parent": null }, "node_3366": { "node_id": "node_3366", "content": "INITIAL DESIGN (Trace 478)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0011)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0032)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0029)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0021)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0025)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0035)]\n\nPerformance:\n Mass: 129.23 kg\n Factor of Safety: 0.88\n Max Deflection: 3.29e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 129.23307117980315, "fos_buckling": 0.8766392857026473, "fos_yielding": 2.719199554125476, "deflection": 0.0032907397663883534, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3367": { "node_id": "node_3367", "content": "MODIFICATION: Increase 4 thickness by 45%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0016)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0032)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0029)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0021)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0025)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0035)]\n\nPerformance:\n Mass: 129.98 kg\n Factor of Safety: 0.88\n Max Deflection: 3.28e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 129.97576795663983, "fos_buckling": 0.8765953010315777, "fos_yielding": 2.7486578340956695, "deflection": 0.003277814713564206, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.453)" }, "parent_node_id": "node_3366", "improvement_over_parent": null }, "node_3368": { "node_id": "node_3368", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nPerformance:\n Mass: 162.14 kg\n Factor of Safety: 1.06\n Max Deflection: 2.63e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 162.14455890905353, "fos_buckling": 1.0598866785620038, "fos_yielding": 3.4222087141420334, "deflection": 0.002633379126939832, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.266)" }, "parent_node_id": "node_3367", "improvement_over_parent": null }, "node_3369": { "node_id": "node_3369", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 201.13 kg\n Factor of Safety: 1.26\n Max Deflection: 2.13e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 201.1314960093005, "fos_buckling": 1.2645423702668435, "fos_yielding": 4.234978682419062, "deflection": 0.002128664145534665, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.264)" }, "parent_node_id": "node_3368", "improvement_over_parent": null }, "node_3370": { "node_id": "node_3370", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n\nPerformance:\n Mass: 203.95 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.94572789842053, "fos_buckling": 1.5437674383412727, "fos_yielding": 4.252805506141212, "deflection": 0.0020068642467445832, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.002221)" }, "parent_node_id": "node_3369", "improvement_over_parent": null }, "node_3371": { "node_id": "node_3371", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3370", "improvement_over_parent": null }, "node_3372": { "node_id": "node_3372", "content": "INITIAL DESIGN (Trace 479)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0014)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0017)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0010)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0023)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0013)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0018)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0016)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0022)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0015)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0018)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0018)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0026)]\n\nPerformance:\n Mass: 82.65 kg\n Factor of Safety: 0.12\n Max Deflection: 1.84e+13 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 82.64975122196871, "fos_buckling": 0.12426094564865325, "fos_yielding": 0.7462762004266006, "deflection": 18407684082520.426, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3373": { "node_id": "node_3373", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0014)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0017)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0010)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0023)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0013)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0018)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0016)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0022)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0015)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0018)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0018)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0026)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0016)]\n\nPerformance:\n Mass: 86.12 kg\n Factor of Safety: 0.60\n Max Deflection: 5.40e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 86.12380149331139, "fos_buckling": 0.5980213015850804, "fos_yielding": 1.5844495750966778, "deflection": 0.00539918422728058, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.001630)" }, "parent_node_id": "node_3372", "improvement_over_parent": null }, "node_3374": { "node_id": "node_3374", "content": "MODIFICATION: Increase 6 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0014)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0017)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0010)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0023)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0013)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0016)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0022)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0015)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0018)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0018)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0026)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0016)]\n\nPerformance:\n Mass: 87.49 kg\n Factor of Safety: 0.60\n Max Deflection: 5.32e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 87.49379422394904, "fos_buckling": 0.5979094799956565, "fos_yielding": 1.5841533052658545, "deflection": 0.0053214418888815436, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.225)" }, "parent_node_id": "node_3373", "improvement_over_parent": null }, "node_3375": { "node_id": "node_3375", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0014)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0017)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0010)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0023)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0013)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0016)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0022)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0015)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0018)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0018)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0026)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0016)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0012)]\n\nPerformance:\n Mass: 89.33 kg\n Factor of Safety: 0.60\n Max Deflection: 5.08e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 89.33384266328797, "fos_buckling": 0.5978344092183768, "fos_yielding": 1.5839544062285669, "deflection": 0.005077544088979835, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.001186)" }, "parent_node_id": "node_3374", "improvement_over_parent": null }, "node_3376": { "node_id": "node_3376", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0013)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0029)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0016)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0019)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0027)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0019)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0022)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0022)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0032)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0020)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0015)]\n\nPerformance:\n Mass: 110.13 kg\n Factor of Safety: 0.72\n Max Deflection: 4.12e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 110.12638324111632, "fos_buckling": 0.7225637210455165, "fos_yielding": 1.9504023396558803, "deflection": 0.004123637817794424, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.245)" }, "parent_node_id": "node_3375", "improvement_over_parent": null }, "node_3377": { "node_id": "node_3377", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0037)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0035)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0025)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0042)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0019)]\n\nPerformance:\n Mass: 142.92 kg\n Factor of Safety: 0.91\n Max Deflection: 3.18e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 142.91702388324194, "fos_buckling": 0.9066864429430176, "fos_yielding": 2.5266472001947426, "deflection": 0.003183350354916382, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.319)" }, "parent_node_id": "node_3376", "improvement_over_parent": null }, "node_3378": { "node_id": "node_3378", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0037)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0035)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0025)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0042)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0019)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n\nPerformance:\n Mass: 157.62 kg\n Factor of Safety: 1.25\n Max Deflection: 2.58e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 157.62054246832298, "fos_buckling": 1.251762402812041, "fos_yielding": 3.310310798515589, "deflection": 0.0025832173422431002, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.003288)" }, "parent_node_id": "node_3377", "improvement_over_parent": null }, "node_3379": { "node_id": "node_3379", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0049)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n\nPerformance:\n Mass: 204.68 kg\n Factor of Safety: 1.56\n Max Deflection: 2.00e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.67754446897686, "fos_buckling": 1.5562543098683976, "fos_yielding": 4.286027070036841, "deflection": 0.0019952744429585795, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.328)" }, "parent_node_id": "node_3378", "improvement_over_parent": null }, "node_3380": { "node_id": "node_3380", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3379", "improvement_over_parent": null }, "node_3381": { "node_id": "node_3381", "content": "INITIAL DESIGN (Trace 480)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0020)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0036)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0024)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0028)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0040)]\n\nPerformance:\n Mass: 128.33 kg\n Factor of Safety: 0.15\n Max Deflection: 1.70e+13 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 128.33231973709135, "fos_buckling": 0.1451227556762731, "fos_yielding": 0.5276424377553409, "deflection": 16982740363708.44, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3382": { "node_id": "node_3382", "content": "MODIFICATION: Increase 3 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0025)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0036)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0024)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0028)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0040)]\n\nPerformance:\n Mass: 129.35 kg\n Factor of Safety: 0.12\n Max Deflection: 1.60e+13 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 129.35012477336997, "fos_buckling": 0.11946942844004785, "fos_yielding": 0.43437116505671747, "deflection": 16039112411882.81, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.255)" }, "parent_node_id": "node_3381", "improvement_over_parent": null }, "node_3383": { "node_id": "node_3383", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0025)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0036)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0024)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0024)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0028)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0040)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0033)]\n\nPerformance:\n Mass: 145.53 kg\n Factor of Safety: 0.97\n Max Deflection: 2.98e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 145.5280907958093, "fos_buckling": 0.9727598014623883, "fos_yielding": 2.564494990221425, "deflection": 0.002981838238701845, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.003343)" }, "parent_node_id": "node_3382", "improvement_over_parent": null }, "node_3384": { "node_id": "node_3384", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0047)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n\nPerformance:\n Mass: 170.86 kg\n Factor of Safety: 1.11\n Max Deflection: 2.54e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 170.8564313567292, "fos_buckling": 1.1137674461683345, "fos_yielding": 3.012678325613927, "deflection": 0.0025436549746941702, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.188)" }, "parent_node_id": "node_3383", "improvement_over_parent": null }, "node_3385": { "node_id": "node_3385", "content": "MODIFICATION: Increase 2 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0047)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n\nPerformance:\n Mass: 172.05 kg\n Factor of Safety: 1.11\n Max Deflection: 2.48e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 172.05473899411618, "fos_buckling": 1.1136777269872176, "fos_yielding": 3.6278675188949734, "deflection": 0.002483380225239214, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.239)" }, "parent_node_id": "node_3384", "improvement_over_parent": null }, "node_3386": { "node_id": "node_3386", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n\nPerformance:\n Mass: 201.19 kg\n Factor of Safety: 1.26\n Max Deflection: 2.13e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 201.18738735252435, "fos_buckling": 1.2647834213814795, "fos_yielding": 4.234639583620541, "deflection": 0.0021280617635692414, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.186)" }, "parent_node_id": "node_3385", "improvement_over_parent": null }, "node_3387": { "node_id": "node_3387", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n\nPerformance:\n Mass: 204.00 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.0016192416444, "fos_buckling": 1.5441362955900375, "fos_yielding": 4.2524654090332215, "deflection": 0.002006300792914203, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.002221)" }, "parent_node_id": "node_3386", "improvement_over_parent": null }, "node_3388": { "node_id": "node_3388", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3387", "improvement_over_parent": null }, "node_3389": { "node_id": "node_3389", "content": "INITIAL DESIGN (Trace 481)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 194.66 kg\n Factor of Safety: 1.37\n Max Deflection: 2.07e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 194.6551136625123, "fos_buckling": 1.3727734485364642, "fos_yielding": 4.152972293404445, "deflection": 0.0020663471848792465, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3390": { "node_id": "node_3390", "content": "MODIFICATION: Increase 8 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 196.57 kg\n Factor of Safety: 1.39\n Max Deflection: 2.05e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 196.57483794363952, "fos_buckling": 1.39028230227175, "fos_yielding": 4.188678866402995, "deflection": 0.002048740197466403, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.185)" }, "parent_node_id": "node_3389", "improvement_over_parent": null }, "node_3391": { "node_id": "node_3391", "content": "MODIFICATION: Increase 7 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 198.24 kg\n Factor of Safety: 1.44\n Max Deflection: 2.04e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 198.23983905427417, "fos_buckling": 1.439448842238282, "fos_yielding": 4.193046050460504, "deflection": 0.0020436034688504374, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.229)" }, "parent_node_id": "node_3390", "improvement_over_parent": null }, "node_3392": { "node_id": "node_3392", "content": "MODIFICATION: Increase 10 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 201.59 kg\n Factor of Safety: 1.49\n Max Deflection: 2.02e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 201.58913341911682, "fos_buckling": 1.4905715858736561, "fos_yielding": 4.190693483347237, "deflection": 0.002018756954399768, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.195)" }, "parent_node_id": "node_3391", "improvement_over_parent": null }, "node_3393": { "node_id": "node_3393", "content": "MODIFICATION: Increase 9 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.96 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.96078859998607, "fos_buckling": 1.5437358523606253, "fos_yielding": 4.25266951315731, "deflection": 0.0020068676903787076, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.361)" }, "parent_node_id": "node_3392", "improvement_over_parent": null }, "node_3394": { "node_id": "node_3394", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3393", "improvement_over_parent": null }, "node_3395": { "node_id": "node_3395", "content": "INITIAL DESIGN (Trace 482)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0013)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0019)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0038)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0035)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0025)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0042)]\n\nPerformance:\n Mass: 148.05 kg\n Factor of Safety: 0.38\n Max Deflection: 6.99e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 148.04783642885673, "fos_buckling": 0.37825529165642313, "fos_yielding": 1.7822938379238742, "deflection": 0.006990239482233117, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3396": { "node_id": "node_3396", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0048)]\n\nPerformance:\n Mass: 167.64 kg\n Factor of Safety: 0.42\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": 167.63546236930986, "fos_buckling": 0.4202589500041973, "fos_yielding": 2.0147133018894343, "deflection": 0.006183105079076698, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.143)" }, "parent_node_id": "node_3395", "improvement_over_parent": null }, "node_3397": { "node_id": "node_3397", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 193.77 kg\n Factor of Safety: 0.47\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": 193.76714748084805, "fos_buckling": 0.473408243492467, "fos_yielding": 2.323547122997889, "deflection": 0.005360309561111705, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.171)" }, "parent_node_id": "node_3396", "improvement_over_parent": null }, "node_3398": { "node_id": "node_3398", "content": "MODIFICATION: Increase 12 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 195.99 kg\n Factor of Safety: 0.47\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": 195.98968075513898, "fos_buckling": 0.473301276858933, "fos_yielding": 2.322849547016516, "deflection": 0.005224296576778783, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.183)" }, "parent_node_id": "node_3397", "improvement_over_parent": null }, "node_3399": { "node_id": "node_3399", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n\nPerformance:\n Mass: 203.22 kg\n Factor of Safety: 1.37\n Max Deflection: 2.01e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 203.22082654334739, "fos_buckling": 1.3724409114027136, "fos_yielding": 4.249779949966891, "deflection": 0.0020127217709561187, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.003560)" }, "parent_node_id": "node_3398", "improvement_over_parent": null }, "node_3400": { "node_id": "node_3400", "content": "MODIFICATION: Increase 3 thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n\nPerformance:\n Mass: 203.82 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.82311469046232, "fos_buckling": 1.5430639167846072, "fos_yielding": 4.250425649666225, "deflection": 0.002007953986831728, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.299)" }, "parent_node_id": "node_3399", "improvement_over_parent": null }, "node_3401": { "node_id": "node_3401", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3400", "improvement_over_parent": null }, "node_3402": { "node_id": "node_3402", "content": "INITIAL DESIGN (Trace 483)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0038)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0035)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0025)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0029)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0042)]\n\nPerformance:\n Mass: 142.96 kg\n Factor of Safety: 0.77\n Max Deflection: 3.17e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 142.95980598869605, "fos_buckling": 0.7706695334257913, "fos_yielding": 2.69187052685605, "deflection": 0.0031745954280608087, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3403": { "node_id": "node_3403", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0038)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0035)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0025)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0029)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0042)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0019)]\n\nPerformance:\n Mass: 145.89 kg\n Factor of Safety: 0.78\n Max Deflection: 3.18e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 145.892388900469, "fos_buckling": 0.7837445616136739, "fos_yielding": 2.6691615207765804, "deflection": 0.003175089015137661, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.001939)" }, "parent_node_id": "node_3402", "improvement_over_parent": null }, "node_3404": { "node_id": "node_3404", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0032)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0046)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0042)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0050)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n\nPerformance:\n Mass: 171.29 kg\n Factor of Safety: 0.90\n Max Deflection: 2.71e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 171.2857613270576, "fos_buckling": 0.8993683099403202, "fos_yielding": 3.1304531586948148, "deflection": 0.002707435483284865, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.189)" }, "parent_node_id": "node_3403", "improvement_over_parent": null }, "node_3405": { "node_id": "node_3405", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n\nPerformance:\n Mass: 190.61 kg\n Factor of Safety: 0.98\n Max Deflection: 2.44e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 190.61348523124883, "fos_buckling": 0.9832271858437877, "fos_yielding": 3.4809084904627134, "deflection": 0.0024350000716481567, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.124)" }, "parent_node_id": "node_3404", "improvement_over_parent": null }, "node_3406": { "node_id": "node_3406", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 203.94 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93701930289407, "fos_buckling": 1.543717070235064, "fos_yielding": 4.252628254641711, "deflection": 0.0020069522692779318, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.004024)" }, "parent_node_id": "node_3405", "improvement_over_parent": null }, "node_3407": { "node_id": "node_3407", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3406", "improvement_over_parent": null }, "node_3408": { "node_id": "node_3408", "content": "INITIAL DESIGN (Trace 484)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0020)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0024)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0031)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0028)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0040)]\n\nPerformance:\n Mass: 144.28 kg\n Factor of Safety: 0.90\n Max Deflection: 2.82e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 144.27711323557665, "fos_buckling": 0.8952550077076512, "fos_yielding": 3.1553884525652047, "deflection": 0.0028183017849317065, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3409": { "node_id": "node_3409", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0024)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0048)]\n\nPerformance:\n Mass: 168.74 kg\n Factor of Safety: 1.03\n Max Deflection: 2.41e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 168.7440509821748, "fos_buckling": 1.034136403617182, "fos_yielding": 3.6836163679130283, "deflection": 0.002413280530500694, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.183)" }, "parent_node_id": "node_3408", "improvement_over_parent": null }, "node_3410": { "node_id": "node_3410", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0028)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 195.55 kg\n Factor of Safety: 1.18\n Max Deflection: 2.09e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 195.5492521877861, "fos_buckling": 1.1775735657972326, "fos_yielding": 4.2599819055013715, "deflection": 0.002085886861701198, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.174)" }, "parent_node_id": "node_3409", "improvement_over_parent": null }, "node_3411": { "node_id": "node_3411", "content": "MODIFICATION: Increase 10 thickness by 66%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.9293915728557, "fos_buckling": 1.543571280436837, "fos_yielding": 4.252141309283133, "deflection": 0.002007077231718781, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.664)" }, "parent_node_id": "node_3410", "improvement_over_parent": null }, "node_3412": { "node_id": "node_3412", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3411", "improvement_over_parent": null }, "node_3413": { "node_id": "node_3413", "content": "INITIAL DESIGN (Trace 485)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0012)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0015)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0015)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0014)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0010)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0020)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0013)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0010)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0019)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0013)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0017)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0016)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0015)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0022)]\n\nPerformance:\n Mass: 82.69 kg\n Factor of Safety: 0.59\n Max Deflection: 5.10e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 82.69478199429903, "fos_buckling": 0.5893697299322599, "fos_yielding": 1.7499711528094846, "deflection": 0.005102503957550591, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3414": { "node_id": "node_3414", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0014)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0017)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0017)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0017)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0012)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0024)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0016)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0012)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0022)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0016)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0020)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0018)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0018)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0026)]\n\nPerformance:\n Mass: 97.07 kg\n Factor of Safety: 0.68\n Max Deflection: 4.35e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 97.06767395507553, "fos_buckling": 0.6824377450787215, "fos_yielding": 2.0523200804973802, "deflection": 0.0043515077557057195, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.181)" }, "parent_node_id": "node_3413", "improvement_over_parent": null }, "node_3415": { "node_id": "node_3415", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0020)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0015)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0019)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0015)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0027)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0019)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0025)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0022)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0022)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0032)]\n\nPerformance:\n Mass: 117.11 kg\n Factor of Safety: 0.81\n Max Deflection: 3.61e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 117.10632344640689, "fos_buckling": 0.8076294627267931, "fos_yielding": 2.472970510405289, "deflection": 0.003612144979498837, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.217)" }, "parent_node_id": "node_3414", "improvement_over_parent": null }, "node_3416": { "node_id": "node_3416", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0019)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0019)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0035)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0025)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0042)]\n\nPerformance:\n Mass: 153.01 kg\n Factor of Safety: 1.02\n Max Deflection: 2.77e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 153.01315455918723, "fos_buckling": 1.01877878113683, "fos_yielding": 3.2241682765673145, "deflection": 0.0027717037785469864, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.328)" }, "parent_node_id": "node_3415", "improvement_over_parent": null }, "node_3417": { "node_id": "node_3417", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 199.06 kg\n Factor of Safety: 1.27\n Max Deflection: 2.14e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 199.05778676276313, "fos_buckling": 1.265097831633108, "fos_yielding": 4.182702895059081, "deflection": 0.002137688002168899, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.330)" }, "parent_node_id": "node_3416", "improvement_over_parent": null }, "node_3418": { "node_id": "node_3418", "content": "MODIFICATION: Increase 8 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 201.25 kg\n Factor of Safety: 1.27\n Max Deflection: 2.13e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 201.24691747756063, "fos_buckling": 1.265097831633108, "fos_yielding": 4.237386208018861, "deflection": 0.002127488223257207, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.325)" }, "parent_node_id": "node_3417", "improvement_over_parent": null }, "node_3419": { "node_id": "node_3419", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n\nPerformance:\n Mass: 204.06 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.06114936668067, "fos_buckling": 1.5444917799272457, "fos_yielding": 4.2552244297244, "deflection": 0.002005762327937639, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.002221)" }, "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "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 486)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0032)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0046)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0031)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0042)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0035)]\n\nPerformance:\n Mass: 153.40 kg\n Factor of Safety: 0.22\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": 153.39862169578433, "fos_buckling": 0.22061324726037515, "fos_yielding": 1.3641189598696122, "deflection": 0.006802968197884143, "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 9 thickness by 41%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0032)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0046)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0031)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0042)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0035)]\n\nPerformance:\n Mass: 155.77 kg\n Factor of Safety: 0.29\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": 155.7660615540213, "fos_buckling": 0.2911275205563289, "fos_yielding": 1.569642134114699, "deflection": 0.006295181711268581, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.410)" }, "parent_node_id": "node_3421", "improvement_over_parent": null }, "node_3423": { "node_id": "node_3423", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 172.63 kg\n Factor of Safety: 0.32\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": 172.63317740894783, "fos_buckling": 0.3166471644560035, "fos_yielding": 1.7377795287602542, "deflection": 0.005685869379684114, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.119)" }, "parent_node_id": "node_3422", "improvement_over_parent": null }, "node_3424": { "node_id": "node_3424", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n\nPerformance:\n Mass: 203.94 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.94272775387665, "fos_buckling": 1.543810974823701, "fos_yielding": 4.2527259566696065, "deflection": 0.002006863483017206, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.005592)" }, "parent_node_id": "node_3423", "improvement_over_parent": null }, "node_3425": { "node_id": "node_3425", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3424", "improvement_over_parent": null }, "node_3426": { "node_id": "node_3426", "content": "INITIAL DESIGN (Trace 487)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0016)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0019)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0012)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0018)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0013)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0017)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0017)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0024)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0017)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0022)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0020)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0028)]\n\nPerformance:\n Mass: 96.78 kg\n Factor of Safety: 0.73\n Max Deflection: 4.64e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 96.77904854101794, "fos_buckling": 0.7340727116969704, "fos_yielding": 1.2245130877829027, "deflection": 0.004644362407832318, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3427": { "node_id": "node_3427", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0015)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0023)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0017)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0030)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0021)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0036)]\n\nPerformance:\n Mass: 120.47 kg\n Factor of Safety: 0.89\n Max Deflection: 3.73e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 120.46932454733285, "fos_buckling": 0.8914135294141641, "fos_yielding": 1.5281630902332737, "deflection": 0.0037343990983281705, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.259)" }, "parent_node_id": "node_3426", "improvement_over_parent": null }, "node_3428": { "node_id": "node_3428", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0015)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0023)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0017)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0030)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0021)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0036)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n\nPerformance:\n Mass: 122.32 kg\n Factor of Safety: 0.89\n Max Deflection: 3.57e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 122.32265921576185, "fos_buckling": 0.8926138782294221, "fos_yielding": 1.5280666848127447, "deflection": 0.003565210921115399, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.001416)" }, "parent_node_id": "node_3427", "improvement_over_parent": null }, "node_3429": { "node_id": "node_3429", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0015)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0023)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0017)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0030)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0021)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0036)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0025)]\n\nPerformance:\n Mass: 132.50 kg\n Factor of Safety: 1.09\n Max Deflection: 3.21e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 132.49679795367086, "fos_buckling": 1.0871800607452073, "fos_yielding": 1.9153311748993358, "deflection": 0.0032129208283299174, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.002504)" }, "parent_node_id": "node_3428", "improvement_over_parent": null }, "node_3430": { "node_id": "node_3430", "content": "MODIFICATION: Increase 2 thickness by 55%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0023)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0017)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0030)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0021)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0036)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0025)]\n\nPerformance:\n Mass: 134.23 kg\n Factor of Safety: 1.08\n Max Deflection: 3.04e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 134.23004978334814, "fos_buckling": 1.0832033395029195, "fos_yielding": 2.8111262209123704, "deflection": 0.003035890867890587, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.546)" }, "parent_node_id": "node_3429", "improvement_over_parent": null }, "node_3431": { "node_id": "node_3431", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0043)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n\nPerformance:\n Mass: 159.15 kg\n Factor of Safety: 1.26\n Max Deflection: 2.56e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 159.1458449622647, "fos_buckling": 1.2557312715101898, "fos_yielding": 3.327924583311114, "deflection": 0.0025646119389499226, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.199)" }, "parent_node_id": "node_3430", "improvement_over_parent": null }, "node_3432": { "node_id": "node_3432", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 203.95 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.945008559092, "fos_buckling": 1.5437391745997988, "fos_yielding": 4.253246558682878, "deflection": 0.002006900086591423, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.309)" }, "parent_node_id": "node_3431", "improvement_over_parent": null }, "node_3433": { "node_id": "node_3433", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3432", "improvement_over_parent": null }, "node_3434": { "node_id": "node_3434", "content": "INITIAL DESIGN (Trace 488)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0017)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0020)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0012)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0014)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0015)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0014)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0019)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0026)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0019)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0024)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0022)]\n\nPerformance:\n Mass: 87.04 kg\n Factor of Safety: 0.20\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": 87.04352165512817, "fos_buckling": 0.19885587209635275, "fos_yielding": 1.012678841637656, "deflection": 0.010710603432533454, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3435": { "node_id": "node_3435", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0017)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0020)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0012)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0014)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0015)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0014)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0019)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0026)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0019)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0024)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0022)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0031)]\n\nPerformance:\n Mass: 105.18 kg\n Factor of Safety: 0.60\n Max Deflection: 3.86e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 105.18119733387636, "fos_buckling": 0.5970652859072102, "fos_yielding": 2.0389459573970794, "deflection": 0.0038635758624789556, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.003114)" }, "parent_node_id": "node_3434", "improvement_over_parent": null }, "node_3436": { "node_id": "node_3436", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0031)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0022)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0026)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0037)]\n\nPerformance:\n Mass: 123.15 kg\n Factor of Safety: 0.69\n Max Deflection: 3.30e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 123.15454526489049, "fos_buckling": 0.6872603427612352, "fos_yielding": 2.3842862241359835, "deflection": 0.003303182314072025, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.181)" }, "parent_node_id": "node_3435", "improvement_over_parent": null }, "node_3437": { "node_id": "node_3437", "content": "MODIFICATION: Increase 7 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0022)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0031)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0022)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0026)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0037)]\n\nPerformance:\n Mass: 124.44 kg\n Factor of Safety: 0.69\n Max Deflection: 3.26e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 124.43779372401266, "fos_buckling": 0.6873812752061413, "fos_yielding": 2.3840778343108058, "deflection": 0.0032613148165568035, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.259)" }, "parent_node_id": "node_3436", "improvement_over_parent": null }, "node_3438": { "node_id": "node_3438", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0042)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0046)]\n\nPerformance:\n Mass: 153.11 kg\n Factor of Safety: 0.82\n Max Deflection: 2.66e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 153.10542215227855, "fos_buckling": 0.8229035221241249, "fos_yielding": 2.9276447017912752, "deflection": 0.0026552814087124417, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.248)" }, "parent_node_id": "node_3437", "improvement_over_parent": null }, "node_3439": { "node_id": "node_3439", "content": "MODIFICATION: Increase 8 thickness by 61%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0042)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0046)]\n\nPerformance:\n Mass: 157.12 kg\n Factor of Safety: 0.82\n Max Deflection: 2.63e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 157.12443348624473, "fos_buckling": 0.8224503411049189, "fos_yielding": 2.9260454683734656, "deflection": 0.0026336184912796857, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.610)" }, "parent_node_id": "node_3438", "improvement_over_parent": null }, "node_3440": { "node_id": "node_3440", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0042)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0039)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0046)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n\nPerformance:\n Mass: 170.11 kg\n Factor of Safety: 1.33\n Max Deflection: 2.40e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 170.11060362456973, "fos_buckling": 1.3290192078915677, "fos_yielding": 3.5546951592748086, "deflection": 0.0024008399839089488, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.003235)" }, "parent_node_id": "node_3439", "improvement_over_parent": null }, "node_3441": { "node_id": "node_3441", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n\nPerformance:\n Mass: 204.18 kg\n Factor of Safety: 1.55\n Max Deflection: 2.00e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.18278309622775, "fos_buckling": 1.5453778673362397, "fos_yielding": 4.257947826159792, "deflection": 0.002004494244803739, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.220)" }, "parent_node_id": "node_3440", "improvement_over_parent": null }, "node_3442": { "node_id": "node_3442", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3441", "improvement_over_parent": null }, "node_3443": { "node_id": "node_3443", "content": "INITIAL DESIGN (Trace 489)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0017)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0012)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0019)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0019)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0026)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0019)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0024)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0022)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0022)]\n\nPerformance:\n Mass: 99.33 kg\n Factor of Safety: 0.20\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": 99.33373431395526, "fos_buckling": 0.19961863411436395, "fos_yielding": 1.0171385370370067, "deflection": 0.009714987622969162, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3444": { "node_id": "node_3444", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0017)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0012)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0019)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0019)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0026)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0019)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0024)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0022)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0022)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0031)]\n\nPerformance:\n Mass: 117.58 kg\n Factor of Safety: 0.99\n Max Deflection: 3.58e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 117.57665794536304, "fos_buckling": 0.9906059632347517, "fos_yielding": 1.8437294624022562, "deflection": 0.0035759089076491456, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.003133)" }, "parent_node_id": "node_3443", "improvement_over_parent": null }, "node_3445": { "node_id": "node_3445", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0032)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0023)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0027)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0038)]\n\nPerformance:\n Mass: 141.36 kg\n Factor of Safety: 1.17\n Max Deflection: 2.98e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 141.36377259140536, "fos_buckling": 1.1664143523322803, "fos_yielding": 2.219762864197793, "deflection": 0.00297753128307383, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.215)" }, "parent_node_id": "node_3444", "improvement_over_parent": null }, "node_3446": { "node_id": "node_3446", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0038)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0045)]\n\nPerformance:\n Mass: 165.41 kg\n Factor of Safety: 1.34\n Max Deflection: 2.55e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 165.40817136407406, "fos_buckling": 1.3357639184533288, "fos_yielding": 2.601220257035059, "deflection": 0.002547547413009784, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.183)" }, "parent_node_id": "node_3445", "improvement_over_parent": null }, "node_3447": { "node_id": "node_3447", "content": "MODIFICATION: Increase 2 thickness by 40%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0038)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0032)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0045)]\n\nPerformance:\n Mass: 167.14 kg\n Factor of Safety: 1.31\n Max Deflection: 2.44e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 167.13560191470825, "fos_buckling": 1.3093374122819605, "fos_yielding": 3.4921512925663665, "deflection": 0.002443230767614597, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.403)" }, "parent_node_id": "node_3446", "improvement_over_parent": null }, "node_3448": { "node_id": "node_3448", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n\nPerformance:\n Mass: 203.82 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.8194123159766, "fos_buckling": 1.5431466536999945, "fos_yielding": 4.24926779203162, "deflection": 0.0020081132330214556, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.241)" }, "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "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 490)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0016)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0019)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0011)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0018)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0013)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0011)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0018)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0024)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0017)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0017)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0013)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0020)]\n\nPerformance:\n Mass: 85.60 kg\n Factor of Safety: 0.19\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": 85.59546151208374, "fos_buckling": 0.1861797839138133, "fos_yielding": 0.9416174150971268, "deflection": 0.010713229147244617, "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 7 thickness by 66%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0016)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0019)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0011)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0018)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0013)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0018)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0024)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0017)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0017)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0013)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0020)]\n\nPerformance:\n Mass: 87.60 kg\n Factor of Safety: 0.19\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": 87.59925475470725, "fos_buckling": 0.18615436473949157, "fos_yielding": 0.9414886512005832, "deflection": 0.010638324515771194, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.656)" }, "parent_node_id": "node_3450", "improvement_over_parent": null }, "node_3452": { "node_id": "node_3452", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0028)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0020)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0020)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0014)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0023)]\n\nPerformance:\n Mass: 99.10 kg\n Factor of Safety: 0.21\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": 99.09789570806966, "fos_buckling": 0.20786952241467174, "fos_yielding": 1.064030255477533, "deflection": 0.009412033583703407, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.138)" }, "parent_node_id": "node_3451", "improvement_over_parent": null }, "node_3453": { "node_id": "node_3453", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0019)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n\nPerformance:\n Mass: 127.29 kg\n Factor of Safety: 0.26\n Max Deflection: 7.34e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 127.29476480766712, "fos_buckling": 0.2584820375397559, "fos_yielding": 1.3634662281611354, "deflection": 0.0073428523006578246, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.304)" }, "parent_node_id": "node_3452", "improvement_over_parent": null }, "node_3454": { "node_id": "node_3454", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0019)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0043)]\n\nPerformance:\n Mass: 151.77 kg\n Factor of Safety: 1.00\n Max Deflection: 2.65e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 151.7749279984275, "fos_buckling": 1.0040502970422929, "fos_yielding": 3.3440514333674236, "deflection": 0.0026453651401163133, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.004281)" }, "parent_node_id": "node_3453", "improvement_over_parent": null }, "node_3455": { "node_id": "node_3455", "content": "MODIFICATION: Increase 13 thickness by 60%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0043)]\n\nPerformance:\n Mass: 156.15 kg\n Factor of Safety: 1.11\n Max Deflection: 2.60e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 156.1491205520638, "fos_buckling": 1.1123161959357049, "fos_yielding": 3.3240632729272015, "deflection": 0.002601284325794114, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.600)" }, "parent_node_id": "node_3454", "improvement_over_parent": null }, "node_3456": { "node_id": "node_3456", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n\nPerformance:\n Mass: 199.62 kg\n Factor of Safety: 1.39\n Max Deflection: 2.04e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 199.6159451566215, "fos_buckling": 1.3856357872046157, "fos_yielding": 4.23714182130371, "deflection": 0.002040286840431191, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.305)" }, "parent_node_id": "node_3455", "improvement_over_parent": null }, "node_3457": { "node_id": "node_3457", "content": "MODIFICATION: Increase 12 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n\nPerformance:\n Mass: 203.83 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.83087705379776, "fos_buckling": 1.54285902597123, "fos_yielding": 4.250866052991661, "deflection": 0.002008079190160746, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.311)" }, "parent_node_id": "node_3456", "improvement_over_parent": null }, "node_3458": { "node_id": "node_3458", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3457", "improvement_over_parent": null }, "node_3459": { "node_id": "node_3459", "content": "INITIAL DESIGN (Trace 491)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0022)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0020)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0026)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0023)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0033)]\n\nPerformance:\n Mass: 119.19 kg\n Factor of Safety: 0.81\n Max Deflection: 3.37e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 119.19180567136749, "fos_buckling": 0.8135535232778717, "fos_yielding": 2.160625675278492, "deflection": 0.003366277736781153, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3460": { "node_id": "node_3460", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0025)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0022)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0026)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0037)]\n\nPerformance:\n Mass: 132.81 kg\n Factor of Safety: 0.90\n Max Deflection: 3.02e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 132.8106017502891, "fos_buckling": 0.8992518292792258, "fos_yielding": 2.4095585258879693, "deflection": 0.0030238817139218183, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.121)" }, "parent_node_id": "node_3459", "improvement_over_parent": null }, "node_3461": { "node_id": "node_3461", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0028)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0025)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0029)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0042)]\n\nPerformance:\n Mass: 148.24 kg\n Factor of Safety: 0.99\n Max Deflection: 2.71e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 148.24171510276886, "fos_buckling": 0.9945430348085834, "fos_yielding": 2.692236525203084, "deflection": 0.0027119513099957914, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.124)" }, "parent_node_id": "node_3460", "improvement_over_parent": null }, "node_3462": { "node_id": "node_3462", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0032)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0031)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0028)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0037)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0047)]\n\nPerformance:\n Mass: 165.31 kg\n Factor of Safety: 1.10\n Max Deflection: 2.43e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 165.3130599155024, "fos_buckling": 1.097715259590162, "fos_yielding": 3.0057767672411075, "deflection": 0.002434717400933234, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.124)" }, "parent_node_id": "node_3461", "improvement_over_parent": null }, "node_3463": { "node_id": "node_3463", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 194.48 kg\n Factor of Safety: 1.27\n Max Deflection: 2.07e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 194.48307461102766, "fos_buckling": 1.2685220546344775, "fos_yielding": 3.543686432168349, "deflection": 0.0020736478419726666, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.193)" }, "parent_node_id": "node_3462", "improvement_over_parent": null }, "node_3464": { "node_id": "node_3464", "content": "MODIFICATION: Increase 10 thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 198.85 kg\n Factor of Safety: 1.29\n Max Deflection: 2.04e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 198.8507816439274, "fos_buckling": 1.2909485000775383, "fos_yielding": 3.6063359463395774, "deflection": 0.002036995382249329, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.269)" }, "parent_node_id": "node_3463", "improvement_over_parent": null }, "node_3465": { "node_id": "node_3465", "content": "MODIFICATION: Increase 6 thickness by 34%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.92 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.92210748260203, "fos_buckling": 1.54373099439991, "fos_yielding": 4.2526771040471525, "deflection": 0.0020070268250221694, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.337)" }, "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "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 492)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0017)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0020)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0012)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0009)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0019)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0019)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0019)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0024)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0022)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0018)]\n\nPerformance:\n Mass: 84.83 kg\n Factor of Safety: 0.14\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": 84.82530202222672, "fos_buckling": 0.13523042441971023, "fos_yielding": 0.665293179462505, "deflection": 0.012097793444425468, "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: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0011)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0023)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0023)]\n\nPerformance:\n Mass: 102.72 kg\n Factor of Safety: 0.16\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": 102.72121936266115, "fos_buckling": 0.16199253812155856, "fos_yielding": 0.807711027269355, "deflection": 0.009994084792406181, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.224)" }, "parent_node_id": "node_3467", "improvement_over_parent": null }, "node_3469": { "node_id": "node_3469", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0014)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0042)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0028)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0027)]\n\nPerformance:\n Mass: 122.00 kg\n Factor of Safety: 0.19\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": 122.00491237320027, "fos_buckling": 0.1901360350343112, "fos_yielding": 0.9621538814632707, "deflection": 0.008417703540873248, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.202)" }, "parent_node_id": "node_3468", "improvement_over_parent": null }, "node_3470": { "node_id": "node_3470", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n\nPerformance:\n Mass: 146.94 kg\n Factor of Safety: 0.23\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": 146.94226969816467, "fos_buckling": 0.22545921356713947, "fos_yielding": 1.1635603146188822, "deflection": 0.006992173660183057, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.224)" }, "parent_node_id": "node_3469", "improvement_over_parent": null }, "node_3471": { "node_id": "node_3471", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n\nPerformance:\n Mass: 178.25 kg\n Factor of Safety: 0.34\n Max Deflection: 3.21e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 178.2518200430935, "fos_buckling": 0.33920413138420114, "fos_yielding": 2.5257910516150135, "deflection": 0.003209953381708259, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.005592)" }, "parent_node_id": "node_3470", "improvement_over_parent": null }, "node_3472": { "node_id": "node_3472", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0056)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n\nPerformance:\n Mass: 200.45 kg\n Factor of Safety: 1.42\n Max Deflection: 2.02e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 200.45480472680728, "fos_buckling": 1.4150001660719314, "fos_yielding": 4.161578943077511, "deflection": 0.002024405638784642, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.004709)" }, "parent_node_id": "node_3471", "improvement_over_parent": null }, "node_3473": { "node_id": "node_3473", "content": "MODIFICATION: Increase 14 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0066)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n\nPerformance:\n Mass: 205.46 kg\n Factor of Safety: 1.57\n Max Deflection: 1.94e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 205.45848437300668, "fos_buckling": 1.570872640621075, "fos_yielding": 4.083399692742571, "deflection": 0.0019444076882908022, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.179)" }, "parent_node_id": "node_3472", "improvement_over_parent": null }, "node_3474": { "node_id": "node_3474", "content": "MODIFICATION: Increase 5 thickness by 54%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0336, t=0.0066)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n\nPerformance:\n Mass: 206.73 kg\n Factor of Safety: 1.58\n Max Deflection: 1.94e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 206.72770551415988, "fos_buckling": 1.57794246859611, "fos_yielding": 4.125450012722747, "deflection": 0.0019369517445143086, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.543)" }, "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "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 493)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0032)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0024)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0035)]\n\nPerformance:\n Mass: 123.73 kg\n Factor of Safety: 0.87\n Max Deflection: 3.30e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 123.73357324013473, "fos_buckling": 0.8726607756596649, "fos_yielding": 2.732926375396113, "deflection": 0.0032961340180800444, "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: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0036)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0042)]\n\nPerformance:\n Mass: 149.14 kg\n Factor of Safety: 1.03\n Max Deflection: 2.74e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 149.1425020757389, "fos_buckling": 1.0253068071753235, "fos_yielding": 3.288923924604072, "deflection": 0.0027394238587636027, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.220)" }, "parent_node_id": "node_3476", "improvement_over_parent": null }, "node_3478": { "node_id": "node_3478", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 192.76 kg\n Factor of Safety: 1.27\n Max Deflection: 2.13e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 192.75525178988653, "fos_buckling": 1.2666906726753355, "fos_yielding": 4.239164757794948, "deflection": 0.0021260325837148663, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.321)" }, "parent_node_id": "node_3477", "improvement_over_parent": null }, "node_3479": { "node_id": "node_3479", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n\nPerformance:\n Mass: 204.08 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.07989379199338, "fos_buckling": 1.544645079561639, "fos_yielding": 4.25575906837274, "deflection": 0.0020055109946717454, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.003363)" }, "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "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 494)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0012)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nPerformance:\n Mass: 151.78 kg\n Factor of Safety: 1.07\n Max Deflection: 2.69e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 151.77978700391958, "fos_buckling": 1.0671060914799395, "fos_yielding": 2.841804129273237, "deflection": 0.0026942660287800355, "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 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0032)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0046)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0031)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0042)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0050)]\n\nPerformance:\n Mass: 169.11 kg\n Factor of Safety: 1.17\n Max Deflection: 2.42e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 169.1064978305898, "fos_buckling": 1.1684738542427207, "fos_yielding": 3.162661153141432, "deflection": 0.0024209447164636943, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.124)" }, "parent_node_id": "node_3481", "improvement_over_parent": null }, "node_3483": { "node_id": "node_3483", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 187.58 kg\n Factor of Safety: 1.27\n Max Deflection: 2.19e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 187.57920174523352, "fos_buckling": 1.2719866894460123, "fos_yielding": 3.5039424894735425, "deflection": 0.0021851593462916103, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.120)" }, "parent_node_id": "node_3482", "improvement_over_parent": null }, "node_3484": { "node_id": "node_3484", "content": "MODIFICATION: Increase 3 thickness by 49%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 188.45 kg\n Factor of Safety: 1.27\n Max Deflection: 2.18e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 188.44817075390932, "fos_buckling": 1.2719492219809252, "fos_yielding": 3.5038392778251928, "deflection": 0.0021781224820271177, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.490)" }, "parent_node_id": "node_3483", "improvement_over_parent": null }, "node_3485": { "node_id": "node_3485", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n\nPerformance:\n Mass: 203.90 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.89907526765012, "fos_buckling": 1.5434837391727012, "fos_yielding": 4.251835573730877, "deflection": 0.002007336242583988, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003928)" }, "parent_node_id": "node_3484", "improvement_over_parent": null }, "node_3486": { "node_id": "node_3486", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3485", "improvement_over_parent": null }, "node_3487": { "node_id": "node_3487", "content": "INITIAL DESIGN (Trace 495)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0016)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0019)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0011)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0018)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0009)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0018)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0024)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0017)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0022)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0020)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0029)]\n\nPerformance:\n Mass: 100.48 kg\n Factor of Safety: 0.74\n Max Deflection: 4.04e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 100.47574642686561, "fos_buckling": 0.7437250905827519, "fos_yielding": 1.8907896252476, "deflection": 0.004035683304642804, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3488": { "node_id": "node_3488", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0011)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0032)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0029)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0021)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0034)]\n\nPerformance:\n Mass: 119.50 kg\n Factor of Safety: 0.87\n Max Deflection: 3.40e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 119.49721164922934, "fos_buckling": 0.8684949125779253, "fos_yielding": 2.2459512777566344, "deflection": 0.003397621298961628, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.200)" }, "parent_node_id": "node_3487", "improvement_over_parent": null }, "node_3489": { "node_id": "node_3489", "content": "MODIFICATION: Increase 5 thickness by 49%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0032)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0029)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0021)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0034)]\n\nPerformance:\n Mass: 120.27 kg\n Factor of Safety: 0.87\n Max Deflection: 3.40e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 120.26937900896073, "fos_buckling": 0.8684492522495817, "fos_yielding": 2.2458331989155256, "deflection": 0.0033977926695657286, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.488)" }, "parent_node_id": "node_3488", "improvement_over_parent": null }, "node_3490": { "node_id": "node_3490", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nPerformance:\n Mass: 151.28 kg\n Factor of Safety: 1.06\n Max Deflection: 2.71e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 151.27958589008028, "fos_buckling": 1.059873279581997, "fos_yielding": 2.819384856864767, "deflection": 0.002706724316779469, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.277)" }, "parent_node_id": "node_3489", "improvement_over_parent": null }, "node_3491": { "node_id": "node_3491", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0026)]\n\nPerformance:\n Mass: 161.81 kg\n Factor of Safety: 1.27\n Max Deflection: 2.50e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 161.81343085947458, "fos_buckling": 1.272509617408881, "fos_yielding": 3.3850219782428397, "deflection": 0.0025048314211158287, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.002598)" }, "parent_node_id": "node_3490", "improvement_over_parent": null }, "node_3492": { "node_id": "node_3492", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n\nPerformance:\n Mass: 201.51 kg\n Factor of Safety: 1.53\n Max Deflection: 2.02e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 201.50503155648653, "fos_buckling": 1.526745943327087, "fos_yielding": 4.205334545763396, "deflection": 0.0020167173566547772, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.269)" }, "parent_node_id": "node_3491", "improvement_over_parent": null }, "node_3493": { "node_id": "node_3493", "content": "MODIFICATION: Increase 14 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0066)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0033)]\n\nPerformance:\n Mass: 206.81 kg\n Factor of Safety: 1.58\n Max Deflection: 1.93e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 206.80667199915334, "fos_buckling": 1.5775042074231773, "fos_yielding": 4.1175521378896445, "deflection": 0.001934184210312114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.190)" }, "parent_node_id": "node_3492", "improvement_over_parent": null }, "node_3494": { "node_id": "node_3494", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3493", "improvement_over_parent": null }, "node_3495": { "node_id": "node_3495", "content": "INITIAL DESIGN (Trace 496)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0023)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0027)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0038)]\n\nPerformance:\n Mass: 126.23 kg\n Factor of Safety: 0.25\n Max Deflection: 4.57e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 126.23348210493909, "fos_buckling": 0.2502038650997067, "fos_yielding": 1.765943064213885, "deflection": 0.004567791025204064, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3496": { "node_id": "node_3496", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0023)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0027)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0038)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0032)]\n\nPerformance:\n Mass: 141.66 kg\n Factor of Safety: 1.14\n Max Deflection: 2.88e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 141.6561219523661, "fos_buckling": 1.135569029797204, "fos_yielding": 2.9649754774419708, "deflection": 0.0028780537865162924, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.003177)" }, "parent_node_id": "node_3495", "improvement_over_parent": null }, "node_3497": { "node_id": "node_3497", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n\nPerformance:\n Mass: 164.06 kg\n Factor of Safety: 1.29\n Max Deflection: 2.49e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 164.0592206989747, "fos_buckling": 1.2887279334148127, "fos_yielding": 3.4292611443050847, "deflection": 0.0024885467386654733, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.170)" }, "parent_node_id": "node_3496", "improvement_over_parent": null }, "node_3498": { "node_id": "node_3498", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0032)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0046)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0031)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0031)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0050)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0042)]\n\nPerformance:\n Mass: 184.59 kg\n Factor of Safety: 1.42\n Max Deflection: 2.21e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 184.58659406484043, "fos_buckling": 1.4227960090257874, "fos_yielding": 3.8535763839181394, "deflection": 0.002214656974161198, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.136)" }, "parent_node_id": "node_3497", "improvement_over_parent": null }, "node_3499": { "node_id": "node_3499", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n\nPerformance:\n Mass: 203.90 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.90255967485555, "fos_buckling": 1.5434991473392765, "fos_yielding": 4.251896026885415, "deflection": 0.0020072913260903236, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.115)" }, "parent_node_id": "node_3498", "improvement_over_parent": null }, "node_3500": { "node_id": "node_3500", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3499", "improvement_over_parent": null }, "node_3501": { "node_id": "node_3501", "content": "INITIAL DESIGN (Trace 497)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 172.20 kg\n Factor of Safety: 0.99\n Max Deflection: 2.59e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 172.20090845881123, "fos_buckling": 0.9920158345372184, "fos_yielding": 3.280258651096437, "deflection": 0.0025890530524986604, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3502": { "node_id": "node_3502", "content": "MODIFICATION: Increase 0 thickness by 34%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 173.51 kg\n Factor of Safety: 0.99\n Max Deflection: 2.55e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 173.50655828543842, "fos_buckling": 0.9920609616055984, "fos_yielding": 3.280113287011201, "deflection": 0.0025508656447051203, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.342)" }, "parent_node_id": "node_3501", "improvement_over_parent": null }, "node_3503": { "node_id": "node_3503", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n\nPerformance:\n Mass: 192.61 kg\n Factor of Safety: 1.27\n Max Deflection: 2.13e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 192.61027760823183, "fos_buckling": 1.265921267770483, "fos_yielding": 4.235977509193521, "deflection": 0.0021276078533573693, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.004368)" }, "parent_node_id": "node_3502", "improvement_over_parent": null }, "node_3504": { "node_id": "node_3504", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93491961033868, "fos_buckling": 1.5436973915708319, "fos_yielding": 4.252563561722707, "deflection": 0.0020069721366845956, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.003363)" }, "parent_node_id": "node_3503", "improvement_over_parent": null }, "node_3505": { "node_id": "node_3505", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3504", "improvement_over_parent": null }, "node_3506": { "node_id": "node_3506", "content": "INITIAL DESIGN (Trace 498)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0020)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0019)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0025)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0023)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0032)]\n\nPerformance:\n Mass: 109.22 kg\n Factor of Safety: 0.22\n Max Deflection: 5.27e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 109.21969976082949, "fos_buckling": 0.22038006001561664, "fos_yielding": 1.530949161515877, "deflection": 0.005270191097824313, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3507": { "node_id": "node_3507", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0025)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0025)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0032)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0041)]\n\nPerformance:\n Mass: 137.72 kg\n Factor of Safety: 0.27\n Max Deflection: 4.19e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 137.71676630224212, "fos_buckling": 0.26965752120894654, "fos_yielding": 1.924026464358034, "deflection": 0.004191811712041129, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.279)" }, "parent_node_id": "node_3506", "improvement_over_parent": null }, "node_3508": { "node_id": "node_3508", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0045)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0049)]\n\nPerformance:\n Mass: 159.83 kg\n Factor of Safety: 0.31\n Max Deflection: 3.62e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 159.82978365939445, "fos_buckling": 0.3055939733389611, "fos_yielding": 2.227261618962571, "deflection": 0.003619987296976687, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.174)" }, "parent_node_id": "node_3507", "improvement_over_parent": null }, "node_3509": { "node_id": "node_3509", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0045)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0030)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0038)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0049)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0041)]\n\nPerformance:\n Mass: 179.33 kg\n Factor of Safety: 1.39\n Max Deflection: 2.28e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 179.33143696481395, "fos_buckling": 1.3892149541487377, "fos_yielding": 3.7455946906087645, "deflection": 0.0022786964954283895, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.004087)" }, "parent_node_id": "node_3508", "improvement_over_parent": null }, "node_3510": { "node_id": "node_3510", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n\nPerformance:\n Mass: 204.14 kg\n Factor of Safety: 1.55\n Max Deflection: 2.00e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.13824331964625, "fos_buckling": 1.5451221136065252, "fos_yielding": 4.257362277970356, "deflection": 0.0020049111276210963, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.152)" }, "parent_node_id": "node_3509", "improvement_over_parent": null }, "node_3511": { "node_id": "node_3511", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, "fos_buckling": 1.543696844383073, "fos_yielding": 4.2525620543348355, "deflection": 0.002006985808245114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3510", "improvement_over_parent": null }, "node_3512": { "node_id": "node_3512", "content": "INITIAL DESIGN (Trace 499)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0011)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0020)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0012)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0014)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0028)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0019)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0019)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0026)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0018)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0024)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0021)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0030)]\n\nPerformance:\n Mass: 107.93 kg\n Factor of Safety: 0.29\n Max Deflection: 9.23e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 107.93287455534974, "fos_buckling": 0.2910763669083171, "fos_yielding": 1.3272083635707679, "deflection": 0.009231736840322217, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3513": { "node_id": "node_3513", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0011)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0020)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0012)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0014)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0028)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0019)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0019)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0026)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0018)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0024)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0021)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0030)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0019)]\n\nPerformance:\n Mass: 112.03 kg\n Factor of Safety: 0.80\n Max Deflection: 3.66e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 112.03241301652272, "fos_buckling": 0.7979931288120875, "fos_yielding": 2.3636957275609958, "deflection": 0.0036639485516077467, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.001938)" }, "parent_node_id": "node_3512", "improvement_over_parent": null }, "node_3514": { "node_id": "node_3514", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0012)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0016)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0032)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0029)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0021)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0024)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0034)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0022)]\n\nPerformance:\n Mass: 125.94 kg\n Factor of Safety: 0.89\n Max Deflection: 3.26e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 125.93760314431361, "fos_buckling": 0.8915205234450516, "fos_yielding": 2.6549763536977755, "deflection": 0.0032618334494819287, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.131)" }, "parent_node_id": "node_3513", "improvement_over_parent": null }, "node_3515": { "node_id": "node_3515", "content": "MODIFICATION: Increase 8 thickness by 52%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0012)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0014)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0016)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0032)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0021)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0032)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0029)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0021)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0024)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0034)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0022)]\n\nPerformance:\n Mass: 128.86 kg\n Factor of Safety: 0.87\n Max Deflection: 3.25e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 128.86029290383604, "fos_buckling": 0.867538020283329, "fos_yielding": 2.691646668948804, "deflection": 0.0032455129241444848, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.522)" }, "parent_node_id": "node_3514", "improvement_over_parent": null }, "node_3516": { "node_id": "node_3516", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0016)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0041)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n\nPerformance:\n Mass: 162.87 kg\n Factor of Safety: 1.08\n Max Deflection: 2.57e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 162.87067222036998, "fos_buckling": 1.0811402792417106, "fos_yielding": 3.3971114377142775, "deflection": 0.002570917185054603, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.284)" }, "parent_node_id": "node_3515", "improvement_over_parent": null }, "node_3517": { "node_id": "node_3517", "content": "MODIFICATION: Increase 0 thickness by 56%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0018)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0041)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0041)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0027)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n\nPerformance:\n Mass: 164.39 kg\n Factor of Safety: 1.07\n Max Deflection: 2.53e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 164.39138443469744, "fos_buckling": 1.073373583890191, "fos_yielding": 3.394011738625225, "deflection": 0.0025334627380059686, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.562)" }, "parent_node_id": "node_3516", "improvement_over_parent": null }, "node_3518": { "node_id": "node_3518", "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=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0052)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n\nPerformance:\n Mass: 203.83 kg\n Factor of Safety: 1.31\n Max Deflection: 2.05e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 203.82787101711725, "fos_buckling": 1.309179473125706, "fos_yielding": 4.201810155822126, "deflection": 0.00204633416249774, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.264)" }, "parent_node_id": "node_3517", "improvement_over_parent": null }, "node_3519": { "node_id": "node_3519", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0051)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0056)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.54\n Max Deflection: 2.01e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.93357817246283, 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